Buzzard: Difference between revisions

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Buzzard is naturally a [[detemperament]] of the [[5edo|5 equal temperament]]. The diagram on the right shows a 58-tone detempered scale, with a generator range of -28 to +29. 58 is the largest number of tones for a mos where intervals in the 5 categories do not overlap. Each category is divided into eleven or twelve qualities separated by 5 generator steps, which represent the generic comma step.

Notice also the little interval between the largest of a category and the smallest of the next, which represents the differences between 16/15 and 15/14, between 16/13 and 26/21, between 7/5 and 45/32, between 21/13 and 13/8, and between 28/15 and 15/8. It spans 53 generator steps, so it vanishes in 53edo, but is tuned to the same size as the comma step in 58edo. 111edo tunes it to one half the size of the comma step, which may be seen as a good compromise.

Since the intervals cluster around 5edo, a notation system based on 5 tones per octave may be preferred to the standard diatonic one; see [[Pentatonic Functional Just System]] for how such a system could work.

== Chords and harmony ==

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 Buzzard is naturally a [[detemperament]] of the [[5edo|5 equal temperament]]. The diagram on the right shows a 58-tone detempered scale, with a generator range of -28 to +29. 58 is the largest number of tones for a mos where intervals in the 5 categories do not overlap. Each category is divided into eleven or twelve qualities separated by 5 generator steps, which represent the generic comma step.
 Notice also the little interval between the largest of a category and the smallest of the next, which represents the differences between 16/15 and 15/14, between 16/13 and 26/21, between 7/5 and 45/32, between 21/13 and 13/8, and between 28/15 and 15/8. It spans 53 generator steps, so it vanishes in 53edo, but is tuned to the same size as the comma step in 58edo. 111edo tunes it to one half the size of the comma step, which may be seen as a good compromise.
+Since the intervals cluster around 5edo, a notation system based on 5 tones per octave may be preferred to the standard diatonic one; see [[Pentatonic Functional Just System]] for how such a system could work.
 == Chords and harmony ==