Orgone - Revision history

Vector at 02:12, 2 June 2026

2026-06-02T02:12:13Z

← Older revision		Revision as of 02:12, 2 June 2026
Line 10:		Line 10:
	}}		}}
	'''Orgone''', 11 & 15, is a highly efficient temperament of the [[2.7.11 subgroup]], tempering out [[65536/65219]], such that three intervals of [[11/8]] reach the same point as two intervals of [[8/7]]; the generator is therefore (11/8)/(8/7) = [[77/64]], two of which stack to 16/11 and three of which stack to 7/4.		'''Orgone''', 11 & 15, is a highly efficient temperament of the [[2.7.11 subgroup]], tempering out [[65536/65219]], such that three intervals of [[11/8]] reach the same point as two intervals of [[8/7]]; the generator is therefore (11/8)/(8/7) = [[77/64]], two of which stack to 16/11 and three of which stack to 7/4.
			[[File:Orgone7.png\|thumb\|Orgone heptatonic MOS]]
	[[26edo]] is a good tuning of Orgone; [[41edo]] is on the flatter end of the generator spectrum and [[37edo]] is on the sharper end.		[[26edo]] is a good tuning of Orgone; [[41edo]] is on the flatter end of the generator spectrum and [[37edo]] is on the sharper end.

Inthar: /* Extensions */

2026-04-13T04:09:10Z

Extensions

← Older revision		Revision as of 04:09, 13 April 2026
Line 14:		Line 14:

	== Extensions ==		== Extensions ==
	'''Superkleismic''' is the primary extension of Orgone to the full 11-limit. The generator is interpreted as 6/5, which stacks twice to make 16/11 and three times to make 7/4 ([[keemic]] tempering, which is also supported by porcupine and flattone); the 7/4 itself stacks three times (octave-reduced) to reach 4/3 ([[slendric]] tempering). Superkleismic is an important temperament in 15edo and ~~26edo~~. It may also be valuable to consider the 2.(5/3).7.11 version, which is supported by 11edo (and thus 22edo).		'''Superkleismic''' is the primary extension of Orgone to the full 11-limit. The generator is interpreted as 6/5, which stacks twice to make 16/11 and three times to make 7/4 ([[keemic]] tempering, which is also supported by porcupine and flattone); the 7/4 itself stacks three times (octave-reduced) to reach 4/3 ([[slendric]] tempering). Superkleismic is an important temperament in 15edo, 26edo, and 41edo. It may also be valuable to consider the 2.(5/3).7.11 version, which is supported by 11edo (and thus 22edo).

	== Interval chain ==		== Interval chain ==

Vector at 01:05, 29 March 2026

2026-03-29T01:05:57Z

← Older revision		Revision as of 01:05, 29 March 2026
Line 12:		Line 12:

	[[26edo]] is a good tuning of Orgone; [[41edo]] is on the flatter end of the generator spectrum and [[37edo]] is on the sharper end.		[[26edo]] is a good tuning of Orgone; [[41edo]] is on the flatter end of the generator spectrum and [[37edo]] is on the sharper end.

			== Extensions ==
			'''Superkleismic''' is the primary extension of Orgone to the full 11-limit. The generator is interpreted as 6/5, which stacks twice to make 16/11 and three times to make 7/4 ([[keemic]] tempering, which is also supported by porcupine and flattone); the 7/4 itself stacks three times (octave-reduced) to reach 4/3 ([[slendric]] tempering). Superkleismic is an important temperament in 15edo and 26edo. It may also be valuable to consider the 2.(5/3).7.11 version, which is supported by 11edo (and thus 22edo).

