List of pitch intervals

Comparison between tunings: Pythagorean, equal-tempered, quarter-comma meantone, and others. For each, the common origin is arbitrarily chosen as C. The degrees are arranged in the order or the cycle of fifths; as in each of these tunings except just intonation all fifths are of the same size, the tunings appear as straight lines, the slope indicating the relative tempering with respect to Pythagorean, which has pure fifths (3:2, 702 cents). The Pythagorean A♭ (at the left) is at 792 cents, G♯ (at the right) at 816 cents; the difference is the Pythagorean comma. Equal temperament by definition is such that A♭ and G♯ are at the same level. Template:1/4-comma meantone produces the "just" major third (5:4, 386 cents, a syntonic comma lower than the Pythagorean one of 408 cents). Template:1/3-comma meantone produces the "just" minor third (6:5, 316 cents, a syntonic comma higher than the Pythagorean one of 294 cents). In both these meantone temperaments, the enharmony, here the difference between A♭ and G♯, is much larger than in Pythagorean, and with the flat degree higher than the sharp one.

File:Music intervals frequency ratio equal tempered pythagorean comparison.svg

Comparison of two sets of musical intervals. The equal-tempered intervals are black; the Pythagorean intervals are green.

Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals.

For commonly encountered harmonic or melodic intervals between pairs of notes in contemporary Western music theory, without consideration of the way in which they are tuned, see Template:Section link.

Terminology

The prime limit^[1] henceforth referred to simply as the limit, is the largest prime number occurring in the factorizations of the numerator and denominator of the frequency ratio describing a rational interval. For instance, the limit of the just perfect fourth (4:3) is 3, but the just minor tone (10:9) has a limit of 5, because 10 can be factored into 2 × 5 (and 9 into 3 × 3). There exists another type of limit, the odd limit, a concept used by Harry Partch (bigger of odd numbers obtained after dividing numerator and denominator by highest possible powers of 2), but it is not used here. The term "limit" was devised by Partch.^[1]
By definition, every interval in a given limit can also be part of a limit of higher order. For instance, a 3-limit unit can also be part of a 5-limit tuning and so on. By sorting the limit columns in the table below, all intervals of a given limit can be brought together (sort backwards by clicking the button twice).
Pythagorean tuning means 3-limit intonation—a ratio of numbers with prime factors no higher than three.
Just intonation means 5-limit intonation—a ratio of numbers with prime factors no higher than five.
Septimal, undecimal, tridecimal, and septendecimal mean, respectively, 7, 11, 13, and 17-limit intonation.
Meantone refers to meantone temperament, where the whole tone is the mean of the major third. In general, a meantone is constructed in the same way as Pythagorean tuning, as a stack of fifths: the tone is reached after two fifths, the major third after four, so that as all fifths are the same, the tone is the mean of the third. In a meantone temperament, each fifth is narrowed ("tempered") by the same small amount. The most common of meantone temperaments is the quarter-comma meantone, in which each fifth is tempered by Template:1/4 of the syntonic comma, so that after four steps the major third (as C-G-D-A-E) is a full syntonic comma lower than the Pythagorean one. The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. Template:Sfrac, the mean of the major third Template:Sfrac, and the fifth (3:2) is not tempered; and the Template:1/3-comma meantone, where the fifth is tempered to the extent that three ascending fifths produce a pure minor third.(See meantone temperaments). The music program Logic Pro uses also <templatestyles src="Fraction/styles.css" />1⁄2-comma meantone temperament.
Equal-tempered refers to X-tone equal temperament with intervals corresponding to X divisions per octave.
Tempered intervals however cannot be expressed in terms of prime limits and, unless exceptions, are not found in the table below.
The table can also be sorted by frequency ratio, by cents, or alphabetically.
Superparticular ratios are intervals that can be expressed as the ratio of two consecutive integers.

List

Column	Legend
TET	X-tone equal temperament (12-tet, etc.).
Limit	3-limit intonation, or Pythagorean.
	5-limit "just" intonation, or just.
	7-limit intonation, or septimal.
	11-limit intonation, or undecimal.
	13-limit intonation, or tridecimal.
	17-limit intonation, or septendecimal.
	19-limit intonation, or novendecimal.
	Higher limits.
M	Meantone temperament or tuning.
S	Superparticular ratio (no separate color code).

