User:Moremajorthanmajor/TAMNAMS Extension - Revision history

ArrowHead294 at 14:10, 20 March 2025

2025-03-20T14:10:28Z

← Older revision		Revision as of 14:10, 20 March 2025
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	!''k''th descendant		!''k''th descendant
	\|-		\|-
	\|From [[~~Diatonic~~, ~~Chromatic~~, ~~Enharmonic~~, ~~Subchromatic~~]]		\|From [[diatonic, chromatic, enharmonic, subchromatic]]
	\|n/a		\|n/a
	\|n/a		\|n/a

Moremajorthanmajor: /* Non-octave extensions (proposed) */

2024-12-30T00:18:46Z

Non-octave extensions (proposed)

Show changes

Moremajorthanmajor: /* Names for 3/2-equivalent mosses */

2024-11-26T23:40:13Z

Names for 3/2-equivalent mosses

Show changes

Moremajorthanmajor: /* Non-octave twins of diatonic */

2024-11-19T04:50:00Z

Non-octave twins of diatonic

← Older revision		Revision as of 04:50, 19 November 2024
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	!Reasoning or ideas		!Reasoning or ideas
	\|-		\|-
	\|1L 2s <5/4, 9/7>*		\|1L 2s <5/4, 9/7 (21/16), 13/10>
	\|Second magitonic or mystic antrial		\|Second magitonic or mystic antrial
	\| colspan="2" rowspan="2" \|use compound		\| colspan="2" rowspan="2" \|use compound
	\| rowspan="2" \|Linear combination of undivided major third and equal multiples of whole tone, by analogy with magic temperament having a major third generator		\| rowspan="2" \|Linear combination of undivided major third and equal multiples of whole tone, by analogy with magic temperament having a major third generator
	\|-		\|-
	\|2L 1s <5/4, 9/7>*		\|2L 1s <5/4, 9/7 (21/16), 13/10>
	\|Second magitonic or mystic trial		\|Second magitonic or mystic trial
	\|-		\|-
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	\|-		\|-
	\|1L 3s<7/5, 10/7, 11/8, 3/2><ref>Partial detemperament of subaric temperament</ref>		\|1L 3s<7/5, 10/7, 11/8, 3/2><ref>Partial detemperament of subaric temperament</ref>
	\|hard lydianic antetric		\|(hard) lydianic antetric
	\| colspan="2" \|use compound		\| colspan="2" \|use compound
	\|Linear combination of Lydian tetrachord and undivided tritone, analogous to 3:1 step ratio of hard mosses		\|Linear combination of Lydian tetrachord and undivided tritone, analogous to 3:1 step ratio of hard mosses
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	\|-		\|-
	\|3L 1s<7/5, 10/7, 11/8><ref>Partial detemperament of hedgehog temperament</ref>		\|3L 1s<7/5, 10/7, 11/8><ref>Partial detemperament of hedgehog temperament</ref>
	\|hard lydianic tetric		\|(hard) lydianic tetric
	\| colspan="2" \|use compound		\| colspan="2" \|use compound
	\|Linear combination of Lydian tetrachord and undivided tritone, analogous to 3:1 step ratio of hard mosses		\|Linear combination of Lydian tetrachord and undivided tritone, analogous to 3:1 step ratio of hard mosses
	\|-		\|-
	\|3L 1s <3/2>		\|3L 1s <3/2>
	\|phrygianic[4], hard lydianic tetric		\|phrygianic[4], (hard) lydianic tetric
	\|phryg-		\|phryg-
	\|phryg		\|phryg
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	\|Linear combination of Hindu pentachord and undivided augmented fifth		\|Linear combination of Hindu pentachord and undivided augmented fifth
	\|-		\|-
	\|3L 2s <8/5, 14/9, 11/7, 13/8>		\|3L 2s <8/5, 14/9 (32/21), 11/7, 13/8>
	\|aeolianic, phrygianic[5]		\|aeolianic, phrygianic[5]
	\|aeol-, phryg-		\|aeol-, phryg-
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	\|Regularisation of Persian/Arabic Mahur scale		\|Regularisation of Persian/Arabic Mahur scale
	\|-		\|-
	\|7L 2s <5/2, 18/7, 13/5*>		\|7L 2s <5/2, 18/7 (21/8), 13/5*>
	\|armodecadic		\|armodecadic
	\|ardec-		\|ardec-
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	\|Canonical macrochromatic scale		\|Canonical macrochromatic scale
	\|-		\|-
	\|8L 4s <16/5, 28/9, 22/7, 13/4><ref name=":0" />		\|8L 4s <16/5, 28/9 (64/21), 22/7, 13/4><ref name=":0" />
	\|m-chromatic bastonic		\|m-chromatic bastonic
	\|		\|
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	\|Canonical enneadecatonic macroenharmonic scale		\|Canonical enneadecatonic macroenharmonic scale
	\|-		\|-
	\|13L 6s <32/5, 56/9, 44/7, 13/2>		\|13L 6s <32/5, 56/9 (128/21), 44/7, 13/2>
	\|		\|
	\|		\|
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	!Reasoning or ideas		!Reasoning or ideas
	\|-		\|-
	\|18L 8s <64/5, 112/9, 88/7, 13/1><ref name=":0" />		\|18L 8s <64/5, 112/9 (256/21), 88/7, 13/1><ref name=":0" />
	\|Petrushkatonic (minor)		\|Petrushkatonic (minor)
	\| rowspan="2" \|petrushka-		\| rowspan="2" \|petrushka-
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	!Reasoning or ideas		!Reasoning or ideas
	\|-		\|-
	\|2L 3s<7/5, 10/7, 11/8*>		\|2L 3s<7/5, 10/7, 11/8*><ref>Partial detemperament of lime temperaments </ref>
	\|soft lydianic pentic		\|(soft) lydianic pentic
	\| colspan="2" rowspan="2" \|use compound		\| colspan="2" rowspan="2" \|use compound
	\| rowspan="2" \|Linear combination of Lydian tetrachord and equal multiples of sesquitone, analogous to 3:2 step ratio of soft mosses		\| rowspan="2" \|Linear combination of Lydian tetrachord and equal multiples of sesquitone, analogous to 3:2 step ratio of soft mosses
	\|-		\|-
	\|3L 2s<7/5, 10/7, 11/8*>		\|3L 2s<7/5, 10/7, 11/8*><ref>Partial detemperament of lemon temperaments</ref>
	\|soft lydianic anpentic		\|(soft) lydianic anpentic
	\|}		\|}