	== Interval chain ==		== Interval chain ==
Line 18:		Line 21:
	\|-		\|-
	! #		! #
	! Cents*		! Cents
	! Approximate ratios		! Approximate ratios
			!Superkleismic (2.3.5.7.11)
	\|-		\|-
	\| 0		\| 0
	\| 0.0		\| 0
	\| '''1/1'''		\| '''1/1'''
			\|
	\|-		\|-
	\| 1		\| 1
	\| ~~323.3~~		\| 322
	\| 77/64		\| 77/64
			\|6/5
	\|-		\|-
	\| 2		\| 2
	\| ~~646.7~~		\| 644
	\| '''16/11'''		\| '''16/11'''
			\|
	\|-		\|-
	\| 3		\| 3
	\| ~~970.0~~		\| 966
	\| '''7/4'''		\| '''7/4'''
			\|
	\|-		\|-
	\| 4		\| 4
	\| ~~93.4~~		\| 88
	\| 128/121		\| 128/121
			\|21/20, 22/21
	\|-		\|-
	\| 5		\| 5
	\| ~~416.7~~		\| 410
	\| 14/11		\| 14/11
			\|
	\|-		\|-
	\| 6		\| 6
	\| ~~740.1~~		\| 732
	\| 49/32		\| 49/32
			\|32/21
	\|-		\|-
	\| 7		\| 7
	\| ~~1063.4~~		\| 1054
	\| 224/121		\| 224/121
			\|11/6
			\|-
			\|8
			\|176
			\|...
			\|10/9
			\|-
			\|9
			\|498
			\|
			\|4/3
			\|-
			\|10
			\|820
			\|
			\|8/5
			\|-
			\|11
			\|1142
			\|
			\|48/25, 36/35, 33/32
			\|-
			\|12
			\|264
			\|
			\|7/6
			\|-
			\|13
			\|586
			\|
			\|7/5
	\|}		\|}
	~~<nowiki>*</nowiki> in 2.7.11-subgroup [[CWE]] tuning, octave reduced~~

	~~== Extensions ==~~
	'''Superkleismic''' is the primary extension of Orgone to the full 11-limit. The generator is interpreted as 6/5, which stacks twice to make 16/11 and three times to make 7/4 ([[keemic]] tempering, which is also supported by porcupine and flattone); the 7/4 itself stacks three times (octave-reduced) to reach 4/3 ([[slendric]] tempering). Superkleismic is an important temperament in 15edo and 26edo. It may also be valuable to consider the 2.(5/3).7.11 version, which is supported by 11edo (and thus 22edo).

	== List of patent vals ==		== List of patent vals ==

Vector at 06:12, 28 March 2026

2026-03-28T06:12:47Z

← Older revision		Revision as of 06:12, 28 March 2026
Line 56:		Line 56:

	== Extensions ==		== Extensions ==
	'''Superkleismic''' is the primary extension of Orgone to the full 11-limit. The generator is interpreted as 6/5, which stacks twice to make 16/11 and three times to make 7/4 ([[keemic]] tempering, which is also supported by porcupine and flattone); the 7/4 itself stacks three times (octave-reduced) to reach 4/3 ([[slendric]] tempering). Superkleismic is an important temperament in 15edo and 26edo.		'''Superkleismic''' is the primary extension of Orgone to the full 11-limit. The generator is interpreted as 6/5, which stacks twice to make 16/11 and three times to make 7/4 ([[keemic]] tempering, which is also supported by porcupine and flattone); the 7/4 itself stacks three times (octave-reduced) to reach 4/3 ([[slendric]] tempering). Superkleismic is an important temperament in 15edo and 26edo. It may also be valuable to consider the 2.(5/3).7.11 version, which is supported by 11edo (and thus 22edo).

	== List of patent vals ==		== List of patent vals ==

Vector at 06:11, 28 March 2026

2026-03-28T06:11:10Z

← Older revision		Revision as of 06:11, 28 March 2026
Line 53:		Line 53:
	\| 224/121		\| 224/121
	\|}		\|}
	<nowiki/>* in 2.7.11-subgroup [[CWE]] tuning, octave reduced		<nowiki>*</nowiki> in 2.7.11-subgroup [[CWE]] tuning, octave reduced

			== Extensions ==
			'''Superkleismic''' is the primary extension of Orgone to the full 11-limit. The generator is interpreted as 6/5, which stacks twice to make 16/11 and three times to make 7/4 ([[keemic]] tempering, which is also supported by porcupine and flattone); the 7/4 itself stacks three times (octave-reduced) to reach 4/3 ([[slendric]] tempering). Superkleismic is an important temperament in 15edo and 26edo.