List of musical intervals
Cents	Note (from C)	Freq. ratio	Prime factors	Interval name	TET	Limit	M	S
0.00	C^[2]	1 : 1	1 : 1	Template:ErrorScript error: No such module "Category handler". Unison,^[3] monophony,^[4] perfect prime/first, ^[3] tonic,^[5] or fundamental	1, 12	3	M
0.03		65537 : 65536	65537 : 2¹⁶	Template:ErrorScript error: No such module "Category handler". Sixty-five-thousand-five-hundred-thirty-seventh harmonic		65537		S
0.40	C7♯−	4375 : 4374	5⁴×7 : 2×3⁷	Template:ErrorScript error: No such module "Category handler". Ragisma^[3]^[6]		7		S
0.72	E7777triple flat+	2401 : 2400	7⁴ : 2⁵×3×5²	Template:ErrorScript error: No such module "Category handler". Breedsma^[3]^[6]		7		S
1.00		2^1/1200	2^1/1200	Template:ErrorScript error: No such module "Category handler". Cent^[7]	1200
1.20		2^1/1000	2^1/1000	Template:ErrorScript error: No such module "Category handler". Millioctave	1000
1.95	B♯++	32805 : 32768	3⁸×5 : 2¹⁵	Template:ErrorScript error: No such module "Category handler". Schisma^[3]^[5]		5
1.96		3:2÷(2^7/12)	3 : 2^19/12	Grad, Werckmeister^[8]
3.99		10^1/1000	2^1/1000×5^1/1000	Template:ErrorScript error: No such module "Category handler". Savart or eptaméride	301.03
7.71	B7 upside-down♯	225 : 224	3²×5² : 2⁵×7	Template:ErrorScript error: No such module "Category handler". Septimal kleisma,^[3]^[6] marvel comma		7		S
8.11	Bdouble sharp−	15625 : 15552	5⁶ : 2⁶×3⁵	Template:ErrorScript error: No such module "Category handler". Kleisma or semicomma majeur^[3]^[6]		5
10.06	Adouble sharpdouble sharp++	2109375 : 2097152	3³×5⁷ : 2²¹	Template:ErrorScript error: No such module "Category handler". Semicomma,^[3]^[6] Fokker's comma^[3]		5
10.85	C43U	160 : 159	2⁵×5 : 3×53	Template:ErrorScript error: No such module "Category handler". Difference between 5:3 & 53:32		53		S
11.98	C29	145 : 144	5×29 : 2⁴×3²	Template:ErrorScript error: No such module "Category handler". Difference between 29:16 & 9:5		29		S
12.50		2^1/96	2^1/96	Template:ErrorScript error: No such module "Category handler". Sixteenth tone	96
13.07	B7 upside-down7 upside-down7 upside-down−	1728 : 1715	2⁶×3³ : 5×7³	Template:ErrorScript error: No such module "Category handler". Orwell comma^[3]^[9]		7
13.47	C43	129 : 128	3×43 : 2⁷	Template:ErrorScript error: No such module "Category handler". Hundred-twenty-ninth harmonic		43		S
13.79	Ddouble flat7	126 : 125	2×3²×7 : 5³	Template:ErrorScript error: No such module "Category handler". Small septimal semicomma,^[6] small septimal comma,^[3] starling comma		7		S
14.37	C♭↑↑−	121 : 120	11² : 2³×3×5	Template:ErrorScript error: No such module "Category handler". Undecimal seconds comma^[3]		11		S
16.67	C↑Template:Efn	2^1/72	2^1/72	Template:ErrorScript error: No such module "Category handler". 1 step in 72 equal temperament	72
18.13	C19U	96 : 95	2⁵×3 : 5×19	Template:ErrorScript error: No such module "Category handler". Difference between 19:16 & 6:5		19		S
19.55	Ddouble flat--^[2]	2048 : 2025	2¹¹ : 3⁴×5²	Template:ErrorScript error: No such module "Category handler". Diaschisma,^[3]^[6] minor comma		5
21.51	C+^[2]	81 : 80	3⁴ : 2⁴×5	Template:ErrorScript error: No such module "Category handler". Syntonic comma,^[3]^[5]^[6] major comma, komma, chromatic diesis, or comma of Didymus^[3]^[6]^[10]^[11]		5		S
22.64		2^1/53	2^1/53	Template:ErrorScript error: No such module "Category handler". Holdrian comma, Holder's comma, 1 step in 53 equal temperament	53
23.46	B♯+++	531441 : 524288	3¹² : 2¹⁹	Template:ErrorScript error: No such module "Category handler". Pythagorean comma,^[3]^[5]^[6]^[10]^[11] ditonic comma, Pythagorean augmented seventh^[3]^[6]		3
25.00		2^1/48	2^1/48	Template:ErrorScript error: No such module "Category handler". Eighth tone	48
26.84	C13	65 : 64	5×13 : 2⁶	Template:ErrorScript error: No such module "Category handler". Sixty-fifth harmonic,^[5] 13th-partial chroma^[3]		13		S
27.26	C7 upside-down−	64 : 63	2⁶ : 3²×7	Template:ErrorScript error: No such module "Category handler". Septimal comma,^[3]^[6]^[11] Archytas' comma,^[3] 63rd subharmonic		7		S
29.27		2^1/41	2^1/41	Template:ErrorScript error: No such module "Category handler". 1 step in 41 equal temperament	41
31.19	D7♭↓	56 : 55	2³×7 : 5×11	Template:ErrorScript error: No such module "Category handler". Undecimal diesis,^[3] Ptolemy's enharmonic:^[5] difference between (11 : 8) and (7 : 5) tritone		11		S
33.33	CFile:Half up arrow.png/D♭File:Half down arrow.pngFile:Half down arrow.pngTemplate:Efn	2^1/36	2^1/36	Template:ErrorScript error: No such module "Category handler". Sixth tone	36, 72
34.28	C17	51 : 50	3×17 : 2×5²	Template:ErrorScript error: No such module "Category handler". Difference between 17:16 & 25:24		17		S
34.98	B7 upside-down7 upside-down♯-	50 : 49	2×5² : 7²	Template:ErrorScript error: No such module "Category handler". Septimal sixth tone or jubilisma, Erlich's decatonic comma or tritonic diesis^[3]^[6]		7		S
35.70	D77♭	49 : 48	7² : 2⁴×3	Template:ErrorScript error: No such module "Category handler". Septimal diesis, slendro diesis or septimal 1/6-tone^[3]		7		S
38.05	C23	46 : 45	2×23 : 3²×5	Template:ErrorScript error: No such module "Category handler". Inferior quarter tone,^[5] difference between 23:16 & 45:32		23		S
38.71		2^1/31	2^1/31	Template:ErrorScript error: No such module "Category handler". 1 step in 31 equal temperament or Normal Diesis	31
38.91	C↓♯+	45 : 44	3²×5 : 4×11	Template:ErrorScript error: No such module "Category handler". Undecimal diesis or undecimal fifth tone		11		S
40.00		2^1/30	2^1/30	Template:ErrorScript error: No such module "Category handler". Fifth tone	30
41.06	Ddouble flat−	128 : 125	2⁷ : 5³	Template:ErrorScript error: No such module "Category handler". Enharmonic diesis or 5-limit limma, minor diesis,^[6] diminished second,^[5]^[6] minor diesis or diesis,^[3] 125th subharmonic		5
41.72	D41U7♭	42 : 41	2×3×7 : 41	Template:ErrorScript error: No such module "Category handler". Lesser 41-limit fifth tone		41		S
42.75	C41	41 : 40	41 : 2³×5	Template:ErrorScript error: No such module "Category handler". Greater 41-limit fifth tone		41		S
43.83	C13 upside down♯	40 : 39	2³×5 : 3×13	Template:ErrorScript error: No such module "Category handler". Tridecimal fifth tone		13		S
44.97	C19U13	39 : 38	3×13 : 2×19	Template:ErrorScript error: No such module "Category handler". Superior quarter-tone,^[5] novendecimal fifth tone		19		S
46.17	D37U19double flat-	38 : 37	2×19 : 37	Template:ErrorScript error: No such module "Category handler". Lesser 37-limit quarter tone		37		S
47.43	C37♯	37 : 36	37 : 2²×3²	Template:ErrorScript error: No such module "Category handler". Greater 37-limit quarter tone		37		S
48.77	C7 upside-down	36 : 35	2²×3² : 5×7	Template:ErrorScript error: No such module "Category handler". Septimal quarter tone, septimal diesis,^[3]^[6] septimal chroma,^[2] superior quarter tone^[5]		7		S
49.98		246 : 239	3×41 : 239	Template:ErrorScript error: No such module "Category handler". Just quarter tone^[11]		239
50.00	Chalf sharp/Dthree quarter flat	2^1/24	2^1/24	Template:ErrorScript error: No such module "Category handler". Equal-tempered quarter tone	24
50.18	D17 upside down7♭	35 : 34	5×7 : 2×17	Template:ErrorScript error: No such module "Category handler". ET quarter-tone approximation,^[5] lesser 17-limit quarter tone		17		S
50.72	B7 upside-down♯++	59049 : 57344	3¹⁰ : 2¹³×7	Template:ErrorScript error: No such module "Category handler". Harrison's comma (10 P5s – 1 H7)^[3]		7
51.68	C17↓♯	34 : 33	2×17 : 3×11	Template:ErrorScript error: No such module "Category handler". Greater 17-limit quarter tone		17		S
53.27	C↑	33 : 32	3×11 : 2⁵	Template:ErrorScript error: No such module "Category handler". Thirty-third harmonic,^[5] undecimal comma, undecimal quarter tone		11		S
