Diaschisma: Difference between revisions
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{{Infobox Interval | |||
| JI glyph = | |||
| Ratio = 2048/2025 | |||
| Monzo = 11 -4 -2 | |||
| Cents = 19.55257 | |||
| Name = diaschisma | |||
| Color name = | |||
| FJS name = d2<sub>25</sub> | |||
| Sound = | |||
}} | |||
'''2048/2025''', the '''diaschisma''', an interval of 19.553 [[cent|cents]], is the difference between four perfect fifths plus two major thirds and three octaves. Tempering it out leads to [[Diaschismic_family|diaschismic temperament]]. It may also be defined as the difference between a Pythagorean minor seventh ([[16/9]]) and a just augmented sixth ([[225/128]]), as the difference between two classic diatonic semitones ([[16/15]]) and the major whole tone ([[9/8]]), that is, (9/8)/(16/15)<sup>2</sup>, or as the difference between the 5-limit tritone [[45/32]] and its enharmonic equivalent [[64/45]]. | '''2048/2025''', the '''diaschisma''', an interval of 19.553 [[cent|cents]], is the difference between four perfect fifths plus two major thirds and three octaves. Tempering it out leads to [[Diaschismic_family|diaschismic temperament]]. It may also be defined as the difference between a Pythagorean minor seventh ([[16/9]]) and a just augmented sixth ([[225/128]]), as the difference between two classic diatonic semitones ([[16/15]]) and the major whole tone ([[9/8]]), that is, (9/8)/(16/15)<sup>2</sup>, or as the difference between the 5-limit tritone [[45/32]] and its enharmonic equivalent [[64/45]]. | ||
== See also == | |||
* [[Comma]] | |||
[[Category:5-limit]] | [[Category:5-limit]] | ||
[[Category:Small comma]] | [[Category:Small comma]] | ||
[[Category:Diaschismic]] | [[Category:Diaschismic]] | ||