Syntonic–rastmic subchroma notation - Revision history

ArrowHead294 at 18:28, 11 February 2025

2025-02-11T18:28:51Z

← Older revision		Revision as of 18:28, 11 February 2025
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	<references />		<references />

	{{~~Notation navbox~~}}		{{Navbox notation}}

	~~[[Category:Notation]]~~

ArrowHead294: /* Accidentals */

2024-12-09T19:53:44Z

Accidentals

← Older revision		Revision as of 19:53, 9 December 2024
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	\| (None) \|\| (2187/2048)<sup>0</sup> \|\| {{monzo\| 0 }} \|\|		\| (None) \|\| (2187/2048)<sup>0</sup> \|\| {{monzo\| 0 }} \|\|
	\|-		\|-
	\| Demiflat \|\| (2187/2048)<sup>-1/2</sup> \|\| {{monzo\| 11/2 -7/2 }} \|\| d		\| Demiflat \|\| (2187/2048)<sup>−1/2</sup> \|\| {{monzo\| 11/2 -7/2 }} \|\| d
	\|-		\|-
	\| Flat \|\| (2187/2048)<sup>-1</sup> \|\| {{monzo\| 11 -7 }} \|\| b		\| Flat \|\| (2187/2048)<sup>−1</sup> \|\| {{monzo\| 11 -7 }} \|\| b
	\|-		\|-
	\| Sesquiflat \|\| (2187/2048)<sup>-3/2</sup> \|\| {{monzo\| 33/2 -21/2 }} \|\| db		\| Sesquiflat \|\| (2187/2048)<sup>−3/2</sup> \|\| {{monzo\| 33/2 -21/2 }} \|\| db
	\|-		\|-
	\| Double flat \|\| (2187/2048)<sup>-2</sup> \|\| {{monzo\| 22 -14 }} \|\| bb		\| Double flat \|\| (2187/2048)<sup>−2</sup> \|\| {{monzo\| 22 -14 }} \|\| bb
	\|-		\|-
	\| … \|\| … \|\| … \|\| …		\| … \|\| … \|\| … \|\| …
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	\| (None) \|\| (81/80)<sup>0</sup> \|\| {{monzo\| 0 }} \|\|		\| (None) \|\| (81/80)<sup>0</sup> \|\| {{monzo\| 0 }} \|\|
	\|-		\|-
	\| Demisynflat \|\| (81/80)<sup>-1/2</sup> \|\| {{monzo\| 2 -2 1/2 }} \|\| v		\| Demisynflat \|\| (81/80)<sup>−1/2</sup> \|\| {{monzo\| 2 -2 1/2 }} \|\| v
	\|-		\|-
	\| Synflat \|\| (81/80)<sup>-1</sup> \|\| {{monzo\| 4 -4 1 }} \|\| ↓		\| Synflat \|\| (81/80)<sup>−1</sup> \|\| {{monzo\| 4 -4 1 }} \|\| ↓
	\|-		\|-
	\| … \|\| … \|\| … \|\| …		\| … \|\| … \|\| … \|\| …
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	\| (None) \|\| (243/242)<sup>0</sup> \|\| {{monzo\| 0 }} \|\|		\| (None) \|\| (243/242)<sup>0</sup> \|\| {{monzo\| 0 }} \|\|
	\|-		\|-
	\| Demiraflat \|\| (243/242)<sup>-1/2</sup> \|\| {{monzo\| 1/2 -5/2 0 1 }} \|\| <		\| Demiraflat \|\| (243/242)<sup>−1/2</sup> \|\| {{monzo\| 1/2 -5/2 0 1 }} \|\| <
	\|-		\|-
	\| Raflat \|\| (243/242)<sup>-1</sup> \|\| {{monzo\| 1 -5 0 2 }} \|\| \		\| Raflat \|\| (243/242)<sup>−1</sup> \|\| {{monzo\| 1 -5 0 2 }} \|\| \
	\|-		\|-
	\| Sesquiraflat \|\| (243/242)<sup>-3/2</sup> \|\| {{monzo\| 3/2 -15/2 0 3 }} \|\| <\		\| Sesquiraflat \|\| (243/242)<sup>−3/2</sup> \|\| {{monzo\| 3/2 -15/2 0 3 }} \|\| <\
	\|-		\|-
	\| Double raflat \|\| (243/242)<sup>-2</sup> \|\| {{monzo\| 2 -10 0 4 }} \|\| \\		\| Double raflat \|\| (243/242)<sup>−2</sup> \|\| {{monzo\| 2 -10 0 4 }} \|\| \\
	\|-		\|-
	\| … \|\| … \|\| … \|\| …		\| … \|\| … \|\| … \|\| …
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	=== Natural accidental ===		=== Natural accidental ===
	The natural accidental cancels all pitch alterations.		The natural accidental cancels all pitch alterations.