54.96	D31U♭-	32 : 31	2⁵ : 31	Template:ErrorScript error: No such module "Category handler". Inferior quarter-tone,^[5] thirty-first subharmonic		31		S
56.55	B2323♯+	529 : 512	23² : 2⁹	Template:ErrorScript error: No such module "Category handler". Five-hundred-twenty-ninth harmonic		23
56.77	C31	31 : 30	31 : 2×3×5	Template:ErrorScript error: No such module "Category handler". Greater quarter-tone,^[5] difference between 31:16 & 15:8		31		S
58.69	C29U♯	30 : 29	2×3×5 : 29	Template:ErrorScript error: No such module "Category handler". Lesser 29-limit quarter tone		29		S
60.75	C297 upside-down	29 : 28	29 : 2²×7	Template:ErrorScript error: No such module "Category handler". Greater 29-limit quarter tone		29		S
62.96	D7♭-	28 : 27	2²×7 : 3³	Template:ErrorScript error: No such module "Category handler". Septimal minor second, small minor second, inferior quarter tone^[5]		7		S
63.81		(3 : 2)^1/11	3^1/11 : 2^1/11	Template:ErrorScript error: No such module "Category handler". Beta scale step	18.80
65.34	C13 upside down♯+	27 : 26	3³ : 2×13	Template:ErrorScript error: No such module "Category handler". Chromatic diesis,^[12] tridecimal comma^[3]		13		S
66.34	D197♭	133 : 128	7×19 : 2⁷	Template:ErrorScript error: No such module "Category handler". One-hundred-thirty-third harmonic		19
66.67	CFile:Sims flagged arrow down.svg↑/C♯File:Half down arrow.pngTemplate:Efn	2^1/18	2^1/18	Template:ErrorScript error: No such module "Category handler". Third tone	18, 36, 72
67.90	D13double flat-	26 : 25	2×13 : 5²	Template:ErrorScript error: No such module "Category handler". Tridecimal third tone, third tone^[5]		13		S
70.67	C♯^[2]	25 : 24	5² : 2³×3	Template:ErrorScript error: No such module "Category handler". Just chromatic semitone or minor chroma,^[3] lesser chromatic semitone, small (just) semitone^[11] or minor second,^[4] minor chromatic semitone,^[13] or minor semitone,^[5] <templatestyles src="Fraction/styles.css" />2⁄7-comma meantone chromatic semitone, augmented unison		5		S
73.68	D23U♭-	24 : 23	2³×3 : 23	Template:ErrorScript error: No such module "Category handler". Lesser 23-limit semitone		23		S
75.00		2^1/16	2^3/48	Template:ErrorScript error: No such module "Category handler". 1 step in 16 equal temperament, 3 steps in 48	16, 48
76.96	C23↓♯+	23 : 22	23 : 2×11	Template:ErrorScript error: No such module "Category handler". Greater 23-limit semitone		23		S
78.00		(3 : 2)^1/9	3^1/9 : 2^1/9	Template:ErrorScript error: No such module "Category handler". Alpha scale step	15.39
79.31		67 : 64	67 : 2⁶	Template:ErrorScript error: No such module "Category handler". Sixty-seventh harmonic^[5]		67
80.54	C↑7 upside-down-	22 : 21	2×11 : 3×7	Template:ErrorScript error: No such module "Category handler". Hard semitone,^[5] two-fifth tone small semitone		11		S
84.47	D7♭	21 : 20	3×7 : 2²×5	Template:ErrorScript error: No such module "Category handler". Septimal chromatic semitone, minor semitone^[3]		7		S
88.80	C19U♯	20 : 19	2²×5 : 19	Template:ErrorScript error: No such module "Category handler". Novendecimal augmented unison		19		S
90.22	D♭−−^[2]	256 : 243	2⁸ : 3⁵	Template:ErrorScript error: No such module "Category handler". Pythagorean minor second or limma,^[3]^[6]^[11] Pythagorean diatonic semitone, Low Semitone^[14]		3
92.18	C♯+^[2]	135 : 128	3³×5 : 2⁷	Template:ErrorScript error: No such module "Category handler". Greater chromatic semitone, chromatic semitone, semitone medius, major chroma or major limma,^[3] small limma,^[11] major chromatic semitone,^[13] limma ascendant^[5]		5
93.60	D19♭-	19 : 18	19 : 2×3²	Novendecimal minor secondTemplate:ErrorScript error: No such module "Category handler".		19		S
97.36	D↓↓	128 : 121	2⁷ : 11²	Template:ErrorScript error: No such module "Category handler". 121st subharmonic,^[5]^[6] undecimal minor second		11
98.95	D17 upside down♭	18 : 17	2×3² : 17	Template:ErrorScript error: No such module "Category handler". Just minor semitone, Arabic lute index finger^[3]		17		S
100.00	C♯/D♭	2^1/12	2^1/12	Template:ErrorScript error: No such module "Category handler". Equal-tempered minor second or semitone	12		M
104.96	C17♯^[2]	17 : 16	17 : 2⁴	Template:ErrorScript error: No such module "Category handler". Minor diatonic semitone, just major semitone, overtone semitone,^[5] 17th harmonic,^[3] limmaScript error: No such module "Unsubst".		17		S
111.45		²⁵√5	(5 : 1)^1/25	Template:ErrorScript error: No such module "Category handler". Studie II interval (compound just major third, 5:1, divided into 25 equal parts)	10.77
111.73	D♭-^[2]	16 : 15	2⁴ : 3×5	Template:ErrorScript error: No such module "Category handler". Just minor second,^[15] just diatonic semitone, large just semitone or major second,^[4] major semitone,^[5] limma, minor diatonic semitone,^[3] diatonic second^[16] semitone,^[14] diatonic semitone,^[11] <templatestyles src="Fraction/styles.css" />1⁄6-comma meantone minor second		5		S
113.69	C♯++	2187 : 2048	3⁷ : 2¹¹	Template:ErrorScript error: No such module "Category handler". Apotome^[3]^[11] or Pythagorean major semitone,^[6] Pythagorean augmented unison, Pythagorean chromatic semitone, or Pythagorean apotome		3
116.72		(18 : 5)^1/19	2^1/19×3^2/19 : 5^1/19	Template:ErrorScript error: No such module "Category handler". Secor	10.28
119.44	C7 upside-down♯	15 : 14	3×5 : 2×7	Template:ErrorScript error: No such module "Category handler". Septimal diatonic semitone, major diatonic semitone,^[3] Cowell semitone^[5]		7		S
125.00		2^5/48	2^5/48	Template:ErrorScript error: No such module "Category handler". 5 steps in 48 equal temperament	48
128.30	D13 upside down7	14 : 13	2×7 : 13	Template:ErrorScript error: No such module "Category handler". Lesser tridecimal 2/3-tone^[17]		13		S
130.23	C23♯+	69 : 64	3×23 : 2⁶	Template:ErrorScript error: No such module "Category handler". Sixty-ninth harmonic^[5]		23
133.24	D♭	27 : 25	3³ : 5²	Template:ErrorScript error: No such module "Category handler". Semitone maximus, minor second, large limma or Bohlen-Pierce small semitone,^[3] high semitone,^[14] alternate Renaissance half-step,^[5] large limma, acute minor secondScript error: No such module "Unsubst".		5
133.33	C♯File:Half up arrow.png/D♭File:Half up arrow.pngTemplate:Efn	2^1/9	2^2/18	Template:ErrorScript error: No such module "Category handler". Two-third tone	9, 18, 36, 72
138.57	D13♭-	13 : 12	13 : 2²×3	Template:ErrorScript error: No such module "Category handler". Greater tridecimal 2/3-tone,^[17] Three-quarter tone^[5]		13		S
150.00	Cthree quarter sharp/Dhalf flat	2^3/24	2^1/8	Template:ErrorScript error: No such module "Category handler". Equal-tempered neutral second	8, 24
150.64	D↓^[2]	12 : 11	2²×3 : 11	Template:ErrorScript error: No such module "Category handler". Template:3/4 tone or Undecimal neutral second,^[3]^[5] trumpet three-quarter tone,^[11] middle finger [between frets]^[14]		11		S
155.14	D7	35 : 32	5×7 : 2⁵	Template:ErrorScript error: No such module "Category handler". Thirty-fifth harmonic^[5]		7
160.90	D−−	800 : 729	2⁵×5² : 3⁶	Template:ErrorScript error: No such module "Category handler". Grave whole tone,^[3] neutral second, grave major secondScript error: No such module "Unsubst".		5
165.00	D↑♭−^[2]	11 : 10	11 : 2×5	Template:ErrorScript error: No such module "Category handler". Greater undecimal minor/major/neutral second, 4/5-tone^[6] or Ptolemy's second^[3]		11		S
171.43		2^1/7	2^1/7	Template:ErrorScript error: No such module "Category handler". 1 step in 7 equal temperament	7
175.00		2^7/48	2^7/48	Template:ErrorScript error: No such module "Category handler". 7 steps in 48 equal temperament	48
179.70		71 : 64	71 : 2⁶	Template:ErrorScript error: No such module "Category handler". Seventy-first harmonic^[5]		71
180.45	Edouble flat−−−	65536 : 59049	2¹⁶ : 3¹⁰	Template:ErrorScript error: No such module "Category handler". Pythagorean diminished third,^[3]^[6] Pythagorean minor tone		3
