Freivaldthree: Difference between revisions
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'''Trithagorean''' or '''freivaldthree''' is a [[just intonation]], [[tritave]]-repeating [[nonoctave]] scale invented by [[Jake Freivald]] in 2011. It has 13 unequal tones per tritave. | |||
== Freivald's description == | |||
"This was an experiment with something I jokingly call "trithagorean" -- a 3/1-repeating scale based on repeated stackings of perfect 5/3s and 9/5s. That can give you an MOS at 13 or 15 notes, but I only used about 10 of them. There are no octaves anywhere in this scale. | |||
In [[cents]], that's this: | |||
0.000 unison, perfect prime | |||
133.238 large limma, BP small semitone | |||
266.475 two (large limma, BP small semitone) | |||
399.713 | |||
617.884 | |||
751.121 | |||
884.359 major sixth, BP sixth | |||
1017.596 just minor seventh, BP seventh | |||
1150.834 octave - maximal diesis | |||
1284.071 | |||
1502.242 | |||
1635.480 | |||
1768.717 classic augmented eleventh, BP twelfth | |||
1901.955 perfect 12th" | |||
== Scala file == | |||
<pre> | <pre> | ||
! freivaldthree.scl | ! freivaldthree.scl | ||