	== Notation guide for common tunings ==		== Notation guide for common tunings ==

ArrowHead294: /* Notation guide for common tunings */

2024-12-03T18:51:59Z

Notation guide for common tunings

← Older revision		Revision as of 18:51, 3 December 2024
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	== Notation guide for common tunings ==		== Notation guide for common tunings ==
	The syntonic–rastmic subchroma notation is closely related to the [[~~syntonic–rastmic~~ equivalence continuum]], in that the accidental settings are similar among tunings of a particular equivalence number. Due to enharmonic equivalences, however, each tuning system can take many accidental settings. Each case shown in the tables below is only one of them. Users should choose the combination in question according to the semantics.		The syntonic–rastmic subchroma notation is closely related to the [[syntonic-rastmic equivalence continuum]], in that the accidental settings are similar among tunings of a particular equivalence number. Due to enharmonic equivalences, however, each tuning system can take many accidental settings. Each case shown in the tables below is only one of them. Users should choose the combination in question according to the semantics.

	Equal temperaments are shown if the corresponding edo has {1, 3, 9}-diamond consistency. Others can be notated as subsets or be extrapolated.		Equal temperaments are shown if the corresponding edo has {1, 3, 9}-diamond consistency. Others can be notated as subsets or be extrapolated.

ArrowHead294: Formatting

2024-12-03T18:51:40Z

Formatting

Show changes

ArrowHead294: ArrowHead294 moved page Syntonic-rastmic subchroma notation to Syntonic–rastmic subchroma notation: Per wikipedia:MOS:ENDASH

2024-12-03T18:47:28Z

ArrowHead294 moved page Syntonic-rastmic subchroma notation to Syntonic–rastmic subchroma notation: Per wikipedia:MOS:ENDASH

← Older revision	Revision as of 18:47, 3 December 2024
(No difference)

BudjarnLambeth: {{Notation navbox}}

2024-12-02T23:16:21Z

← Older revision		Revision as of 23:16, 2 December 2024
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	== Notes ==		== Notes ==
	<references/>		<references/>


			{{Notation navbox}}

	[[Category:Notation]]		[[Category:Notation]]

Aura at 23:20, 1 January 2024

2024-01-01T23:20:33Z

← Older revision		Revision as of 23:20, 1 January 2024
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	\| … \|\| … \|\| … \|\| …		\| … \|\| … \|\| … \|\| …
	\|}		\|}

	~~: '''Note''': The textual representation forms of the syntonic and demisyntonic accidentals need to be checked over, while the graphical forms of the demisyntonic accidentals are a work in progress.~~

	=== Rastmic and demirastmic accidentals ===		=== Rastmic and demirastmic accidentals ===

FloraC: According to the discussion on Discord, rework textual representations of syntonic and demisyntonic accidentals

2022-10-22T18:46:15Z

According to the discussion on Discord, rework textual representations of syntonic and demisyntonic accidentals

Show changes

Aura: Changed text representations of accidentals

2022-07-12T07:49:45Z

Changed text representations of accidentals

Show changes

Aura at 07:17, 12 July 2022

2022-07-12T07:17:42Z

← Older revision		Revision as of 07:17, 12 July 2022
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	The '''syntonic-rastmic subchroma notation''' is a notation scheme developed by [[Aura]] et al.<ref>Other contributors include [[Flora Canou]] and [[User:SupahstarSaga\|HEHEHE I AM A SUPAHSTAR SAGA]].</ref> that is an expansion to the [[neutral circle-of-fifths notation]].		The '''syntonic-rastmic subchroma notation''' is a notation scheme developed by [[Aura]] et al.<ref>Other contributors include [[Flora Canou]] and [[User:SupahstarSaga\|HEHEHE I AM A SUPAHSTAR SAGA]].</ref> that is an expansion to the [[neutral circle-of-fifths notation]].

	While the neutral circle-of-fifths notation models the 2.3 [[subgroup]] of [[just intonation]], with the neutral intervals capable of roughly modeling the harmonic 11, the syntonic-rastmic subchroma notation accurately captures the characteristics of the 2.3.5.11 subgroup, and is fit for a wider variety of equal temperaments and multirank temperaments. As it tries to strike a balance between the number and semantic consistency of the accidentals, it has the following three basic building blocks of accidentals: the conventional accidentals, the syntonic accidentals, and the rastmic and demirastmic accidentals, detailed below.		While the neutral circle-of-fifths notation models the 2.3 [[subgroup]] of [[just intonation]], with the neutral intervals capable of roughly modeling the harmonic 11, the syntonic-rastmic subchroma notation accurately captures the characteristics of the 2.3.5.11 subgroup, and is fit for a wider variety of equal temperaments and multirank temperaments. As it tries to strike a balance between the number and semantic consistency of the accidentals, it has the following three basic building blocks of accidentals: the conventional accidentals, the syntonic and demisyntonic accidentals, and the rastmic and demirastmic accidentals, detailed below.

	== Accidentals ==		== Accidentals ==