182.40	D−^[2]	10 : 9	2×5 : 3²	Template:ErrorScript error: No such module "Category handler". Small just whole tone or major second,^[4] minor whole tone,^[3]^[5] lesser whole tone,^[16] minor tone,^[14] minor second,^[11] half-comma meantone major second		5		S
200.00	D	2^2/12	2^1/6	Template:ErrorScript error: No such module "Category handler". Equal-tempered major second	6, 12		M
203.91	D^[2]	9 : 8	3² : 2³	Template:ErrorScript error: No such module "Category handler". Pythagorean major second, Large just whole tone or major second^[11] (sesquioctavan),^[4] tonus, major whole tone,^[3]^[5] greater whole tone,^[16] major tone^[14]		3		S
215.89	D29	145 : 128	5×29 : 2⁷	Template:ErrorScript error: No such module "Category handler". Hundred-forty-fifth harmonic		29
223.46	Edouble flat−^[2]	256 : 225	2⁸ : 3²×5²	Template:ErrorScript error: No such module "Category handler". Just diminished third,^[16] 225th subharmonic		5
225.00		2^3/16	2^9/48	Template:ErrorScript error: No such module "Category handler". 9 steps in 48 equal temperament	16, 48
227.79		73 : 64	73 : 2⁶	Template:ErrorScript error: No such module "Category handler". Seventy-third harmonic^[5]		73
231.17	D7 upside-down−^[2]	8 : 7	2³ : 7	Template:ErrorScript error: No such module "Category handler". Septimal major second,^[4] septimal whole tone^[3]^[5]		7		S
240.00		2^1/5	2^1/5	Template:ErrorScript error: No such module "Category handler". 1 step in 5 equal temperament	5
247.74	D13 upside down♯	15 : 13	3×5 : 13	Template:ErrorScript error: No such module "Category handler". Tridecimal <templatestyles src="Fraction/styles.css" />5⁄4 tone^[3]		13
250.00	Dhalf sharp/Ethree quarter flat	2^5/24	2^5/24	Template:ErrorScript error: No such module "Category handler". 5 steps in 24 equal temperament	24
251.34	D37♯	37 : 32	37 : 2⁵	Template:ErrorScript error: No such module "Category handler". Thirty-seventh harmonic^[5]		37
253.08	D♯−	125 : 108	5³ : 2²×3³	Template:ErrorScript error: No such module "Category handler". Semi-augmented whole tone,^[3] semi-augmented secondScript error: No such module "Unsubst".		5
262.37	E↓♭	64 : 55	2⁶ : 5×11	Template:ErrorScript error: No such module "Category handler". 55th subharmonic^[5]^[6]		11
266.87	E7♭^[2]	7 : 6	7 : 2×3	Template:ErrorScript error: No such module "Category handler". Septimal minor third^[3]^[4]^[11] or Sub minor third^[14]		7		S
268.80	D2313	299 : 256	13×23 : 2⁸	Template:ErrorScript error: No such module "Category handler". Two-hundred-ninety-ninth harmonic		23
274.58	D♯^[2]	75 : 64	3×5² : 2⁶	Template:ErrorScript error: No such module "Category handler". Just augmented second,^[16] Augmented tone,^[14] augmented second^[5]^[13]		5
275.00		2^11/48	2^11/48	Template:ErrorScript error: No such module "Category handler". 11 steps in 48 equal temperament	48
289.21	E13↓♭	13 : 11	13 : 11	Template:ErrorScript error: No such module "Category handler". Tridecimal minor third^[3]		13
294.13	E♭−^[2]	32 : 27	2⁵ : 3³	Template:ErrorScript error: No such module "Category handler". Pythagorean minor third^[3]^[5]^[6]^[14]^[16] semiditone, or 27th subharmonic		3
297.51	E19♭^[2]	19 : 16	19 : 2⁴	Template:ErrorScript error: No such module "Category handler". 19th harmonic,^[3] 19-limit minor third, overtone minor third^[5]		19
300.00	D♯/E♭	2^3/12	2^1/4	Template:ErrorScript error: No such module "Category handler". Equal-tempered minor third	4, 12		M
301.85	D7 upside-down♯-	25 : 21^[5]	5² : 3×7	Template:ErrorScript error: No such module "Category handler". Quasi-equal-tempered minor third, 2nd 7-limit minor third, Bohlen-Pierce second^[3]^[6]		7
310.26		6:5÷(81:80)^1/4	2² : 5^3/4	Template:ErrorScript error: No such module "Category handler". Quarter-comma meantone minor third			M
311.98		(3 : 2)^4/9	3^4/9 : 2^4/9	Template:ErrorScript error: No such module "Category handler". Alpha scale minor third	15.39
315.64	E♭^[2]	6 : 5	2×3 : 5	Template:ErrorScript error: No such module "Category handler". Just minor third,^[3]^[4]^[5]^[11]^[16] minor third,^[14] Template:1/3-comma meantone minor third		5	M	S
317.60	D♯++	19683 : 16384	3⁹ : 2¹⁴	Template:ErrorScript error: No such module "Category handler". Pythagorean augmented second^[3]^[6]		3
320.14	E7♭↑	77 : 64	7×11 : 2⁶	Template:ErrorScript error: No such module "Category handler". Seventy-seventh harmonic^[5]		11
325.00		2^13/48	2^13/48	Template:ErrorScript error: No such module "Category handler". 13 steps in 48 equal temperament	48
336.13	D177 upside-down♯-	17 : 14	17 : 2×7	Template:ErrorScript error: No such module "Category handler". Superminor third^[18]		17
337.15	E♭+	243 : 200	3⁵ : 2³×5²	Template:ErrorScript error: No such module "Category handler". Acute minor third^[3]		5
342.48	E13♭	39 : 32	3×13 : 2⁵	Template:ErrorScript error: No such module "Category handler". Thirty-ninth harmonic^[5]		13
342.86		2^2/7	2^2/7	Template:ErrorScript error: No such module "Category handler". 2 steps in 7 equal temperament	7
342.91	E7 upside-down♭-	128 : 105	2⁷ : 3×5×7	Template:ErrorScript error: No such module "Category handler". 105th subharmonic,^[5] septimal neutral third^[6]		7
347.41	E↑♭−^[2]	11 : 9	11 : 3²	Template:ErrorScript error: No such module "Category handler". Undecimal neutral third^[3]^[5]		11
350.00	Dthree quarter sharp/Ehalf flat	2^7/24	2^7/24	Template:ErrorScript error: No such module "Category handler". Equal-tempered neutral third	24
354.55	E↓+	27 : 22	3³ : 2×11	Template:ErrorScript error: No such module "Category handler". Zalzal's wosta^[6] 12:11 X 9:8^[14]		11
359.47	E13 upside down^[2]	16 : 13	2⁴ : 13	Template:ErrorScript error: No such module "Category handler". Tridecimal neutral third^[3]		13
364.54		79 : 64	79 : 2⁶	Template:ErrorScript error: No such module "Category handler". Seventy-ninth harmonic^[5]		79
364.81	E−	100 : 81	2²×5² : 3⁴	Template:ErrorScript error: No such module "Category handler". Grave major third^[3]		5
375.00		2^5/16	2^15/48	Template:ErrorScript error: No such module "Category handler". 15 steps in 48 equal temperament	16, 48
384.36	F♭−−	8192 : 6561	2¹³ : 3⁸	Template:ErrorScript error: No such module "Category handler". Pythagorean diminished fourth,^[3]^[6] Pythagorean 'schismatic' third^[5]		3
386.31	E^[2]	5 : 4	5 : 2²	Template:ErrorScript error: No such module "Category handler". Just major third,^[3]^[4]^[5]^[11]^[16] major third,^[14] quarter-comma meantone major third		5	M	S
397.10	E237+	161 : 128	7×23 : 2⁷	Template:ErrorScript error: No such module "Category handler". One-hundred-sixty-first harmonic		23
400.00	E	2^4/12	2^1/3	Template:ErrorScript error: No such module "Category handler". Equal-tempered major third	3, 12		M
402.47	E1917	323 : 256	17×19 : 2⁸	Template:ErrorScript error: No such module "Category handler". Three-hundred-twenty-third harmonic		19
407.82	E+^[2]	81 : 64	3⁴ : 2⁶	Template:ErrorScript error: No such module "Category handler". Pythagorean major third,^[3]^[5]^[6]^[14]^[16] ditone		3
417.51	F7↓+^[2]	14 : 11	2×7 : 11	Template:ErrorScript error: No such module "Category handler". Undecimal diminished fourth or major third^[3]		11
425.00		2^17/48	2^17/48	Template:ErrorScript error: No such module "Category handler". 17 steps in 48 equal temperament	48
427.37	F♭^[2]	32 : 25	2⁵ : 5²	Template:ErrorScript error: No such module "Category handler". Just diminished fourth,^[16] diminished fourth,^[5]^[13] 25th subharmonic		5
429.06	E41	41 : 32	41 : 2⁵	Template:ErrorScript error: No such module "Category handler". Forty-first harmonic^[5]		41
435.08	E7 upside-down^[2]	9 : 7	3² : 7	Template:ErrorScript error: No such module "Category handler". Septimal major third,^[3]^[5] Bohlen-Pierce third,^[3] Super major Third^[14]		7
444.77	F↓	128 : 99	2⁷ : 3²×11	Template:ErrorScript error: No such module "Category handler". 99th subharmonic^[5]^[6]		11
