Cthon5m - Revision history

Inthar: /* Temperaments */

2025-03-05T21:44:50Z

Temperaments

← Older revision		Revision as of 21:44, 5 March 2025
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	* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.		* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.
	==== Kleismic ====		==== Kleismic ====
	Kleismic tempering corresponds to using Island tempering and then letting L = 2m. This makes Kleismic-tempered cthon5m a subset of a permutation (mmmmmsmmmsmmmmsmmms) of the Kleismic[19] MOS.		Kleismic (properly [[Cata]]) tempering corresponds to using Island tempering and then letting L = 2m. This makes Kleismic-tempered cthon5m a subset of a permutation (mmmmmsmmmsmmmmsmmms) of the Kleismic[19] MOS.

	== External links ==		== External links ==

Inthar: /* 2.3.5.13 Island (2.3.5.13[34&53&58]) */

2025-03-04T15:38:51Z

2.3.5.13 Island (2.3.5.13[34&53&58])

← Older revision		Revision as of 15:38, 4 March 2025
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	2/1		2/1

	Here L = ~13/12, m = ~26/25~27/26, and s = 40/39.		Here L = ~13/12, m = ~26/25~27/26, and s = ~40/39.

	(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation.)		(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation.)

Inthar: /* Kleismic */

2025-03-04T15:35:51Z

Kleismic

← Older revision		Revision as of 15:35, 4 March 2025
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	* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.		* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.
	==== Kleismic ====		==== Kleismic ====
	Kleismic tempering corresponds to using Island tempering and then letting L = 2m. This makes Kleismic-tempered cthon5m a subset of a 19~~-note binary non-~~MOS ~~scale mmmmmsmmmsmmmmsmmms~~.		Kleismic tempering corresponds to using Island tempering and then letting L = 2m. This makes Kleismic-tempered cthon5m a subset of a permutation (mmmmmsmmmsmmmmsmmms) of the Kleismic[19] MOS.

	== External links ==		== External links ==

Inthar: /* Kleismic */

2025-03-04T15:34:19Z

Kleismic

← Older revision		Revision as of 15:34, 4 March 2025
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	* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.		* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.
	==== Kleismic ====		==== Kleismic ====
	Kleismic tempering corresponds to letting L = 2m. This makes cthon5m a subset of a 19-note binary non-MOS scale mmmmmsmmmsmmmmsmmms.		Kleismic tempering corresponds to using Island tempering and then letting L = 2m. This makes Kleismic-tempered cthon5m a subset of a 19-note binary non-MOS scale mmmmmsmmmsmmmmsmmms.

	== External links ==		== External links ==

Inthar: /* Temperaments */

2025-03-04T15:33:17Z

Temperaments

← Older revision		Revision as of 15:33, 4 March 2025
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	* Kleismic[15] has 9 3/2's whereas cthon5m has 10 3/2's.		* Kleismic[15] has 9 3/2's whereas cthon5m has 10 3/2's.
	* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.		* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.
			==== Kleismic ====
	Kleismic ~~temperring~~ corresponds to letting L = 2m. This makes cthon5m a subset of a 19-note binary non-MOS scale mmmmmsmmmsmmmmsmmms.		Kleismic tempering corresponds to letting L = 2m. This makes cthon5m a subset of a 19-note binary non-MOS scale mmmmmsmmmsmmmmsmmms.

	== External links ==		== External links ==

Inthar: /* 2.3.5.13 Island (2.3.5.13[34&53&58]) */

2025-03-04T15:31:22Z

2.3.5.13 Island (2.3.5.13[34&53&58])

← Older revision		Revision as of 15:31, 4 March 2025
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	Here L = ~13/12, m = ~26/25~27/26, and s = 40/39.		Here L = ~13/12, m = ~26/25~27/26, and s = 40/39.

	(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation~~. Kleismic tempering corresponds to letting L = 2m~~.)		(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation.)

	As a 2.3.5.13 subgroup scale, cthon5m is comparable to the MOS Kleismic[15] in size, but it's "fifthier" than Kleismic[15] and has one fewer note:		As a 2.3.5.13 subgroup scale, cthon5m is comparable to the MOS Kleismic[15] in size, but it's "fifthier" than Kleismic[15] and has one fewer note:
	* Kleismic[15] has 9 3/2's whereas cthon5m has 10 3/2's.		* Kleismic[15] has 9 3/2's whereas cthon5m has 10 3/2's.
	* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.		* 3/2 chains in Kleismic[15] only have at most 3 notes whereas cthon5m interpreted in Kleismic has 3/2 chains with 3 and 4 notes.

