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...atical Theory of Tone Systems'', p.xxvi. {{ISBN|978-0-8247-4714-5}}.</ref> and the ''starling comma'' after its use in [[starling temperament]]. Or as simple just intervals: <math>(6/5)^3*(7/6)*(2/1)^{-1}</math> ...

...p> (9/7). That says that it is the amount that two [[major third]]s of 5/4 and a [[septimal major third]], or supermajor third, of 9/7 exceeds the octave. ...also be viewed as the difference between the [[diatonic semitone]] (16:15) and the [[septimal diatonic semitone]] (15:14). ...

...t") can refer to several different [[interval (music)|musical intervals]], and one form of breath-mark to indicate spacing within lyrics; their only commo More specifically, in Pythagorean tuning (i.e. 3-limit): ...

...onds ({{audio|Just augmented second on C.mid|Play just augmented second}}) and one 8:5 just minor sixth ({{audio|Just minor sixth on C.mid|Play minor sixt {{Intervals|state=expanded}} ...

...url = http://www.huygens-fokker.org/docs/intervals.html | title = List of intervals | access-date = 2006-07-29 | author = Manuel Op de Coul | work = [[Huygens- ...mposers who made extensive use of these intervals include [[Harry Partch]] and [[Ben Johnston (composer)|Ben Johnston]]. Johnston uses a "7" as an acciden ...

...4262-0}}. Specific example of an d2 not given but general example of minor intervals described.</ref> In twelve-tone equal temperament, it is [[enharmonic]]ally ...nic semitone, the interval from B to B{{Music|#}} is a chromatic semitone, and their difference, the interval from B{{Music|#}} to C is a diminished secon ...

...aments" are regular temperaments of rank two, with one generator as shown, and the other generator the octave. (Milne 2007).]] ...temperament''' is any [[Musical temperament|tempered]] system of [[musical tuning]] such that each frequency ratio is obtainable as a product of powers of a ...

...ory of Tone Systems'', p.xxviii. {{ISBN|0-8247-4714-3}}. Diaschisma.</ref> and is about 19.5 [[cent (music)|cents]]. The use of the name diaschisma for th ....</ref> Medieval theorists [[Anicius Manlius Severinus Boethius|Boethius]] and [[Tinctoris]] described the diaschisma as one-half of the [[Pythagorean min ...

...of staff positions, but consist of a different number of semitones (seven and ten respectively). ...in first [[Inversion (music)|inversion]] major and dominant seventh chords and second inversion minor chords. It is equal to eight [[semitone]]s, i.e. a r ...

...31 equal temperament]] being a more or less optimal tuning for both the 5- and [[7-limit]]s. ...r thirds), quarter tone modified for exact {{sup|Aug }}6 = {{sub|harm }}7, and [[31 tone equal temperament]]. ...

..., and frequencies.svg|thumb|400px|The first 16 harmonics, with frequencies and log frequencies (not drawn to scale).]] ==The harmonic series and the evolution of music== ...

...Ditonum", in ''The Cyclopædia, or Universal Dictionary of Arts, Sciences, and Literature. In Thirty-Nine Volumes'', vol. 12 (London: Longman, Hurst, Rees ==Pythagorean tuning== ...

...ith ratio 4/3 (equivalent to 2²/ 3¹) are Pythagorean intervals. ...uning systems. For instance, the above-mentioned Pythagorean perfect fifth and fourth are also used in [[just intonation]]. ...

{{about|the musical interval|the guitar tuning|major thirds tuning}} | just_interval = [[5-limit tuning|5:4]], [[Pythagorean tuning|81:64]], [[Septimal major third|9:7]] ...

...instance, the interval from C to D is a major second, two semitones wide, and the interval from C to D{{Music|sharp}} is an augmented second, spanning th ...in the [[German sixth chord]] between the {{music|flat}}{{music|scale|3}} and {{music|sharp}}{{music|scale|4}} degrees. ...

{{Short description|Japanese tuning scale}} ...hs & Slonimsky.png|thumb|right|''Hirajoshi'' scale on C according to Sachs and Slonimsky. {{audio|Hirajoshi scale on C Sachs & Slonimsky.mid|Play}}]] ...

...ref> He was the discoverer of [[#Miracle temperament|miracle temperament]] and eponym of the [[#Secor|secor]]. ...cording to [[Easley Blackwood, Jr.|Easley Blackwood]], "It has rock-steady tuning capabilities; you can always count on it to be right."<ref name="Vail"/> G ...

{{short description|Guitar tuning}} {{Infobox Regular tuning ...

...]], showing just intonation values on the left and the corresponding equal tuning values on the right]] ...=https://archive.today/20120710051256/http://launch.groups.yahoo.com/group/tuning/message/5244 |url-status=dead |archive-date=July 10, 2012 |title=CS |author ...

...d]]This, "extremely large third", is also found between C and E{{music|ㄥ}} and may resemble a [[neutral third]] or [[blue note]].<ref>Fonville (1991), p. ...play}}). Both 24 and [[19 equal temperament]] map the septimal major third and the septimal narrow fourth (21:16) to the same interval. ...