450.00	Ehalf sharp/Fhalf flat	2^9/24	2^9/24	Template:ErrorScript error: No such module "Category handler". 9 steps in 24 equal temperament	8, 24
450.05		83 : 64	83 : 2⁶	Template:ErrorScript error: No such module "Category handler". Eighty-third harmonic^[5]		83
454.21	F♭13	13 : 10	13 : 2×5	Template:ErrorScript error: No such module "Category handler". Tridecimal major third or diminished fourth		13
456.99	E♯^[2]	125 : 96	5³ : 2⁵×3	Template:ErrorScript error: No such module "Category handler". Just augmented third, augmented third^[5]		5
462.35	E7 upside-down7 upside-down-	64 : 49	2⁶ : 7²	Template:ErrorScript error: No such module "Category handler". 49th subharmonic^[5]^[6]		7
470.78	F7+^[2]	21 : 16	3×7 : 2⁴	Template:ErrorScript error: No such module "Category handler". Twenty-first harmonic, narrow fourth,^[3] septimal fourth,^[5] wide augmented third,Script error: No such module "Unsubst". H7 on G		7
475.00		2^19/48	2^19/48	Template:ErrorScript error: No such module "Category handler". 19 steps in 48 equal temperament	48
478.49	E♯+	675 : 512	3³×5² : 2⁹	Template:ErrorScript error: No such module "Category handler". Six-hundred-seventy-fifth harmonic, wide augmented third^[3]		5
480.00		2^2/5	2^2/5	Template:ErrorScript error: No such module "Category handler". 2 steps in 5 equal temperament	5
491.27	E17♯	85 : 64	5×17 : 2⁶	Template:ErrorScript error: No such module "Category handler". Eighty-fifth harmonic^[5]		17
498.04	F^[2]	4 : 3	2² : 3	Template:ErrorScript error: No such module "Category handler". Perfect fourth,^[3]^[5]^[16] Pythagorean perfect fourth, Just perfect fourth or diatessaron^[4]		3		S
500.00	F	2^5/12	2^5/12	Template:ErrorScript error: No such module "Category handler". Equal-tempered perfect fourth	12		M
501.42	F19+	171 : 128	3²×19 : 2⁷	Template:ErrorScript error: No such module "Category handler". One-hundred-seventy-first harmonic		19
510.51		(3 : 2)^8/11	3^8/11 : 2^8/11	Template:ErrorScript error: No such module "Category handler". Beta scale perfect fourth	18.80
511.52	F43	43 : 32	43 : 2⁵	Template:ErrorScript error: No such module "Category handler". Forty-third harmonic^[5]		43
514.29		2^3/7	2^3/7	Template:ErrorScript error: No such module "Category handler". 3 steps in 7 equal temperament	7
519.55	F+^[2]	27 : 20	3³ : 2²×5	Template:ErrorScript error: No such module "Category handler". 5-limit wolf fourth, acute fourth,^[3] imperfect fourth^[16]		5
521.51	E♯+++	177147 : 131072	3¹¹ : 2¹⁷	Template:ErrorScript error: No such module "Category handler". Pythagorean augmented third^[3]^[6] (F+ (pitch))		3
525.00		2^7/16	2^21/48	Template:ErrorScript error: No such module "Category handler". 21 steps in 48 equal temperament	16, 48
531.53	F29+	87 : 64	3×29 : 2⁶	Template:ErrorScript error: No such module "Category handler". Eighty-seventh harmonic^[5]		29
536.95	F↓♯+	15 : 11	3×5 : 11	Template:ErrorScript error: No such module "Category handler". Undecimal augmented fourth^[3]		11
550.00	Fhalf sharp/Gthree quarter flat	2^11/24	2^11/24	Template:ErrorScript error: No such module "Category handler". 11 steps in 24 equal temperament	24
551.32	F↑^[2]	11 : 8	11 : 2³	Template:ErrorScript error: No such module "Category handler". eleventh harmonic,^[5] undecimal tritone,^[5] lesser undecimal tritone, undecimal semi-augmented fourth^[3]		11
563.38	F13 upside down♯+	18 : 13	2×9 : 13	Template:ErrorScript error: No such module "Category handler". Tridecimal augmented fourth^[3]		13
568.72	F♯^[2]	25 : 18	5² : 2×3²	Template:ErrorScript error: No such module "Category handler". Just augmented fourth^[3]^[5]		5
570.88		89 : 64	89 : 2⁶	Template:ErrorScript error: No such module "Category handler". Eighty-ninth harmonic^[5]		89
575.00		2^23/48	2^23/48	Template:ErrorScript error: No such module "Category handler". 23 steps in 48 equal temperament	48
582.51	G7♭^[2]	7 : 5	7 : 5	Template:ErrorScript error: No such module "Category handler". Lesser septimal tritone, septimal tritone^[3]^[4]^[5] Huygens' tritone or Bohlen-Pierce fourth,^[3] septimal fifth,^[11] septimal diminished fifth^[19]		7
588.27	G♭−−	1024 : 729	2¹⁰ : 3⁶	Template:ErrorScript error: No such module "Category handler". Pythagorean diminished fifth,^[3]^[6] low Pythagorean tritone^[5]		3
590.22	F♯+^[2]	45 : 32	3²×5 : 2⁵	Template:ErrorScript error: No such module "Category handler". Just augmented fourth, just tritone,^[4]^[11] tritone,^[6] diatonic tritone,^[3] 'augmented' or 'false' fourth,^[16] high 5-limit tritone,^[5] <templatestyles src="Fraction/styles.css" />1⁄6-comma meantone augmented fourth		5
595.03	G1919♭	361 : 256	19² : 2⁸	Template:ErrorScript error: No such module "Category handler". Three-hundred-sixty-first harmonic		19
600.00	F♯/G♭	2^6/12	2^1/2=√2	Template:ErrorScript error: No such module "Category handler". Equal-tempered tritone	2, 12		M
609.35	G137♭	91 : 64	7×13 : 2⁶	Template:ErrorScript error: No such module "Category handler". Ninety-first harmonic^[5]		13
609.78	G♭−^[2]	64 : 45	2⁶ : 3²×5	Template:ErrorScript error: No such module "Category handler". Just tritone,^[4] 2nd tritone,^[6] 'false' fifth,^[16] diminished fifth,^[13] low 5-limit tritone,^[5] 45th subharmonic		5
611.73	F♯++	729 : 512	3⁶ : 2⁹	Template:ErrorScript error: No such module "Category handler". Pythagorean tritone,^[3]^[6] Pythagorean augmented fourth, high Pythagorean tritone^[5]		3
617.49	F♯7 upside-down^[2]	10 : 7	2×5 : 7	Template:ErrorScript error: No such module "Category handler". Greater septimal tritone, septimal tritone,^[4]^[5] Euler's tritone^[3]		7
625.00		2^25/48	2^25/48	Template:ErrorScript error: No such module "Category handler". 25 steps in 48 equal temperament	48
628.27	F23♯+	23 : 16	23 : 2⁴	Template:ErrorScript error: No such module "Category handler". Twenty-third harmonic,^[5] classic diminished fifthScript error: No such module "Unsubst".		23
631.28	G♭^[2]	36 : 25	2²×3² : 5²	Template:ErrorScript error: No such module "Category handler". Just diminished fifth^[5]		5
646.99	F31♯+	93 : 64	3×31 : 2⁶	Template:ErrorScript error: No such module "Category handler". Ninety-third harmonic^[5]		31
648.68	G↓^[2]	16 : 11	2⁴ : 11	Template:ErrorScript error: No such module "Category handler". ` undecimal semi-diminished fifth^[3]		11
650.00	Fthree quarter sharp/Ghalf flat	2^13/24	2^13/24	Template:ErrorScript error: No such module "Category handler". 13 steps in 24 equal temperament	24
665.51	G43U	47 : 32	47 : 2⁵	Template:ErrorScript error: No such module "Category handler". Forty-seventh harmonic^[5]		47
675.00		2^9/16	2^27/48	Template:ErrorScript error: No such module "Category handler". 27 steps in 48 equal temperament	16, 48
678.49	Adouble flat−−−	262144 : 177147	2¹⁸ : 3¹¹	Template:ErrorScript error: No such module "Category handler". Pythagorean diminished sixth^[3]^[6]		3
680.45	G−	40 : 27	2³×5 : 3³	Template:ErrorScript error: No such module "Category handler". 5-limit wolf fifth,^[5] or diminished sixth, grave fifth,^[3]^[6]^[11] imperfect fifth,^[16]		5
683.83	G19	95 : 64	5×19 : 2⁶	Template:ErrorScript error: No such module "Category handler". Ninety-fifth harmonic^[5]		19
684.82	E232323double sharp++	12167 : 8192	23³ : 2¹³	Template:ErrorScript error: No such module "Category handler". 12167th harmonic		23
685.71		2^4/7 : 1		Template:ErrorScript error: No such module "Category handler". 4 steps in 7 equal temperament	7
691.20		3:2÷(81:80)^1/2	2×5^1/2 : 3	Template:ErrorScript error: No such module "Category handler". Half-comma meantone perfect fifth			M
694.79		3:2÷(81:80)^1/3	2^1/3×5^1/3 : 3^1/3	Template:ErrorScript error: No such module "Category handler". <templatestyles src="Fraction/styles.css" />1⁄3-comma meantone perfect fifth			M
