Minismic chords - Revision history

FloraC: Name change followup

2026-03-03T09:25:29Z

Name change followup

← Older revision		Revision as of 09:25, 3 March 2026
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	'''~~Schisminic~~ chords''' are [[~~Dyadic chord\|~~essentially tempered ~~chords~~]] tempered by the ~~schismina~~, [[4096/4095]].		'''Minismic chords''' are [[essentially tempered chord]]s tempered by the minisma, [[4096/4095]].

	There are two triads and three tetrads as 2.3.5.7.13 subgroup [[21-odd-limit]] essentially tempered chords.		There are two triads and three tetrads as [[2.3.5.7.13 subgroup]] [[21-odd-limit]] essentially tempered chords.

	The two ~~schisminic~~ triads are in inverse relationship:		The two minismic triads are in inverse relationship:
	* 1-16/13-21/16 with steps of 16/13-16/15-32/21, and its inverse		* 1-16/13-21/16 with steps of 16/13-16/15-32/21, and its inverse
	* 1-16/15-21/16 with steps of 16/15-16/13-32/21.		* 1-16/15-21/16 with steps of 16/15-16/13-32/21.
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	* 1-16/15-21/16-7/5 with steps of 16/15-16/13-16/15-10/7.		* 1-16/15-21/16-7/5 with steps of 16/15-16/13-16/15-10/7.

	Equal temperaments with ~~schisminic~~ chords include {{Optimal ET sequence\|53, 77, 87, 130, 140, 171, 217, 224, 270, 301, 311, 354, 441, 494, 571, 711, 795, 935, 1065, 1376 and 1506}}.		Equal temperaments with minismic chords include {{Optimal ET sequence\| 53, 77, 87, 130, 140, 171, 217, 224, 270, 301, 311, 354, 441, 494, 571, 711, 795, 935, 1065, 1376 and 1506 }}.

	[[Category:21-odd-limit]]		[[Category:21-odd-limit]]
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	[[Category:Triads]]		[[Category:Triads]]
	[[Category:Tetrads]]		[[Category:Tetrads]]
	[[Category:~~Schisminic~~]]		[[Category:Minismic]]

FloraC: FloraC moved page Schisminic chords to Minismic chords: Name change followup

2026-03-03T09:24:05Z

FloraC moved page Schisminic chords to Minismic chords: Name change followup

← Older revision	Revision as of 09:24, 3 March 2026
(No difference)

Xenllium at 04:51, 26 November 2023

2023-11-26T04:51:18Z

← Older revision		Revision as of 04:51, 26 November 2023
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	'''Schisminic chords''' are [[Dyadic chord\|essentially tempered chords]] tempered by the schismina, [[4096/4095]].		'''Schisminic chords''' are [[Dyadic chord\|essentially tempered chords]] tempered by the schismina, [[4096/4095]].

	~~The~~ two ~~schisminic~~ triads ~~are in inverse relationship:~~		There are two triads and three tetrads as 2.3.5.7.13 subgroup [[21-odd-limit]] essentially tempered chords.
	* 1-16/13-21~~/16 with steps 16/13~~-~~16/15~~-~~32/21 and its inverse 1-16/15-21/16 with steps 16/15-16/13-32/21~~.

	They can be extended to following palindromic tetrads:		The two schisminic triads are in inverse relationship:
	* 1-15/13-16/13-15/8 with steps 15/13-16/15-32/21-16/15;		* 1-16/13-21/16 with steps of 16/13-16/15-32/21, and its inverse
	* 1-16/13-21/16-21/13 with steps 16/13-16/15-16/13-26/21;		* 1-16/15-21/16 with steps of 16/15-16/13-32/21.
	* 1-16/15-21/16-7/5 with steps 16/15-16/13-16/15-10/7.
			They can be extended to following palindromic tetrads:
			* 1-15/13-16/13-15/8 with steps of 15/13-16/15-32/21-16/15;
			* 1-16/13-21/16-21/13 with steps of 16/13-16/15-16/13-26/21;
			* 1-16/15-21/16-7/5 with steps of 16/15-16/13-16/15-10/7.

	Equal temperaments with schisminic chords include {{Optimal ET sequence\|53, 77, 87, 130, 140, 171, 217, 224, 270, 301, 311, 354, 441, 494, 571, 711, 795, 935, 1065, 1376 and 1506}}.		Equal temperaments with schisminic chords include {{Optimal ET sequence\|53, 77, 87, 130, 140, 171, 217, 224, 270, 301, 311, 354, 441, 494, 571, 711, 795, 935, 1065, 1376 and 1506}}.

Xenllium: Created page with "'''Schisminic chords''' are essentially tempered chords tempered by the schismina, 4096/4095. The two schisminic triads are in inverse relationship: * 1..."

2023-08-15T23:59:13Z

Created page with "'''Schisminic chords''' are essentially tempered chords tempered by the schismina, 4096/4095. The two schisminic triads are in inverse relationship: * 1..."

New page

'''Schisminic chords''' are [[Dyadic chord|essentially tempered chords]] tempered by the schismina, [[4096/4095]].

The two schisminic triads are in inverse relationship:
* 1-16/13-21/16 with steps 16/13-16/15-32/21 and its inverse 1-16/15-21/16 with steps 16/15-16/13-32/21.

They can be extended to following palindromic tetrads:
* 1-15/13-16/13-15/8 with steps 15/13-16/15-32/21-16/15;
* 1-16/13-21/16-21/13 with steps 16/13-16/15-16/13-26/21;
* 1-16/15-21/16-7/5 with steps 16/15-16/13-16/15-10/7.

Equal temperaments with schisminic chords include {{Optimal ET sequence|53, 77, 87, 130, 140, 171, 217, 224, 270, 301, 311, 354, 441, 494, 571, 711, 795, 935, 1065, 1376 and 1506}}.

[[Category:21-odd-limit]]
[[Category:Essentially tempered chords]]
[[Category:Triads]]
[[Category:Tetrads]]
[[Category:Schisminic]]