VectorGraphics: got rid of the horrifically idiosyncratic "patet" stuff and used a more proper mode name system

2025-04-14T06:04:04Z

got rid of the horrifically idiosyncratic "patet" stuff and used a more proper mode name system

Show changes

VectorGraphics at 05:56, 14 April 2025

2025-04-14T05:56:12Z

Show changes

FloraC: Style cleanup (2/2)

2024-07-25T10:28:11Z

Style cleanup (2/2)

Show changes

FloraC: Style cleanup (1/2)

2024-07-25T10:19:50Z

Style cleanup (1/2)

← Older revision		Revision as of 10:19, 25 July 2024
Line 1:		Line 1:
	=Introduction=		== Introduction ==

	Mavila is the regular temperament eliminating [[~~135/128\|~~135/128]]. As a consequence, this means that it will have a generator significantly flat of 3/2 so that 4 of them add up to a minor third. For any decent tuning of mavila, another consequence of this tempering is that we end up with an "antidiatonic" 7-note MOS, such that the LLsLLLs melodic pattern becomes inverted into the ssLsssL pattern. (see [[~~2L_5s\|~~2L 5s]]) Additionally, while mavila supports 5-note and 7-note MOS's like meantone, it has an additional 9-note "superdiatonic" MOS scale as well, in which the LLsLLLs melodic pattern becomes extended into the LLLsLLLLs pattern. (see[[~~7L_2s\|~~ 7L 2s]]) These correspondences can be harnessed to create an intuitive naming system for the modes of mavila[7] and mavila[9] which reference the names of the existing familiar modes of meantone[7].		Mavila is the regular temperament eliminating [[135/128]]. As a consequence, this means that it will have a generator significantly flat of 3/2 so that 4 of them add up to a minor third. For any decent tuning of mavila, another consequence of this tempering is that we end up with an "antidiatonic" 7-note MOS, such that the LLsLLLs melodic pattern becomes inverted into the ssLsssL pattern. (see [[2L 5s]]) Additionally, while mavila supports 5-note and 7-note MOS's like meantone, it has an additional 9-note "superdiatonic" MOS scale as well, in which the LLsLLLs melodic pattern becomes extended into the LLLsLLLLs pattern. (see [[7L 2s]]) These correspondences can be harnessed to create an intuitive naming system for the modes of mavila[7] and mavila[9] which reference the names of the existing familiar modes of meantone[7].

	===How to read these charts===		=== How to read these charts ===
	~~<ul><li>~~The 6\|0, 5\|1, 4\|2 markings are an instance of [[~~Modal_UDP_Notation\|~~Modal UDP Notation]].~~</li><li>~~Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.~~</li><li>~~Additionally, "diatonic" names make use of the following abbreviations:~~<ul><li>~~SM - Supermajor~~</li><li>~~M - Major~~</li><li>~~N - Neutral~~</li><li>~~m - Minor~~</li><li>~~sm - Subminor~~</li></ul></li></ul>~~		* The 6\|0, 5\|1, 4\|2 markings are an instance of [[Modal UDP Notation]].
			* Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.
			* Additionally, "diatonic" names make use of the following abbreviations:
			** SM - Supermajor
			** M - Major
			** N - Neutral
			** m - Minor
			** sm - Subminor

	=2L3s Pentatonic MOS: Pentic=		== 2L3s Pentatonic MOS: Pentic ==
	4\|0 - LsLss - Patet deng		4\|0 - LsLss - Patet deng

Line 19:		Line 26:
	In cyclic permutational order: Patet ding \| Patet dong \| Patet deng \| Patet dung \| Patet dang		In cyclic permutational order: Patet ding \| Patet dong \| Patet deng \| Patet dung \| Patet dang

	===Transversal===		=== Transversal ===

	{\| class="wikitable"		{\| class="wikitable"
Line 78:		Line 85:
	\|}		\|}

	==="Diatonic" Names===		=== "Diatonic" Names ===

	{\| class="wikitable"		{\| class="wikitable"
Line 195:		Line 202:
	\|}		\|}

	=~~2L5s~~ Heptatonic MOS: Antidiatonic=		== 2L 5s Heptatonic MOS: Antidiatonic ==