695.81		3:2÷(81:80)^2/7	2^1/7×5^2/7 : 3^1/7	Template:ErrorScript error: No such module "Category handler". <templatestyles src="Fraction/styles.css" />2⁄7-comma meantone perfect fifth			M
696.58		3:2÷(81:80)^1/4	5^1/4	Template:ErrorScript error: No such module "Category handler". Quarter-comma meantone perfect fifth			M
697.65		3:2÷(81:80)^1/5	3^1/5×5^1/5 : 2^1/5	Template:ErrorScript error: No such module "Category handler". <templatestyles src="Fraction/styles.css" />1⁄5-comma meantone perfect fifth			M
698.37		3:2÷(81:80)^1/6	3^1/3×5^1/6 : 2^1/3	Template:ErrorScript error: No such module "Category handler". <templatestyles src="Fraction/styles.css" />1⁄6-comma meantone perfect fifth			M
700.00	G	2^7/12	2^7/12	Template:ErrorScript error: No such module "Category handler". Equal-tempered perfect fifth	12		M
701.89		2^31/53	2^31/53	Template:ErrorScript error: No such module "Category handler". 53-TET perfect fifth	53
701.96	G^[2]	3 : 2	3 : 2	Template:ErrorScript error: No such module "Category handler". Perfect fifth,^[3]^[5]^[16] Pythagorean perfect fifth, Just perfect fifth or diapente,^[4] fifth,^[14] Just fifth^[11]		3		S
702.44		2^24/41	2^24/41	Template:ErrorScript error: No such module "Category handler". 41-TET perfect fifth	41
703.45		2^17/29	2^17/29	Template:ErrorScript error: No such module "Category handler". 29-TET perfect fifth	29
719.90		97 : 64	97 : 2⁶	Template:ErrorScript error: No such module "Category handler". Ninety-seventh harmonic^[5]		97
720.00		2^3/5 : 1		Template:ErrorScript error: No such module "Category handler". 3 steps in 5 equal temperament	5
721.51	Adouble flat−	1024 : 675	2¹⁰ : 3³×5²	Template:ErrorScript error: No such module "Category handler". Narrow diminished sixth^[3]		5
725.00		2^29/48	2^29/48	Template:ErrorScript error: No such module "Category handler". 29 steps in 48 equal temperament	48
729.22	G7 upside-down-	32 : 21	2⁴ : 3×7	Template:ErrorScript error: No such module "Category handler". 21st subharmonic,^[5]^[6] septimal diminished sixth		7
733.23	F2317double sharp+	391 : 256	17×23 : 2⁸	Template:ErrorScript error: No such module "Category handler". Three-hundred-ninety-first harmonic		23
737.65	A77♭+	49 : 32	7×7 : 2⁵	Template:ErrorScript error: No such module "Category handler". Forty-ninth harmonic^[5]		7
743.01	Adouble flat	192 : 125	2⁶×3 : 5³	Template:ErrorScript error: No such module "Category handler". Classic diminished sixth^[3]		5
750.00	Ghalf sharp/Athree quarter flat	2^15/24	2^15/24	Template:ErrorScript error: No such module "Category handler". 15 steps in 24 equal temperament	8, 24
755.23	G↑	99 : 64	3²×11 : 2⁶	Template:ErrorScript error: No such module "Category handler". Ninety-ninth harmonic^[5]		11
764.92	A7♭^[2]	14 : 9	2×7 : 3²	Template:ErrorScript error: No such module "Category handler". Septimal minor sixth^[3]^[5]		7
772.63	G♯	25 : 16	5² : 2⁴	Template:ErrorScript error: No such module "Category handler". Just augmented fifth^[5]^[16]		5
775.00		2^31/48	2^31/48	Template:ErrorScript error: No such module "Category handler". 31 steps in 48 equal temperament	48
781.79		[[pi\|Template:Pi]] : 2		Template:ErrorScript error: No such module "Category handler". Wallis product
782.49	G7 upside-down↑-^[2]	11 : 7	11 : 7	Template:ErrorScript error: No such module "Category handler". Undecimal minor sixth,^[5] undecimal augmented fifth,^[3] Lucas numbers		11
789.85		101 : 64	101 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-first harmonic^[5]		101
792.18	A♭−^[2]	128 : 81	2⁷ : 3⁴	Template:ErrorScript error: No such module "Category handler". Pythagorean minor sixth,^[3]^[5]^[6] 81st subharmonic		3
798.40	A297♭+	203 : 128	7×29 : 2⁷	Template:ErrorScript error: No such module "Category handler". Two-hundred-third harmonic		29
800.00	G♯/A♭	2^8/12	2^2/3	Template:ErrorScript error: No such module "Category handler". Equal-tempered minor sixth	3, 12		M
806.91	G17♯	51 : 32	3×17 : 2⁵	Template:ErrorScript error: No such module "Category handler". Fifty-first harmonic^[5]		17
813.69	A♭^[2]	8 : 5	2³ : 5	Template:ErrorScript error: No such module "Category handler". Just minor sixth^[3]^[4]^[11]^[16]		5
815.64	G♯++	6561 : 4096	3⁸ : 2¹²	Template:ErrorScript error: No such module "Category handler". Pythagorean augmented fifth,^[3]^[6] Pythagorean 'schismatic' sixth^[5]		3
823.80		103 : 64	103 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-third harmonic^[5]		103
825.00		2^11/16	2^33/48	Template:ErrorScript error: No such module "Category handler". 33 steps in 48 equal temperament	16, 48
832.18	G23♯+	207 : 128	3²×23 : 2⁷	Template:ErrorScript error: No such module "Category handler". Two-hundred-seventh harmonic		23
833.09		(5^1/2+1)/2	Template:Mvar : 1	Template:ErrorScript error: No such module "Category handler". Golden ratio (833 cents scale)
835.19	A♭+	81 : 50	3⁴ : 2×5²	Template:ErrorScript error: No such module "Category handler". Acute minor sixth^[3]		5
840.53	A13♭^[2]	13 : 8	13 : 2³	Template:ErrorScript error: No such module "Category handler". Tridecimal neutral sixth, ^[3]Fibonacci numbers, overtone sixth,^[5] thirteenth harmonic		13
848.83	A19♭↑	209 : 128	11×19 : 2⁷	Template:ErrorScript error: No such module "Category handler". Two-hundred-ninth harmonic		19
850.00	Gthree quarter sharp/Ahalf flat	2^17/24	2^17/24	Template:ErrorScript error: No such module "Category handler". Equal-tempered neutral sixth	24
852.59	A↓+^[2]	18 : 11	2×3² : 11	Template:ErrorScript error: No such module "Category handler". Undecimal neutral sixth,^[3]^[5] Zalzal's neutral sixth		11
857.09	A7+	105 : 64	3×5×7 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-fifth harmonic^[5]		7
857.14		2^5/7	2^5/7	Template:ErrorScript error: No such module "Category handler". 5 steps in 7 equal temperament	7
862.85	A−	400 : 243	2⁴×5² : 3⁵	Template:ErrorScript error: No such module "Category handler". Grave major sixth^[3]		5
873.50	A43U	53 : 32	53 : 2⁵	Template:ErrorScript error: No such module "Category handler". Fifty-third harmonic^[5]		53
875.00		2^35/48	2^35/48	Template:ErrorScript error: No such module "Category handler". 35 steps in 48 equal temperament	48
879.86	A↓7 upside-down	128 : 77	2⁷ : 7×11	Template:ErrorScript error: No such module "Category handler". 77th subharmonic^[5]^[6]		11
882.40	Bdouble flat−−−	32768 : 19683	2¹⁵ : 3⁹	Template:ErrorScript error: No such module "Category handler". Pythagorean diminished seventh^[3]^[6]		3
884.36	A^[2]	5 : 3	5 : 3	Template:ErrorScript error: No such module "Category handler". Just major sixth,^[3]^[4]^[5]^[11]^[16] Bohlen-Pierce sixth,^[3] Template:1/3-comma meantone major sixth		5	M
889.76		107 : 64	107 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-seventh harmonic^[5]		107
892.54	B191919double flat	6859 : 4096	19³ : 2¹²	Template:ErrorScript error: No such module "Category handler". 6859th harmonic		19
900.00	A	2^9/12	2^3/4	Template:ErrorScript error: No such module "Category handler". Equal-tempered major sixth	4, 12		M
902.49	A19U	32 : 19	2⁵ : 19	Template:ErrorScript error: No such module "Category handler". 19th subharmonic^[5]^[6]		19
905.87	A+^[2]	27 : 16	3³ : 2⁴	Template:ErrorScript error: No such module "Category handler". Pythagorean major sixth^[3]^[5]^[11]^[16]		3
921.82		109 : 64	109 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-ninth harmonic^[5]		109
925.00		2^37/48	2^37/48	Template:ErrorScript error: No such module "Category handler". 37 steps in 48 equal temperament	48
925.42	Bdouble flat−^[2]	128 : 75	2⁷ : 3×5²	Template:ErrorScript error: No such module "Category handler". Just diminished seventh,^[16] diminished seventh,^[5]^[13] 75th subharmonic		5
925.79	A2319+	437 : 256	19×23 : 2⁸	Template:ErrorScript error: No such module "Category handler". Four-hundred-thirty-seventh harmonic		23
933.13	A7 upside-down^[2]	12 : 7	2²×3 : 7	Template:ErrorScript error: No such module "Category handler". Septimal major sixth^[3]^[4]^[5]		7