	== List of patent vals ==		== List of patent vals ==

Inthar: /* List of patent vals */

2026-03-14T16:58:19Z

List of patent vals

@@ Line 56: / Line 56: @@
 == List of patent vals ==
-{| class="wikitable sortable"
+:''Main article: [[Orgone/Patent vals]]''
 {{navbox regtemp}}
 {{cat|temperaments}}

Inthar: /* Interval chain */

2026-03-14T15:00:13Z

Interval chain

@@ Line 54: / Line 54: @@
 |}
 <nowiki/>* in 2.7.11-subgroup [[CWE]] tuning, octave reduced
 {{navbox regtemp}}
 {{cat|temperaments}}

Inthar at 11:22, 9 March 2026

2026-03-09T11:22:13Z

← Older revision		Revision as of 11:22, 9 March 2026
Line 9:		Line 9:
	\| MOS scales = [[4L 3s]], [[4L 7s]], [[11L 4s]]		\| MOS scales = [[4L 3s]], [[4L 7s]], [[11L 4s]]
	}}		}}
	'''Orgone''', 11 & 15, is a highly efficient temperament of the [[2.7.11 subgroup]], tempering out [[65536/65219]], such that three intervals of [[11/8]] reach the same point as two intervals of [[8/7]]; the generator is therefore (11/8)/(8/7) = [[77/64]], two of which stack to 11/6 and three of which stack to 7/4.		'''Orgone''', 11 & 15, is a highly efficient temperament of the [[2.7.11 subgroup]], tempering out [[65536/65219]], such that three intervals of [[11/8]] reach the same point as two intervals of [[8/7]]; the generator is therefore (11/8)/(8/7) = [[77/64]], two of which stack to 16/11 and three of which stack to 7/4.

	[[26edo]] is a good tuning of Orgone; [[41edo]] is on the flatter end of the generator spectrum and [[37edo]] is on the sharper end.		[[26edo]] is a good tuning of Orgone; [[41edo]] is on the flatter end of the generator spectrum and [[37edo]] is on the sharper end.

Inthar at 03:22, 9 March 2026

2026-03-09T03:22:24Z

← Older revision		Revision as of 03:22, 9 March 2026
Line 10:		Line 10:
	}}		}}
	'''Orgone''', 11 & 15, is a highly efficient temperament of the [[2.7.11 subgroup]], tempering out [[65536/65219]], such that three intervals of [[11/8]] reach the same point as two intervals of [[8/7]]; the generator is therefore (11/8)/(8/7) = [[77/64]], two of which stack to 11/6 and three of which stack to 7/4.		'''Orgone''', 11 & 15, is a highly efficient temperament of the [[2.7.11 subgroup]], tempering out [[65536/65219]], such that three intervals of [[11/8]] reach the same point as two intervals of [[8/7]]; the generator is therefore (11/8)/(8/7) = [[77/64]], two of which stack to 11/6 and three of which stack to 7/4.

			[[26edo]] is a good tuning of Orgone; [[41edo]] is on the flatter end of the generator spectrum and [[37edo]] is on the sharper end.

	== Interval chain ==		== Interval chain ==

Inthar at 03:19, 9 March 2026

2026-03-09T03:19:57Z

← Older revision		Revision as of 03:19, 9 March 2026
Line 9:		Line 9:
	\| MOS scales = [[4L 3s]], [[4L 7s]], [[11L 4s]]		\| MOS scales = [[4L 3s]], [[4L 7s]], [[11L 4s]]
	}}		}}
	'''Orgone''' is a highly efficient temperament of the [[2.7.11 subgroup]], tempering out [[65536/65219]], such that three intervals of [[11/8]] reach the same point as two intervals of [[8/7]]; the generator is therefore (11/8)/(8/7) = [[77/64]], two of which stack to 11/6 and three of which stack to 7/4.		'''Orgone''', 11 & 15, is a highly efficient temperament of the [[2.7.11 subgroup]], tempering out [[65536/65219]], such that three intervals of [[11/8]] reach the same point as two intervals of [[8/7]]; the generator is therefore (11/8)/(8/7) = [[77/64]], two of which stack to 11/6 and three of which stack to 7/4.

	== Interval chain ==		== Interval chain ==