8ed11/5 - Revision history

BudjarnLambeth at 21:11, 12 December 2024

2024-12-12T21:11:25Z

← Older revision		Revision as of 21:11, 12 December 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''8ed11/5''' is the [[ed11/5\|equal division of the neutral ninth]] into eight parts of 170.6 cents each. It is [[7edo]] with ~7 cent compressed octaves. This tuning tempers out the syntonic comma.		'''8ed11/5''' is the [[ed11/5\|equal division of the neutral ninth]] into eight parts of 170.6 cents each. It is [[7edo]] with ~7 cent [[Octave shrinking\|compressed octaves]]. This tuning tempers out the [[syntonic comma]].

	== Intervals ==		== Intervals ==

2024-12-11T14:28:40Z

← Older revision		Revision as of 14:28, 11 December 2024
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''8ed11/5''' is the [[ed11/5\|equal division of the neutral ninth]] into eight parts of 170.6 cents each. It is [[7edo]] with ~7 cent compressed octaves.		'''8ed11/5''' is the [[ed11/5\|equal division of the neutral ninth]] into eight parts of 170.6 cents each. It is [[7edo]] with ~7 cent compressed octaves. This tuning tempers out the syntonic comma.

	== Intervals ==		== Intervals ==

2024-01-14T10:56:51Z

Harmonics: Added comparison to 7edo

← Older revision		Revision as of 10:56, 14 January 2024
Line 47:		Line 47:

	== Harmonics ==		== Harmonics ==
	{{harmonics ~~in equal\|8\|11\|5}}~~		Compared to 7edo, 8ed11/5 offers worse approximations of 2, 3, 5, 11 and 29. But it offers better approximations of 7, 13, 17, 19, 23, 31 and 37. Its performance on those higher harmonics lends it a less dissonant sound than one might expect from its poor approximations of simple ratios.

	~~Compare with [[7edo]]~~:		Most of its errors are also in the same direction: it tunes the 2nd, 3rd, 5th and 11th harmonics all flat. So this may further contribute to making the error sound less nasty in practice than it looks on paper.
			{{Harmonics in equal
			\| steps = 8
			\| num = 11
			\| denom = 5
			\| start = 1
			\| columns = 12
			\| intervals = prime
			}}
	{{Harmonics in equal		{{Harmonics in equal
	\| steps = 7		\| steps = 7
Line 55:		Line 63:
	\| denom = 1		\| denom = 1
	\| start = 1		\| start = 1
	\| intervals = ~~integer~~		\| columns = 12
			\| intervals = prime
	}}		}}

2024-01-14T10:38:38Z

Harmonics

2024-01-14T10:29:42Z

Pseudo-Octave-repeating

2024-01-14T10:29:21Z

Added harmonics and scales sections

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
 '''8ed11/5''' is the [[ed11/5|equal division of the neutral ninth]] into eight parts of 170.6 cents each. It is [[7edo]] with ~7 cent compressed octaves.
 == Intervals ==
 {|class="wikitable"
@@ Line 44: / Line 45: @@
 |[[11/5]]
 |}
 [[Category:Nonoctave]]

2023-05-07T06:45:26Z

That category is covered by the infobox

2023-05-07T06:15:09Z

Moved from category equal-step tunings to ed11/5

2023-03-09T02:33:34Z

2023-03-09T02:33:24Z