937.63	A↑	55 : 32	5×11 : 2⁵	Template:ErrorScript error: No such module "Category handler". Fifty-fifth harmonic^[5]^[20]		11
950.00	Ahalf sharp/Bthree quarter flat	2^19/24	2^19/24	Template:ErrorScript error: No such module "Category handler". 19 steps in 24 equal temperament	24
953.30	A37♯+	111 : 64	3×37 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-eleventh harmonic^[5]		37
955.03	A♯^[2]	125 : 72	5³ : 2³×3²	Template:ErrorScript error: No such module "Category handler". Just augmented sixth^[5]		5
957.21		(3 : 2)^15/11	3^15/11 : 2^15/11	Template:ErrorScript error: No such module "Category handler". 15 steps in Beta scale	18.80
960.00		2^4/5	2^4/5	Template:ErrorScript error: No such module "Category handler". 4 steps in 5 equal temperament	5
968.83	B7♭^[2]	7 : 4	7 : 2²	Template:ErrorScript error: No such module "Category handler". Septimal minor seventh,^[4]^[5]^[11] harmonic seventh,^[3]^[11] augmented sixthScript error: No such module "Unsubst".		7
975.00		2^13/16	2^39/48	Template:ErrorScript error: No such module "Category handler". 39 steps in 48 equal temperament	16, 48
976.54	A♯+^[2]	225 : 128	3²×5² : 2⁷	Template:ErrorScript error: No such module "Category handler". Just augmented sixth^[16]		5
984.21		113 : 64	113 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-thirteenth harmonic^[5]		113
996.09	B♭−^[2]	16 : 9	2⁴ : 3²	Template:ErrorScript error: No such module "Category handler". Pythagorean minor seventh,^[3] Small just minor seventh,^[4] lesser minor seventh,^[16] just minor seventh,^[11] Pythagorean small minor seventh^[5]		3
999.47	B19♭	57 : 32	3×19 : 2⁵	Template:ErrorScript error: No such module "Category handler". Fifty-seventh harmonic^[5]		19
1000.00	A♯/B♭	2^10/12	2^5/6	Template:ErrorScript error: No such module "Category handler". Equal-tempered minor seventh	6, 12		M
1014.59	A23♯+	115 : 64	5×23 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-fifteenth harmonic^[5]		23
1017.60	B♭^[2]	9 : 5	3² : 5	Template:ErrorScript error: No such module "Category handler". Greater just minor seventh,^[16] large just minor seventh,^[4]^[5] Bohlen-Pierce seventh^[3]		5
1019.55	A♯+++	59049 : 32768	3¹⁰ : 2¹⁵	Template:ErrorScript error: No such module "Category handler". Pythagorean augmented sixth^[3]^[6]		3
1025.00		2^41/48	2^41/48	Template:ErrorScript error: No such module "Category handler". 41 steps in 48 equal temperament	48
1028.57		2^6/7	2^6/7	Template:ErrorScript error: No such module "Category handler". 6 steps in 7 equal temperament	7
1029.58	B29♭	29 : 16	29 : 2⁴	Template:ErrorScript error: No such module "Category handler". Twenty-ninth harmonic,^[5] minor seventhScript error: No such module "Unsubst".		29
1035.00	B↓^[2]	20 : 11	2²×5 : 11	Template:ErrorScript error: No such module "Category handler". Lesser undecimal neutral seventh, large minor seventh^[3]		11
1039.10	B♭+	729 : 400	3⁶ : 2⁴×5²	Template:ErrorScript error: No such module "Category handler". Acute minor seventh^[3]		5
1044.44	B13♭	117 : 64	3²×13 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-seventeenth harmonic^[5]		13
1044.86	B7 upside-down♭-	64 : 35	2⁶ : 5×7	Template:ErrorScript error: No such module "Category handler". 35th subharmonic,^[5] septimal neutral seventh^[6]		7
1049.36	B↑♭−^[2]	11 : 6	11 : 2×3	Template:ErrorScript error: No such module "Category handler". <templatestyles src="Fraction/styles.css" />21⁄4-tone or Undecimal neutral seventh,^[3] undecimal 'median' seventh^[5]		11
1050.00	Athree quarter sharp/Bhalf flat	2^21/24	2^7/8	Template:ErrorScript error: No such module "Category handler". Equal-tempered neutral seventh	8, 24
1059.17		59 : 32	59 : 2⁵	Template:ErrorScript error: No such module "Category handler". Fifty-ninth harmonic^[5]		59
1066.76	B−	50 : 27	2×5² : 3³	Template:ErrorScript error: No such module "Category handler". Grave major seventh^[3]		5
1071.70	B137 upside-down♭-	13 : 7	13 : 7	Template:ErrorScript error: No such module "Category handler". Tridecimal neutral seventh^[21]		13
1073.78	B717	119 : 64	7×17 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-nineteenth harmonic^[5]		17
1075.00		2^43/48	2^43/48	Template:ErrorScript error: No such module "Category handler". 43 steps in 48 equal temperament	48
1086.31	C′♭−−	4096 : 2187	2¹² : 3⁷	Template:ErrorScript error: No such module "Category handler". Pythagorean diminished octave^[3]^[6]		3
1088.27	B^[2]	15 : 8	3×5 : 2³	Template:ErrorScript error: No such module "Category handler". Just major seventh,^[3]^[5]^[11]^[16] small just major seventh,^[4] <templatestyles src="Fraction/styles.css" />1⁄6-comma meantone major seventh		5
1095.04	C17 upside down♭	32 : 17	2⁵ : 17	Template:ErrorScript error: No such module "Category handler". 17th subharmonic^[5]^[6]		17
1100.00	B	2^11/12	2^11/12	Template:ErrorScript error: No such module "Category handler". Equal-tempered major seventh	12		M
1102.64	B↑↑♭-	121 : 64	11² : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-twenty-first harmonic^[5]		11
1107.82	C′♭−	256 : 135	2⁸ : 3³×5	Template:ErrorScript error: No such module "Category handler". Octave − major chroma,^[3] 135th subharmonic, narrow diminished octaveScript error: No such module "Unsubst".		5
1109.78	B+^[2]	243 : 128	3⁵ : 2⁷	Template:ErrorScript error: No such module "Category handler". Pythagorean major seventh^[3]^[5]^[6]^[11]		3
1116.88		61 : 32	61 : 2⁵	Template:ErrorScript error: No such module "Category handler". Sixty-first harmonic^[5]		61
1125.00		2^15/16	2^45/48	Template:ErrorScript error: No such module "Category handler". 45 steps in 48 equal temperament	16, 48
1129.33	C′♭^[2]	48 : 25	2⁴×3 : 5²	Template:ErrorScript error: No such module "Category handler". Classic diminished octave,^[3]^[6] large just major seventh^[4]		5
1131.02	B41	123 : 64	3×41 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-twenty-third harmonic^[5]		41
1137.04	B7 upside-down	27 : 14	3³ : 2×7	Template:ErrorScript error: No such module "Category handler". Septimal major seventh^[5]		7
1138.04	C1913♭	247 : 128	13×19 : 2⁷	Template:ErrorScript error: No such module "Category handler". Two-hundred-forty-seventh harmonic		19
1145.04	B31	31 : 16	31 : 2⁴	Template:ErrorScript error: No such module "Category handler". Thirty-first harmonic,^[5] augmented seventhScript error: No such module "Unsubst".		31
1146.73	C↓	64 : 33	2⁶ : 3×11	Template:ErrorScript error: No such module "Category handler". 33rd subharmonic^[6]		11
1150.00	Bhalf sharp/Chalf flat	2^23/24	2^23/24	Template:ErrorScript error: No such module "Category handler". 23 steps in 24 equal temperament	24
1151.23	C7	35 : 18	5×7 : 2×3²	Template:ErrorScript error: No such module "Category handler". Septimal supermajor seventh, septimal quarter tone inverted		7
1158.94	B♯^[2]	125 : 64	5³ : 2⁶	Template:ErrorScript error: No such module "Category handler". Just augmented seventh,^[5] 125th harmonic		5
1172.74	C7+	63 : 32	3²×7 : 2⁵	Template:ErrorScript error: No such module "Category handler". Sixty-third harmonic^[5]		7
1175.00		2^47/48	2^47/48	Template:ErrorScript error: No such module "Category handler". 47 steps in 48 equal temperament	48
1178.49	C′−	160 : 81	2⁵×5 : 3⁴	Template:ErrorScript error: No such module "Category handler". Octave − syntonic comma,^[3] semi-diminished octaveScript error: No such module "Unsubst".		5
1179.59	B23↑	253 : 128	11×23 : 2⁷	Template:ErrorScript error: No such module "Category handler". Two-hundred-fifty-third harmonic^[5]		23
1186.42		127 : 64	127 : 2⁶	Template:ErrorScript error: No such module "Category handler". Hundred-twenty-seventh harmonic^[5]		127
1200.00	C′	2 : 1	2 : 1	Template:ErrorScript error: No such module "Category handler". Octave,^[3]^[11] perfect eighth or diapason^[4]	1, 12	3	M	S