Moremajorthanmajor: /* Non-octave twins of diatonic */

2024-11-19T04:02:15Z

Non-octave twins of diatonic

← Older revision		Revision as of 04:02, 19 November 2024
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	\|-		\|-
	\|3L 1s <3/2>		\|3L 1s <3/2>
	\|phrygianic[4]		\|phrygianic[4], hard lydianic tetric
	\|phryg-		\|phryg-
	\|phryg		\|phryg
	\|“Perfect” fifth is the characteristic interval of Phrygian mode		\|“Perfect” fifth is the characteristic interval of Phrygian mode
			Lydian pentachord is analogous to major scale
	Mason Green proposes angelic specifically for the instance of this mos within 12L 4s <5/1>		Mason Green proposes angelic specifically for the instance of this mos within 12L 4s <5/1>

Moremajorthanmajor: /* Non-octave twins of diatonic */

2024-10-15T16:52:56Z

Non-octave twins of diatonic

← Older revision		Revision as of 16:52, 15 October 2024
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	\|-		\|-
	\|5L 1s <15/8, 27/14, 11/6*>		\|5L 1s <15/8, 27/14, 11/6*>
	\|ionianic[6]		\|ionianic[6], lydianic[6]
	\|ion-		\|ion-, lyd-
	\|ion		\|ion, lyd
	\|Commonly invoked as Ionian (major) heptacbord		\|Commonly invoked as Ionian (major) heptacbord
	\|-		\|-

Moremajorthanmajor: /* Non-octave twins of diatonic */

2024-10-15T16:50:07Z

Non-octave twins of diatonic

← Older revision		Revision as of 16:50, 15 October 2024
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	\|-		\|-
	\|2L 1s <4/3>		\|2L 1s <4/3>
	\|ionianic		\|ionianic[4]
	\|ion-		\|ion-
	\|ion		\|ion
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	\|-		\|-
	\|5L 1s <15/8, 27/14, 11/6*>		\|5L 1s <15/8, 27/14, 11/6*>
	\|~~second~~ ionianic		\|ionianic[6]
	\|~~2ion~~-		\|ion-
	\|~~2ion~~		\|ion
	\|Commonly invoked as Ionian (major) heptacbord		\|Commonly invoked as Ionian (major) heptacbord
	\|-		\|-