	{\| class="wikitable"		{\| class="wikitable"
Line 222:		Line 229:
	<span style="line-height: 1.5;">In cyclic permutational order: Ionian \| Dorian \| Phrygian \| Lydian \| Mixolydian \| Aeolian \| Locrian</span>		<span style="line-height: 1.5;">In cyclic permutational order: Ionian \| Dorian \| Phrygian \| Lydian \| Mixolydian \| Aeolian \| Locrian</span>

	===Transversal===		=== Transversal ===

	{\| class="wikitable"		{\| class="wikitable"
Line 315:		Line 322:
	\|}		\|}

	==="Diatonic" Names===		=== "Diatonic" Names ===

	{\| class="wikitable"		{\| class="wikitable"
Line 408:		Line 415:
	\|}		\|}

	=~~7L2s~~ Nonatonic MOS: Superdiatonic=		== 7L 2s Nonatonic MOS: Superdiatonic ==

	{\| class="wikitable"		{\| class="wikitable"
Line 442:		Line 449:
	In cyclic permutational order: Ionian \| Corinthian \| Dorian \| Phrygian \| Lydian \| Mixolydian \| Olympian \| Aeolian \| Locrian		In cyclic permutational order: Ionian \| Corinthian \| Dorian \| Phrygian \| Lydian \| Mixolydian \| Olympian \| Aeolian \| Locrian

	===Transversal===		=== Transversal ===

	{\| class="wikitable"		{\| class="wikitable"
Line 577:		Line 584:
	\|}		\|}

	==="Diatonic" Names===		=== "Diatonic" Names ===

	{\| class="wikitable"		{\| class="wikitable"
Line 712:		Line 719:
	\|}		\|}

	===Superdiatonic Qualities===		=== Superdiatonic Qualities ===
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
Line 846:		Line 853:
	\|}		\|}

	=Notes on Naming=		== Notes on Naming ==

	The modes of the antidiatonic scale are simply named after the existing diatonic scale modes, but with the "Anti-" prefix (e.g. Anti-ionian, Anti-aeolian, etc). The modes of the superdiatonic scale are also named after the existing modes, but contain the "Super" prefix (e.g. Superionian, Superaeolian, etc.). The "anti" and "super" prefixes can be left in to explicitly distinguish which MOS's modes you're talking about, or can be omitted for convention.		The modes of the antidiatonic scale are simply named after the existing diatonic scale modes, but with the "Anti-" prefix (e.g. Anti-ionian, Anti-aeolian, etc). The modes of the superdiatonic scale are also named after the existing modes, but contain the "Super" prefix (e.g. Superionian, Superaeolian, etc.). The "anti" and "super" prefixes can be left in to explicitly distinguish which MOS's modes you're talking about, or can be omitted for convention.
Line 856:		Line 863:
	As were the original modes named after regions of ancient Greece, so are these new superdiatonic extensions. The one between Ionian and Dorian is called Corinthian, after the Greek island of Corinth, set up so that the Ionian -> Corinthian -> Dorian cyclic sequence will resemble the columns of ancient Greek architecture. The mode cyclically placed between Mixolydian and Aeolian, which is the symmetrical LLsLLLsLL scale, has a number of noteworthy theoretical properties, in that it contains every modal rotation of mavila[5], and hence the entire mavila-tempered 5-limit tonality diamond; it was given the name of Olympian to match its unique status in this regard.		As were the original modes named after regions of ancient Greece, so are these new superdiatonic extensions. The one between Ionian and Dorian is called Corinthian, after the Greek island of Corinth, set up so that the Ionian -> Corinthian -> Dorian cyclic sequence will resemble the columns of ancient Greek architecture. The mode cyclically placed between Mixolydian and Aeolian, which is the symmetrical LLsLLLsLL scale, has a number of noteworthy theoretical properties, in that it contains every modal rotation of mavila[5], and hence the entire mavila-tempered 5-limit tonality diamond; it was given the name of Olympian to match its unique status in this regard.