Notes

Template:Notelist

References

↑ ^a ^b Fox, Christopher (2003). "Microtones and Microtonalities", Contemporary Music Review, v. 22, pt. 1–2. (Abingdon, Oxfordshire, UK: Routledge): p. 13.
↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj ^ak ^al ^am ^an ^ao ^ap ^aq ^ar ^as ^at ^au ^av ^aw ^ax ^ay ^az ^ba ^bb ^bc ^bd ^be ^bf ^bg ^bh ^bi Fonville, John. 1991. "Ben Johnston's Extended Just Intonation: A Guide for Interpreters". Perspectives of New Music 29, no. 2 (Summer): 106–137.
↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj ^ak ^al ^am ^an ^ao ^ap ^aq ^ar ^as ^at ^au ^av ^aw ^ax ^ay ^az ^ba ^bb ^bc ^bd ^be ^bf ^bg ^bh ^bi ^bj ^bk ^bl ^bm ^bn ^bo ^bp ^bq ^br ^bs ^bt ^bu ^bv ^bw ^bx ^by ^bz ^ca ^cb ^cc ^cd ^ce ^cf ^cg ^ch ^ci ^cj ^ck ^cl ^cm ^cn ^co ^cp ^cq ^cr ^cs ^ct ^cu ^cv ^cw ^cx ^cy ^cz ^da ^db ^dc ^dd ^de ^df ^dg ^dh ^di "List of intervals", Huygens-Fokker Foundation. The Foundation uses "classic" to indicate "just" or leaves off any adjective, as in "major sixth".
↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x Script error: No such module "citation/CS1".
↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj ^ak ^al ^am ^an ^ao ^ap ^aq ^ar ^as ^at ^au ^av ^aw ^ax ^ay ^az ^ba ^bb ^bc ^bd ^be ^bf ^bg ^bh ^bi ^bj ^bk ^bl ^bm ^bn ^bo ^bp ^bq ^br ^bs ^bt ^bu ^bv ^bw ^bx ^by ^bz ^ca ^cb ^cc ^cd ^ce ^cf ^cg ^ch ^ci ^cj ^ck ^cl ^cm ^cn ^co ^cp ^cq ^cr ^cs ^ct ^cu ^cv ^cw ^cx ^cy ^cz ^da ^db ^dc ^dd ^de ^df ^dg ^dh ^di ^dj ^dk ^dl ^dm ^dn ^do ^dp ^dq ^dr ^ds ^dt ^du ^dv ^dw ^dx ^dy ^dz "Anatomy of an Octave", Kyle Gann (1998). Gann leaves off "just" but includes "5-limit". He uses "median" for "neutral".
↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj ^ak ^al ^am ^an ^ao ^ap ^aq ^ar ^as ^at ^au ^av ^aw ^ax ^ay Haluška, Ján (2003). The Mathematical Theory of Tone Systems, pp. xxv–xxix. Template:ISBN.
↑ Script error: No such module "Citation/CS1".
↑ "Logarithmic Interval Measures", Huygens-Fokker Foundation. Accessed 2015-06-06.
↑ "Orwell Temperaments", Xenharmony.org.
↑ ^a ^b Script error: No such module "Footnotes".
↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab Alexander John Ellis (March 1885). On the musical scales of various nations, p. 488. Journal of the Society of Arts, vol. XXXII, no. 1688
↑ William Smythe Babcock Mathews (1895). Pronouncing Dictionary and Condensed Encyclopedia of Musical Terms, p. 13. Template:ISBN.
↑ ^a ^b ^c ^d ^e ^f Anger, Joseph Humfrey (1912). A Treatise on Harmony, with Exercises, Volume 3, pp. xiv–xv. W. Tyrrell.
↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o Hermann Ludwig F. von Helmholtz (Alexander John Ellis, trans.) (1875). "Additions by the translator", On the sensations of tone as a physiological basis for the theory of music, p. 644. Template:No ISBN
↑ Script error: No such module "citation/CS1".
↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y Paul, Oscar (1885). A Manual of Harmony for Use in Music-schools and Seminaries and for Self-instruction, p. 165. Theodore Baker, trans. G. Schirmer. Paul uses "natural" for "just".
↑ ^a ^b "13th-harmonic", 31et.com.
↑ Brabner, John H. F. (1884). The National Encyclopaedia, vol. 13, p. 182. London. Template:Pre-ISBN
↑ Sabat, Marc and von Schweinitz, Wolfgang (2004). "The Extended Helmholtz-Ellis JI Pitch Notation" [PDF], NewMusicBox. Accessed: 15 March 2014.
↑ Hermann L. F. von Helmholtz (2007). On the Sensations of Tone, p. 456. Template:ISBN.
↑ "Gallery of Just Intervals", Xenharmonic Wiki.

Script error: No such module "Check for unknown parameters".

External links

"Names of seven-limit commas", XenHarmony.org. (Archived copy)
"List of Overtones", Xenharmonic Wiki.
"All Known Musical Intervals" (by Dale Pond), Svpvril.com."

Script error: No such module "Navbox". Script error: No such module "Navbox". Script error: No such module "Navbox". Template:Music theory lists

[Fox13-1] Fox, Christopher (2003). "Microtones and Microtonalities", Contemporary Music Review, v. 22, pt. 1–2. (Abingdon, Oxfordshire, UK: Routledge): p. 13.

[Fonville-2] ↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj ^ak ^al ^am ^an ^ao ^ap ^aq ^ar ^as ^at ^au ^av ^aw ^ax ^ay ^az ^ba ^bb ^bc ^bd ^be ^bf ^bg ^bh ^bi Fonville, John. 1991. "Ben Johnston's Extended Just Intonation: A Guide for Interpreters". Perspectives of New Music 29, no. 2 (Summer): 106–137.

[HF-3] ↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj ^ak ^al ^am ^an ^ao ^ap ^aq ^ar ^as ^at ^au ^av ^aw ^ax ^ay ^az ^ba ^bb ^bc ^bd ^be ^bf ^bg ^bh ^bi ^bj ^bk ^bl ^bm ^bn ^bo ^bp ^bq ^br ^bs ^bt ^bu ^bv ^bw ^bx ^by ^bz ^ca ^cb ^cc ^cd ^ce ^cf ^cg ^ch ^ci ^cj ^ck ^cl ^cm ^cn ^co ^cp ^cq ^cr ^cs ^ct ^cu ^cv ^cw ^cx ^cy ^cz ^da ^db ^dc ^dd ^de ^df ^dg ^dh ^di "List of intervals", Huygens-Fokker Foundation. The Foundation uses "classic" to indicate "just" or leaves off any adjective, as in "major sixth".

[Partch-4] ↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x Script error: No such module "citation/CS1".

[Gann-5] ↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj ^ak ^al ^am ^an ^ao ^ap ^aq ^ar ^as ^at ^au ^av ^aw ^ax ^ay ^az ^ba ^bb ^bc ^bd ^be ^bf ^bg ^bh ^bi ^bj ^bk ^bl ^bm ^bn ^bo ^bp ^bq ^br ^bs ^bt ^bu ^bv ^bw ^bx ^by ^bz ^ca ^cb ^cc ^cd ^ce ^cf ^cg ^ch ^ci ^cj ^ck ^cl ^cm ^cn ^co ^cp ^cq ^cr ^cs ^ct ^cu ^cv ^cw ^cx ^cy ^cz ^da ^db ^dc ^dd ^de ^df ^dg ^dh ^di ^dj ^dk ^dl ^dm ^dn ^do ^dp ^dq ^dr ^ds ^dt ^du ^dv ^dw ^dx ^dy ^dz "Anatomy of an Octave", Kyle Gann (1998). Gann leaves off "just" but includes "5-limit". He uses "median" for "neutral".

[Haluska-6] ↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj ^ak ^al ^am ^an ^ao ^ap ^aq ^ar ^as ^at ^au ^av ^aw ^ax ^ay Haluška, Ján (2003). The Mathematical Theory of Tone Systems, pp. xxv–xxix. Template:ISBN.

[7] Script error: No such module "Citation/CS1".

[8] "Logarithmic Interval Measures", Huygens-Fokker Foundation. Accessed 2015-06-06.

[9] "Orwell Temperaments", Xenharmony.org.

[Partch_70-10] Script error: No such module "Footnotes".

[Ellis-11] ↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab Alexander John Ellis (March 1885). On the musical scales of various nations, p. 488. Journal of the Society of Arts, vol. XXXII, no. 1688

[12] William Smythe Babcock Mathews (1895). Pronouncing Dictionary and Condensed Encyclopedia of Musical Terms, p. 13. Template:ISBN.

[Anger-13] ↑ ^a ^b ^c ^d ^e ^f Anger, Joseph Humfrey (1912). A Treatise on Harmony, with Exercises, Volume 3, pp. xiv–xv. W. Tyrrell.

[Helmholtz-14] ↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o Hermann Ludwig F. von Helmholtz (Alexander John Ellis, trans.) (1875). "Additions by the translator", On the sensations of tone as a physiological basis for the theory of music, p. 644. Template:No ISBN

[Meuss-15] Script error: No such module "citation/CS1".

[Paul-16] ↑ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y Paul, Oscar (1885). A Manual of Harmony for Use in Music-schools and Seminaries and for Self-instruction, p. 165. Theodore Baker, trans. G. Schirmer. Paul uses "natural" for "just".

[31et.com-17] "13th-harmonic", 31et.com.

[18] Brabner, John H. F. (1884). The National Encyclopaedia, vol. 13, p. 182. London. Template:Pre-ISBN

[NMB-19] Sabat, Marc and von Schweinitz, Wolfgang (2004). "The Extended Helmholtz-Ellis JI Pitch Notation" [PDF], NewMusicBox. Accessed: 15 March 2014.

[20] Hermann L. F. von Helmholtz (2007). On the Sensations of Tone, p. 456. Template:ISBN.

[21] "Gallery of Just Intervals", Xenharmonic Wiki.

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List of pitch intervals

Contents

Terminology

List

See also

Notes

References

External links

Navigation menu

List of pitch intervals

Terminology

List

See also

Notes

References

External links

Navigation menu

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