12ed12/5 - Revision history

CompactStar at 02:40, 23 May 2023

2023-05-23T02:40:46Z

← Older revision		Revision as of 02:40, 23 May 2023
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	\|126.303		\|126.303
	\|C#, Db		\|C#, Db
	\|		\|[[27/25]]
	\|-		\|-
	\|2		\|2
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	\|1398.338		\|1398.338
	\|B		\|B
	\|[[20/9]]		\|20/9
	\|-		\|-
	\|12		\|12

CompactStar at 02:40, 23 May 2023

2023-05-23T02:40:32Z

← Older revision		Revision as of 02:40, 23 May 2023
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	\|757.821		\|757.821
	\|F#, Gb		\|F#, Gb
	\|[[125/81]]		\|[[25/16]], 125/81, [[192/125]]
	\|-		\|-
	\|7		\|7
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	\|1263.034		\|1263.034
	\|A#, Bb		\|A#, Bb
	\|		\|25/12
	\|-		\|-
	\|11		\|11

CompactStar at 02:38, 23 May 2023

2023-05-23T02:38:09Z

← Older revision		Revision as of 02:38, 23 May 2023
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	\|757.821		\|757.821
	\|F#, Gb		\|F#, Gb
	\|		\|[[125/81]]
	\|-		\|-
	\|7		\|7

CompactStar at 02:37, 23 May 2023

2023-05-23T02:37:37Z

← Older revision		Revision as of 02:37, 23 May 2023
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	\|252.607		\|252.607
	\|D		\|D
	\|		\|125/108
	\|-		\|-
	\|3		\|3
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	\|1398.338		\|1398.338
	\|B		\|B
	\|		\|[[20/9]]
	\|-		\|-
	\|12		\|12

CompactStar at 02:32, 23 May 2023

2023-05-23T02:32:43Z

← Older revision		Revision as of 02:32, 23 May 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5\|classic minor tenth (12/5)]] into a number of [[equal]] steps. It is very closely approximated by every second step of 19edo.		'''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5\|classic minor tenth (12/5)]] into a number of [[equal]] steps. It is very closely approximated by every second step of [[19edo]].
	== Temperaments ==		== Temperaments ==
	12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.		12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.

CompactStar at 02:32, 23 May 2023

2023-05-23T02:32:37Z

← Older revision		Revision as of 02:32, 23 May 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5\|classic minor tenth (12/5)]] into a number of [[equal]] steps. It is closely approximated by every second step of 19edo.		'''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5\|classic minor tenth (12/5)]] into a number of [[equal]] steps. It is very closely approximated by every second step of 19edo.
	== Temperaments ==		== Temperaments ==
	12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.		12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.

CompactStar at 02:32, 23 May 2023

2023-05-23T02:32:16Z

← Older revision		Revision as of 02:32, 23 May 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	'''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5\|classic minor tenth (12/5)]] into a number of [[equal]] steps.		'''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5\|classic minor tenth (12/5)]] into a number of [[equal]] steps. It is closely approximated by every second step of 19edo.
	== Temperaments ==		== Temperaments ==
	12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.		12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.

CompactStar at 02:26, 23 May 2023

2023-05-23T02:26:37Z

← Older revision		Revision as of 02:26, 23 May 2023
Line 9:		Line 9:
	!Cents		!Cents
	!"Macrodiatonic" (5L 2s<12/5>) notation		!"Macrodiatonic" (5L 2s<12/5>) notation
			!Approximate ratios
	\|-		\|-
	\|0		\|0
	\|0.00		\|0.00
	\|C		\|C
			\|[[1/1]]
	\|-		\|-
	\|1		\|1
	\|126.303		\|126.303
	\|C#, Db		\|C#, Db
			\|
	\|-		\|-
	\|2		\|2
	\|252.607		\|252.607
	\|D		\|D
			\|
	\|-		\|-
	\|3		\|3
	\|378.910		\|378.910
	\|D#, Eb		\|D#, Eb
			\|[[5/4]]
	\|-		\|-
	\|4		\|4
	\|505.214		\|505.214
	\|E		\|E
			\|[[4/3]]
	\|-		\|-
	\|5		\|5
	\|631.517		\|631.517
	\|F		\|F
			\|[[36/25]]
	\|-		\|-
	\|6		\|6
	\|757.821		\|757.821
	\|F#, Gb		\|F#, Gb
			\|
	\|-		\|-
	\|7		\|7
	\|884.124		\|884.124
	\|G		\|G
			\|[[5/3]]
	\|-		\|-
	\|8		\|8
	\|1010.428		\|1010.428
	\|G#, Ab		\|G#, Ab
			\|[[9/5]]
	\|-		\|-
	\|9		\|9
	\|1136.731		\|1136.731
	\|A		\|A
			\|[[48/25]]
	\|-		\|-
	\|10		\|10
	\|1263.034		\|1263.034
	\|A#, Bb		\|A#, Bb
			\|
	\|-		\|-
	\|11		\|11
	\|1398.338		\|1398.338
	\|B		\|B
			\|
	\|-		\|-
	\|12		\|12
	\|1515.641		\|1515.641
	\|C		\|C
			\|[[12/5]]
	\|}		\|}

CompactStar at 02:25, 23 May 2023

2023-05-23T02:25:15Z

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
 '''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5|classic minor tenth (12/5)]] into a number of [[equal]] steps.
 == Temperaments ==
 ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.

CompactStar at 02:01, 23 May 2023

2023-05-23T02:01:34Z

← Older revision		Revision as of 02:01, 23 May 2023
Line 2:		Line 2:
	'''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5\|classic minor tenth (12/5)]] into a number of [[equal]] steps.		'''12 equal divisions of 12/5''' (12ed12/5) is the tuning system that divides the [[12/5\|classic minor tenth (12/5)]] into a number of [[equal]] steps.
	== Temperaments ==		== Temperaments ==
	12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of ~~the~~ meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.		12ed12/5 supports the "macro-meantone" temperament which tempers out 15625/15552 in the 12/5.3.4 subgroup. By a weird coincidence, this temperament is very close to a version of meantone with all intervals stretched by about 26%, such that 2/1 becomes approximately 12/5, 3/2 becomes approximately 5/3, and 5/4 becomes approximately 4/3. The ~4:5:6 chord becomes stretched to the point where it is a ~3:4:5 chord. Even MOS patterns are similar to meantone.