Diminished (temperament) - Revision history

Inthar at 14:17, 14 April 2026

2026-04-14T14:17:56Z

@@ Line 3: / Line 3: @@
 Many tuning optimization algorithms rate diminished as optimal near 12edo. However, you might want a better 5/4, and if you do, you have to flatten the 3/2 generator (as in [[28edo]] or [[40edo]]).
 {{Navbox regtemp}}
 {{Cat|Temperaments}}

Inthar at 01:01, 9 April 2026

2026-04-09T01:01:28Z

← Older revision		Revision as of 01:01, 9 April 2026
Line 1:		Line 1:
	'''Diminished''', [[12edo\|12]] & [[16edo\|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.		'''Diminished''', [[12edo\|12]] & [[16edo\|16]], is a 5-limit temperament with period 1\4 (representing 6/5) and generator 3/2 (or 25/24); it is associated with tetrawood (4L 4s), called the diminished scale in conventional music theory. It tempers out 648/625, the difference between four 6/5 minor thirds and the octave.

	Many tuning optimization algorithms rate diminished as optimal near 12edo. However, you might want a better 5/4, and if you do, you have to flatten the 3/2 generator (as in [[28edo]] or [[40edo]]).		Many tuning optimization algorithms rate diminished as optimal near 12edo. However, you might want a better 5/4, and if you do, you have to flatten the 3/2 generator (as in [[28edo]] or [[40edo]]).

Inthar at 00:58, 9 April 2026

2026-04-09T00:58:53Z

← Older revision		Revision as of 00:58, 9 April 2026
Line 1:		Line 1:
	'''Diminished''', [[12edo\|12]] & [[16edo\|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.		'''Diminished''', [[12edo\|12]] & [[16edo\|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 3/2 generator (as in [[28edo]] or [[40edo]]).		Many tuning optimization algorithms rate diminished as optimal near 12edo. However, you might want a better 5/4, and if you do, you have to flatten the 3/2 generator (as in [[28edo]] or [[40edo]]).

	{{Navbox regtemp}}		{{Navbox regtemp}}
	{{Cat\|Temperaments}}		{{Cat\|Temperaments}}

Inthar at 00:58, 9 April 2026

2026-04-09T00:58:15Z

← Older revision		Revision as of 00:58, 9 April 2026
Line 1:		Line 1:
	'''Diminished''', [[12edo\|12]] & [[16edo\|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.		'''Diminished''', [[12edo\|12]] & [[16edo\|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]]).		Many tuning optimization algorithms rate diminished as optimal near 12edo, but if you want a better 5/4, you have to flatten the 3/2 generator (as in [[28edo]] or [[40edo]]).

	{{Navbox regtemp}}		{{Navbox regtemp}}
	{{Cat\|Temperaments}}		{{Cat\|Temperaments}}

Inthar at 00:57, 9 April 2026

2026-04-09T00:57:35Z

← Older revision		Revision as of 00:57, 9 April 2026
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}}

Inthar: 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)."

2026-04-09T00:57:13Z

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)."

New page

'''Diminished''', [[12edo|12]] & [[16edo|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]]).