Moremajorthanmajor: /* Non-octave twins of diatonic */

2024-10-15T16:45:40Z

Non-octave twins of diatonic

← Older revision		Revision as of 16:45, 15 October 2024
Line 1,102:		Line 1,102:
	\|-		\|-
	\|3L 1s <3/2>		\|3L 1s <3/2>
	\|phrygianic		\|phrygianic[4]
	\|phryg-		\|phryg-
	\|phryg		\|phryg
Line 1,124:		Line 1,124:
	\|-		\|-
	\|3L 2s <8/5, 14/9, 11/7, 13/8>		\|3L 2s <8/5, 14/9, 11/7, 13/8>
	\|aeolianic		\|aeolianic, phrygianic[5]
	\|aeol-		\|aeol-, phryg-
	\|aeol		\|aeol, phryg
	\|Commonly invoked as Aeolian (natural minor) ~~hexacbord~~		\|Commonly invoked as Aeolian (natural minor) hexachord
			Phrygian hexachord is analogous to major scale
	\|-		\|-
	\|4L 1s <8/5, 14/9, 11/7, 13/8, 3/2>*		\|4L 1s <8/5, 14/9, 11/7, 13/8, 3/2>*

Moremajorthanmajor: /* Non-octave twins of diatonic */

2024-10-15T14:58:59Z

Non-octave twins of diatonic

← Older revision		Revision as of 14:58, 15 October 2024
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	\|-		\|-
	\|4L 1s <5/3, 12/7>		\|4L 1s <5/3, 12/7>
	\|dorianic		\|dorianic[5]
	\|dor-		\|dor-
	\|dor		\|dor
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	\|-		\|-
	\|4L 2s <9/5, 7/4><ref name=":0" />		\|4L 2s <9/5, 7/4><ref name=":0" />
	\|mixolydianic		\|mixolydianic, dorianic[6]
	\|mixo-		\|mixo-, dor-
	\|mixo		\|mixo, dor
	\|Minor seventh is the characteristic interval of Mixolydian mode		\|Minor seventh is the characteristic interval of Mixolydian mode
			Dorian heptachord is analogous to major scale
	\|-		\|-
	\|5L 1s <9/5, 7/4, 5/3>		\|5L 1s <9/5, 7/4, 5/3>

Moremajorthanmajor: /* Equave-agnostic names (proposed) */

2024-09-07T01:15:18Z

Equave-agnostic names (proposed)

← Older revision		Revision as of 01:15, 7 September 2024
Line 1,032:		Line 1,032:
	With 7-note mosses, there are three pairs of mosses, whose names are based on three languages: Greek, Latin, and Sanskrit. The pair 5L 2s and 2L 5s are given the Greek-based name of '''heptic''', as 5L 2s is the familiar diatonic scale. The next pair, 3L 4s and 4L 3s, are given the Latin-based name of '''septenic'''. The last pair, 1L 6s and 6L 1s, are given the Sanskrit-based name of '''saptic''.'''''		With 7-note mosses, there are three pairs of mosses, whose names are based on three languages: Greek, Latin, and Sanskrit. The pair 5L 2s and 2L 5s are given the Greek-based name of '''heptic''', as 5L 2s is the familiar diatonic scale. The next pair, 3L 4s and 4L 3s, are given the Latin-based name of '''septenic'''. The last pair, 1L 6s and 6L 1s, are given the Sanskrit-based name of '''saptic''.'''''

	This pattern is continued for all successive sequences of mosses for each successive note count: 1L ns and nL 1s are given a Sanskrit-based name, the next single-period pair after that are given a Greek-based name, and the next single-period pair after that are given a Latin-based name. The two 8-note pairs are named '''~~astaic~~''' (7L 1s and 1L 7s) and '''octic''' (5L 3s and 3L 5s) respectively. The three 9-note pairs are named '''navic''' (8L 1s and 1L 8s), '''ennaic''' (7L 2s and 2L 7s), and '''novemic''' (4L 5s and 5L 4s). Finally the two 10-note pairs are named '''dashic''' (9L 1s and 1L 9s) and '''dekic''' (7L 3s and 3L 7s).		This pattern is continued for all successive sequences of mosses for each successive note count: 1L ns and nL 1s are given a Sanskrit-based name, the next single-period pair after that are given a Greek-based name, and the next single-period pair after that are given a Latin-based name. The two 8-note pairs are named '''ashtaic''' (7L 1s and 1L 7s) and '''octic''' (5L 3s and 3L 5s) respectively. The three 9-note pairs are named '''navic''' (8L 1s and 1L 8s), '''ennaic''' (7L 2s and 2L 7s), and '''novemic''' (4L 5s and 5L 4s). Finally the two 10-note pairs are named '''dashic''' (9L 1s and 1L 9s) and '''dekic''' (7L 3s and 3L 7s).

	11-note mosses require naming five pairs, so this naming scheme stops at 10-note mosses.		11-note mosses require naming five pairs, so this naming scheme stops at 10-note mosses.