Diminished (temperament): Difference between revisions
From Xenharmonic Reference
Created page with "'''Diminished''', 12 & 16, is a 5-limit temperament tempering out 648/625, the difference between four 6/5 minor thirds and the octave. Diminished has period 1\4 and generator 3/2 (or 25/24); it is associated with tetrawood (4L 4s), called the diminished scale in conventional music theory. Many tuning optimization algorithms rate diminished as optimal near 12edo, but if you want a better 5/4, you have to flatten the fifth (as in 28edo or 40edo)." |
mNo edit summary |
||
| Line 2: | Line 2: | ||
Many tuning optimization algorithms rate diminished as optimal near 12edo, but if you want a better 5/4, you have to flatten the fifth (as in [[28edo]] or [[40edo]]). | Many tuning optimization algorithms rate diminished as optimal near 12edo, but if you want a better 5/4, you have to flatten the fifth (as in [[28edo]] or [[40edo]]). | ||
{{Navbox regtemp}} | |||
{{Cat|Temperaments}} | |||
Revision as of 00:57, 9 April 2026
Diminished, 12 & 16, is a 5-limit temperament tempering out 648/625, the difference between four 6/5 minor thirds and the octave. Diminished has period 1\4 and generator 3/2 (or 25/24); it is associated with tetrawood (4L 4s), called the diminished scale in conventional music theory.
Many tuning optimization algorithms rate diminished as optimal near 12edo, but if you want a better 5/4, you have to flatten the fifth (as in 28edo or 40edo).
