List of MOS scales in 31edo - Revision history

ArrowHead294 at 17:48, 2 April 2025

2025-04-02T17:48:01Z

← Older revision		Revision as of 17:48, 2 April 2025
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	{{MOSes in EDO~~\|EDO=31~~}}		{{MOSes in EDO}}

	== Pergen Names ==		== Pergen Names ==

Ganaram inukshuk: Removed mosses sorted by note count since they're already listed by generator; this is its own edit so it can be easily undone if needed

2023-12-18T18:28:05Z

Removed mosses sorted by note count since they're already listed by generator; this is its own edit so it can be easily undone if needed

Show changes

Ganaram inukshuk: Organization

2023-12-18T18:25:53Z

Organization

← Older revision		Revision as of 18:25, 18 December 2023
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	{{MOSes in EDO\|EDO=31}}		{{MOSes in EDO\|EDO=31}}

	== ~~MOS Families of 31edo~~ ==		== Pergen Names ==
	~~The following diagram shows every generator from 1\31 (one degree of 31edo) to 15\31 (15 degrees of~~ 31edo), and two [[MOS Scale]]s that one can produce with that generator. The bold lines outline a scale with ten or fewer tones; the lighter lines add some more tones. The exact stopping-point of the generation process in these examples is, admittedly, somewhat arbitrary. Scales with a greater number of tones can be ~~produced~~ by ~~continuing the generating process, until all 31 tones have been included.~~		Temperaments supported by 31edo may also be referred by [[pergen]] names.

	[[~~File:31edo_mos_families.jpg\|alt=31edo_mos_families.jpg\|31edo_mos_families.jpg~~]]

	~~=== Pergen Names ===~~
	~~Note that many of the~~ names ~~above are outdated or just plain wrong; most of these names are based on temperaments and pre-TANMANS naming schemes~~. ~~Here are the [[pergen]] names for 31edo's rank-2 scales:~~

	* 1\31 = (P8, P4/13)		* 1\31 = (P8, P4/13)
Line 24:		Line 19:
	* 14\31 = (P8, c⁵P4/12)		* 14\31 = (P8, c⁵P4/12)
	* 15\31 = (P8, ccP4/5)		* 15\31 = (P8, ccP4/5)

			== Gallery ==
			[[File:31edo_mos_families.jpg\|alt=31edo_mos_families.jpg\|none\|frame\|MOS families of 31edo, with selected MOS scales for each generator.]]

	== MOS Scales of 31edo by cardinality ==		== MOS Scales of 31edo by cardinality ==

Ganaram inukshuk: Ganaram inukshuk moved page 31edo MOS scales to List of MOS scales in 31edo: Consistent name

2023-12-09T00:01:02Z

Ganaram inukshuk moved page 31edo MOS scales to List of MOS scales in 31edo: Consistent name

← Older revision	Revision as of 00:01, 9 December 2023
(No difference)

Ganaram inukshuk: Mosinedo template adds a lead section now

2023-12-08T23:33:04Z

Mosinedo template adds a lead section now

← Older revision		Revision as of 23:33, 8 December 2023
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	Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo\|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery.
	{{MOSes in EDO\|EDO=31}}		{{MOSes in EDO\|EDO=31}}

Ganaram inukshuk: A newline.

2023-12-08T09:34:53Z

A newline.

← Older revision		Revision as of 09:34, 8 December 2023
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	Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo\|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery.{{MOSes in EDO\|EDO=31}}		Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo\|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery.
			{{MOSes in EDO\|EDO=31}}

	== MOS Families of 31edo ==		== MOS Families of 31edo ==

Ganaram inukshuk: Rearranged sections; mosinedo template automatically adds section headers

2023-12-08T09:33:37Z

Rearranged sections; mosinedo template automatically adds section headers

← Older revision		Revision as of 09:33, 8 December 2023
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	Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo\|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery.		Since 31 is a prime number, any interval of a 31-tone equal scale ([[31edo\|31 equal divisions of the octave]] or 31 equal divisions of a non-octave interval), when stacked, will continue generating new intervals until all 31 tones have been included. Thus, it is ripe for moment of symmetry scalesmithery.{{MOSes in EDO\|EDO=31}}

	== MOS Families of 31edo ==		== MOS Families of 31edo ==
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	* 14\31 = (P8, c⁵P4/12)		* 14\31 = (P8, c⁵P4/12)
	* 15\31 = (P8, ccP4/5)		* 15\31 = (P8, ccP4/5)

	~~== MOS Scales by Generator Pair ==~~
	~~The following is a table that sorts all possible moment-of-symmetry scales by generator pair, including mos information, temperament-agnostic information, and temperament information. A few notes:~~