			Kleismic temperring corresponds to letting L = 2m. This makes cthon5m a subset of a 19-note binary non-MOS scale mmmmmsmmmsmmmmsmmms.

	== External links ==		== External links ==

Inthar: /* 2.3.5.13 Island (2.3.5.13[34&53&58]) */

2025-03-04T15:28:18Z

2.3.5.13 Island (2.3.5.13[34&53&58])

← Older revision		Revision as of 15:28, 4 March 2025
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	Here L = ~13/12, m = ~26/25~27/26, and s = 40/39.		Here L = ~13/12, m = ~26/25~27/26, and s = 40/39.

	(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation.)		(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation. Kleismic tempering corresponds to letting L = 2m.)

	As a 2.3.5.13 subgroup scale, cthon5m is comparable to the MOS Kleismic[15] in size, but it's "fifthier" than Kleismic[15] and has one fewer note:		As a 2.3.5.13 subgroup scale, cthon5m is comparable to the MOS Kleismic[15] in size, but it's "fifthier" than Kleismic[15] and has one fewer note:

Inthar at 15:03, 4 January 2025

2025-01-04T15:03:37Z

← Older revision		Revision as of 15:03, 4 January 2025
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	'''Cthon5m''' (in [[aberrismic theory\|aberrismic]] systematic naming) is the [[~~diregular scale\|diregular~~]] 5L5m4s scale pattern '''LmLsmLsmLmsLms''', so named because it is generated by a generator of the [[semiquartal]] MOS and the m step is the offset in its generator-offset structure.		'''Cthon5m''' (in [[aberrismic theory\|aberrismic]] systematic naming) is the [[even-regular]] 5L5m4s scale pattern '''LmLsmLsmLmsLms''', so named because it is generated by a generator of the [[semiquartal]] MOS and the m step is the offset in its generator-offset structure.

	Cthon5m is comprised of two interleaved [[nicetone]]/Zarlino scales of opposite chirality. In the JI preimage below these are 5-limit Zarlino scales.		Cthon5m is comprised of two interleaved [[nicetone]]/Zarlino scales of opposite chirality. In the JI preimage below these are 5-limit Zarlino scales.

Inthar: /* 2.3.5.13 Island (2.3.5.13[34&53&58]) */

2024-12-24T21:08:56Z

2.3.5.13 Island (2.3.5.13[34&53&58])

← Older revision		Revision as of 21:08, 24 December 2024
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	39/20		39/20
	2/1		2/1

			Here L = ~13/12, m = ~26/25~27/26, and s = 40/39.

	(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation.)		(Hence Cthon5m admits an Island (2.3.5.13[ [[676/675]] ] temperament) interpretation.)

Inthar: /* External links */ Corrected titles of SW links (sequar5m -> cthon5m)

2024-12-14T16:35:45Z

External links: Corrected titles of SW links (sequar5m -> cthon5m)

← Older revision		Revision as of 16:35, 14 December 2024
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	== External links ==		== External links ==
	* [https://sw3.lumipakkanen.com/scale/~~C7mHFdyHd~~ 34edo (4:2:1) tuning]		* [https://sw3.lumipakkanen.com/scale/Udm0Ix3Kl 34edo (4:2:1) tuning]
	* [https://sw3.lumipakkanen.com/scale/~~C7mZtkgOf~~ 53edo (6:3:2) tuning]		* [https://sw3.lumipakkanen.com/scale/UdmzxDxtu 53edo (6:3:2) tuning]
	*[https://sw3.lumipakkanen.com/scale/~~H7mCtIv2i~~ 58edo (7:3:2) tuning]		* [https://sw3.lumipakkanen.com/scale/Udmr6q8k8 58edo (7:3:2) tuning]
	* [https://sw3.lumipakkanen.com/scale/~~C7mTDZFH9~~ 87edo (10:5:3) tuning]		* [https://sw3.lumipakkanen.com/scale/UdmMBly3k 87edo (10:5:3) tuning]

	[[Category:Aberrismic theory]]		[[Category:Aberrismic theory]]
	[[Category:Rank-3 scales]]		[[Category:Rank-3 scales]]