Diaschisma: Difference between revisions
+wikipedia box; integrate the links to diaschismic temperaments to the temperaments section |
m Reason for the name. |
||
| Line 7: | Line 7: | ||
{{Wikipedia| Diaschisma }} | {{Wikipedia| Diaschisma }} | ||
'''2048/2025''', the '''diaschisma''', a [[comma]] of 19.553 [[cent]]s, is the difference between four [[3/2|just perfect fifths]] plus two [[5/4|just major thirds]] and three octaves | '''2048/2025''', the '''diaschisma''', a [[comma]] of 19.553 [[cent]]s, is the size of a [[pythagorean comma]] minus two [[schisma|schismas]], from which it derives its name. It may also be defined as the difference between four [[3/2|just perfect fifths]] plus two [[5/4|just major thirds]] and three octaves, 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 octave complement [[64/45]]. | ||
== Temperaments == | == Temperaments == | ||