	* The table denotes each family using a [[Horogram#Rectangular Horogram\|rectangular horogram]], starting with 1L 1s and [[MOS Diagrams\|adding notes]] until all 31 notes are added.
	* For scales whose order of steps, from read left-to-right, starts with a large step and ends with a small step, the smaller of the two generators is the chroma-positive generator; otherwise, the larger of the two is the chroma-positive generator.
	* TAMNAMS names are used wherever possible, excluding names for mosses with 3 or fewer notes and 1L ns scales for tidiness.
	~~{{MOSes in EDO\|EDO=31}}~~

	== MOS Scales of 31edo by cardinality ==		== MOS Scales of 31edo by cardinality ==

Ganaram inukshuk: Replaced table with template

2023-12-04T21:12:03Z

Replaced table with template

Show changes

Ganaram inukshuk: /* MOS Scales by Generator Pair */ Updated tamnams names

2022-11-18T21:54:52Z

MOS Scales by Generator Pair: Updated tamnams names

← Older revision		Revision as of 21:54, 18 November 2022
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	* The table denotes each family using a [[Horogram#Rectangular Horogram\|rectangular horogram]], starting with 1L 1s and [[MOS Diagrams\|adding notes]] until all 31 notes are added.		* The table denotes each family using a [[Horogram#Rectangular Horogram\|rectangular horogram]], starting with 1L 1s and [[MOS Diagrams\|adding notes]] until all 31 notes are added.
	* For scales whose order of steps, from read left-to-right, starts with a large step and ends with a small step, the smaller of the two generators is the chroma-positive generator; otherwise, the larger of the two is the chroma-positive generator.		* For scales whose order of steps, from read left-to-right, starts with a large step and ends with a small step, the smaller of the two generators is the chroma-positive generator; otherwise, the larger of the two is the chroma-positive generator.
	* TAMNAMS names are used wherever possible.		* TAMNAMS names are used wherever possible, excluding names for mosses with 3 or fewer notes and 1L ns scales for tidiness.

	{\| class="wikitable mw-collapsible"		{\| class="wikitable mw-collapsible"
Line 1,670:		Line 1,670:
	\|[[4L 1s]]		\|[[4L 1s]]
	\|7:3		\|7:3
	\|~~manic~~		\|manual
	\|orwell[5]		\|orwell[5]
	\|-		\|-
Line 1,684:		Line 1,684:
	\|[[4L 5s]]		\|[[4L 5s]]
	\|4:3		\|4:3
	\|~~orwelloid~~		\|gramitonic
	\|orwell[9]		\|orwell[9]
	\|-		\|-
Line 1,795:		Line 1,795:
	\|[[3L 1s]]		\|[[3L 1s]]
	\|8:7		\|8:7
	\|		\|tetric
	\|myna[4]		\|myna[4]
	\|-		\|-
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	\|[[4L 7s]]		\|[[4L 7s]]
	\|6:1		\|6:1
	\|~~kleistonic~~		\|
	\|myna[11]		\|myna[11]
	\|-		\|-
Line 1,993:		Line 1,993:
	\|[[3L 1s]]		\|[[3L 1s]]
	\|9:4		\|9:4
	\|		\|tetric
	\|mohajira[4]		\|mohajira[4]
	\|-		\|-
Line 2,137:		Line 2,137:
	\|[[3L 1s]]		\|[[3L 1s]]
	\|10:1		\|10:1
	\|		\|tetric
	\|würschmidt[4]		\|würschmidt[4]
	\|-		\|-
Line 2,397:		Line 2,397:
	\|[[3L 5s]]		\|[[3L 5s]]
	\|7:2		\|7:2
	\|~~sensoid~~		\|checkertonic
	\|squares[8]		\|squares[8]
	\|-		\|-
Line 2,671:		Line 2,671:
	\|[[7L 5s]]		\|[[7L 5s]]
	\|3:2		\|3:2
	\|~~m-chromatic~~		\|
	\|meantone[12]		\|meantone[12]
	\|-		\|-
Line 2,788:		Line 2,788:
	\|[[2L 7s]]		\|[[2L 7s]]
	\|5:3		\|5:3
	\|~~joanatonic~~		\|balzano
	\|casablanca[9]		\|casablanca[9]
	\|-		\|-
Line 2,922:		Line 2,922:
	\|[[2L 7s]]		\|[[2L 7s]]
	\|12:1		\|12:1
	\|~~joanatonic~~		\|balzano
	\|tritonic[9]		\|tritonic[9]
	\|-		\|-

Inthar at 00:50, 28 April 2022

2022-04-28T00:50:11Z

← Older revision		Revision as of 00:50, 28 April 2022
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	\|[[4L 7s]]		\|[[4L 7s]]
	\|6:1		\|6:1
	\|		\|kleistonic
	\|myna[11]		\|myna[11]
	\|-		\|-