	[[Category:~~modes~~]]		[[Category:Mavila]]
			[[Category:Modes]]
	[[Category:Essays]]		[[Category:Essays]]

Fredg999: Categories

2024-07-24T20:06:46Z

Sintel: nicer colors

2023-10-07T11:41:13Z

nicer colors

Show changes

CompactStar: I thought pelogic was a temperament

2023-07-20T21:00:38Z

I thought pelogic was a temperament

← Older revision		Revision as of 21:00, 20 July 2023
Line 6:		Line 6:
	<ul><li>The 6\|0, 5\|1, 4\|2 markings are an instance of [[Modal_UDP_Notation\|Modal UDP Notation]].</li><li>Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.</li><li>Additionally, "diatonic" names make use of the following abbreviations:<ul><li>SM - Supermajor</li><li>M - Major</li><li>N - Neutral</li><li>m - Minor</li><li>sm - Subminor</li></ul></li></ul>		<ul><li>The 6\|0, 5\|1, 4\|2 markings are an instance of [[Modal_UDP_Notation\|Modal UDP Notation]].</li><li>Unless otherwise specified, all transversals occur in the 2.3.5.7.11 extension of Mavila which tempers out 135/128, 36/35, 45/44, 33/32, called 11-limit Armodue temperament.</li><li>Additionally, "diatonic" names make use of the following abbreviations:<ul><li>SM - Supermajor</li><li>M - Major</li><li>N - Neutral</li><li>m - Minor</li><li>sm - Subminor</li></ul></li></ul>

	=2L3s Pentatonic MOS: ~~Pelogic~~=		=2L3s Pentatonic MOS: Pentic=
	4\|0 - LsLss - Patet deng		4\|0 - LsLss - Patet deng

Inthar: /* Patet Qualities */ section titles shouldn't be bolded

2022-05-29T18:20:43Z

Patet Qualities: section titles shouldn't be bolded

← Older revision		Revision as of 18:20, 29 May 2022
Line 137:		Line 137:
	\|}		\|}

	=== ~~'''~~Patet Qualities~~'''~~ ===		=== Patet Qualities ===
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-

FloraC: FloraC moved page Mavila Temperament Modal Harmony to Mavila temperament modal harmony: WP:NCCAPS

2022-04-02T18:56:28Z

FloraC moved page Mavila Temperament Modal Harmony to Mavila temperament modal harmony: WP:NCCAPS

← Older revision	Revision as of 18:56, 2 April 2022
(No difference)

Moremajorthanmajor: /* Patet Names */

2021-08-16T17:20:14Z

Patet Names

← Older revision		Revision as of 17:20, 16 August 2021
Line 137:		Line 137:
	\|}		\|}

	=== '''Patet ~~Names~~''' ===		=== '''Patet Qualities''' ===
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-
Line 712:		Line 712:
	\|}		\|}

	===Superdiatonic ~~qualities~~===		===Superdiatonic Qualities===
	{\| class="wikitable"		{\| class="wikitable"
	\|-		\|-

← Older revision		Revision as of 20:06, 24 July 2024
Line 857:		Line 857:

	[[Category:modes]]		[[Category:modes]]
			[[Category:Essays]]

Mavila temperament modal harmony - Revision history

VectorGraphics: got rid of the horrifically idiosyncratic "patet" stuff and used a more proper mode name system

VectorGraphics at 05:56, 14 April 2025

FloraC: Style cleanup (2/2)

FloraC: Style cleanup (1/2)

Fredg999: Categories

Sintel: nicer colors

CompactStar: I thought pelogic was a temperament

Inthar: /* Patet Qualities */ section titles shouldn't be bolded

FloraC: FloraC moved page Mavila Temperament Modal Harmony to Mavila temperament modal harmony: WP:NCCAPS

Moremajorthanmajor: /* Patet Names */