Commatose - Revision history

FloraC: Redirected page to Subgroup temperaments#Commatose

2022-08-01T14:28:00Z

Redirected page to Subgroup temperaments#Commatose

← Older revision		Revision as of 14:28, 1 August 2022
Line 1:		Line 1:
	Commatose is a fifthless temperament which uses the Pythagorean comma as a generator. It was developed by Eliora to highlight the near-perfect expression of 9/8 by 1789edo, while at the same time the fact that it completely misses 3/2.		#redirect [[Subgroup temperaments #Commatose]]

	~~It is defined as 460 & 1789 temperament.~~

	~~== Commatose ==~~

	~~=== 2.9.5.7 ===~~
	~~Subgroup: 2.9.5.7~~

	~~Comma list: {{monzo\|28, -2, -19, 8}}, {{monzo\|9, -25, 23, 6}}~~

	~~Mapping: {{val\|1 9 6 13}}, {{val\|0 -298 -188 -521}}~~

	~~POTE Generator: 23.4763c ~ 531441/524288~~

	~~Vals: 460, 1329, 1789~~

	~~=== 2.9.5.7.11 ===~~
	~~Subgroup: 2.9.5.7.11~~

	~~Comma list: {{monzo\|-7, 7, -3, 2, -4}}, {{monzo\|17, 0, -13, 1, 3}}, {{monzo\|11, -2, -6, 7, -3}}~~

	~~Mapping: {{val\|1 9 6 13 16}}, {{val\|0 -298 -188 -521 -641}}~~

	~~POTE Generator: 23.4766c ~ 531441/524288~~

	~~=== 2.9.5.7.11.13 ===~~
	~~Subgroup: 2.9.5.7.11.13~~

	~~Comma list: 123201/123200, 1016064/1015625, 2250423:2249390, 2599051/2598156.~~

Eliora at 13:46, 1 August 2022

2022-08-01T13:46:27Z

← Older revision		Revision as of 13:46, 1 August 2022
Line 8:		Line 8:
	Subgroup: 2.9.5.7		Subgroup: 2.9.5.7

	Comma list: [28, -2, -19, 8>, [9, -25, 23, 6>		Comma list: {{monzo\|28, -2, -19, 8}}, {{monzo\|9, -25, 23, 6}}

	Mapping: 1 9 6 13, 0 -298 -188 -521		Mapping: {{val\|1 9 6 13}}, {{val\|0 -298 -188 -521}}

	POTE Generator: 23.4763c ~ 531441/524288		POTE Generator: 23.4763c ~ 531441/524288
Line 19:		Line 19:
	Subgroup: 2.9.5.7.11		Subgroup: 2.9.5.7.11

	Comma list: [-7, 7, -3, 2, -4⟩, [17, 0, -13, 1, 3⟩, [11, -2, -6, 7, -3⟩		Comma list: {{monzo\|-7, 7, -3, 2, -4}}, {{monzo\|17, 0, -13, 1, 3}}, {{monzo\|11, -2, -6, 7, -3}}

	Mapping: 1 9 6 13 16, 0 -298 -188 -521 -641		Mapping: {{val\|1 9 6 13 16}}, {{val\|0 -298 -188 -521 -641}}

	POTE Generator: 23.4766c ~ 531441/524288		POTE Generator: 23.4766c ~ 531441/524288

Eliora: I'll later format according to monzo template and fill in everything else

2022-08-01T13:44:36Z

I'll later format according to monzo template and fill in everything else

New page

Commatose is a fifthless temperament which uses the Pythagorean comma as a generator. It was developed by Eliora to highlight the near-perfect expression of 9/8 by 1789edo, while at the same time the fact that it completely misses 3/2.

It is defined as 460 & 1789 temperament.

== Commatose ==

=== 2.9.5.7 ===
Subgroup: 2.9.5.7

Comma list: [28, -2, -19, 8>, [9, -25, 23, 6>

Mapping: 1 9 6 13, 0 -298 -188 -521

POTE Generator: 23.4763c ~ 531441/524288

Vals: 460, 1329, 1789

=== 2.9.5.7.11 ===
Subgroup: 2.9.5.7.11

Comma list: [-7, 7, -3, 2, -4⟩, [17, 0, -13, 1, 3⟩, [11, -2, -6, 7, -3⟩

Mapping: 1 9 6 13 16, 0 -298 -188 -521 -641

POTE Generator: 23.4766c ~ 531441/524288

=== 2.9.5.7.11.13 ===
Subgroup: 2.9.5.7.11.13

Comma list: 123201/123200, 1016064/1015625, 2250423:2249390, 2599051/2598156.