Porcupine notation - Revision history

FloraC: + intro

2025-11-08T13:33:28Z

+ intro

← Older revision		Revision as of 13:33, 8 November 2025
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			A '''porcupine notation''' is a [[musical notation]] system designed to reflect the scale structure of the [[porcupine]] temperament, in particular the [[mos scale]]s. So far the most common porcupine notation systems are based on either Porcupine[7] or Porcupine[8].

	== Approaches ==		== Approaches ==
	=== Mike Battaglia's approach ===		=== Mike Battaglia's approach ===

FloraC: Preliminary cleanup for further expansion

2025-11-08T13:32:11Z

Preliminary cleanup for further expansion

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Fredg999: Text replacement - "Ups_and_Downs_Notation" to "Ups and downs notation"

2025-08-20T01:10:00Z

Text replacement - "Ups_and_Downs_Notation" to "Ups and downs notation"

← Older revision		Revision as of 01:10, 20 August 2025
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	== Kite Giedraitis's approach ==		== Kite Giedraitis's approach ==
	Porcupine divides the perfect 4th into 3 equal steps, thus its [[pergen\|pergen]] is (P8, P4/3). [[~~Ups_and_Downs_Notation~~\|Ups and downs]] [[~~Ups_and_Downs_Notation~~\|notation]] can be used. The generator is vM2. The enharmonic is v<span style="vertical-align: super;">3</span>A1, thus ^<span style="vertical-align: super;">3</span>C equals C#. The enharmonically equivalent alternate generator is ^^m2. The genchain is		Porcupine divides the perfect 4th into 3 equal steps, thus its [[pergen\|pergen]] is (P8, P4/3). [[Ups and downs notation\|Ups and downs]] [[Ups and downs notation\|notation]] can be used. The generator is vM2. The enharmonic is v<span style="vertical-align: super;">3</span>A1, thus ^<span style="vertical-align: super;">3</span>C equals C#. The enharmonically equivalent alternate generator is ^^m2. The genchain is

	...^1 - M2 - vM3 - ^4 - P5 - vM6 - ^m7 - <u>'''P1'''</u> - vM2 - ^m3 - P4 - v5 - ^m6 - m7 - v8...		...^1 - M2 - vM3 - ^4 - P5 - vM6 - ^m7 - <u>'''P1'''</u> - vM2 - ^m3 - P4 - v5 - ^m6 - m7 - v8...

VectorGraphics at 19:34, 16 March 2025

2025-03-16T19:34:58Z

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VectorGraphics at 19:29, 16 March 2025

2025-03-16T19:29:37Z

← Older revision		Revision as of 19:29, 16 March 2025
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	\|+		\|+
	!Note		!Note
	!Steps		!Steps of 15edo
	!Interval on C (functional name)		!Interval on C (functional name)
	\|-		\|-

VectorGraphics at 19:29, 16 March 2025

2025-03-16T19:29:15Z

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 This is the rank-2 notation, for a generator of indeterminate cents. The edo notation uses ups and downs to represent one EDO-step. If an edo tempers out porcupine, it must be sharp-3, sharp-6, sharp-9, etc. (See the scale tree on the [[EDO|EDOs]] page.) The notation is identical for sharp-3 edos (15, 22, 29, etc.). For sharp-6 edos (e.g. 30 or 72), simply double all ups and downs. The generator is vvM2. The genchain is P1 - vvM2 - ^^m3 - P4 - vv5... or C - vvD - ^^Eb - F - vvG... Sharp-9 edos are rarely used, but the generator would be v<span style="font-size: 14.4px; vertical-align: super;">3</span>M2.
 {{Navbox notation}}
 [[Category:Porcupine]]
 [[Category:Notation]]

ArrowHead294 at 18:25, 11 February 2025

2025-02-11T18:25:52Z

← Older revision		Revision as of 18:25, 11 February 2025
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	[[~~Mike_Battaglia\|~~Mike Battaglia]] posted the following description of a [[Porcupine]] notation to the Xenharmonic Alliance Facebook Group:		[[Mike Battaglia]] posted the following description of a [[Porcupine]] notation to the Xenharmonic Alliance Facebook Group:

	~~==''This is Paul's (and Herman's?) porcupine naming system which names the notes like this:''==~~

			== ''This is Paul's (and Herman's?) porcupine naming system which names the notes like this:'' ==
	''A B C D E F G H A''		''A B C D E F G H A''

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	This is the rank-2 notation, for a generator of indeterminate cents. The edo notation uses ups and downs to represent one EDO-step. If an edo tempers out porcupine, it must be sharp-3, sharp-6, sharp-9, etc. (See the scale tree on the [[EDO\|EDOs]] page.) The notation is identical for sharp-3 edos (15, 22, 29, etc.). For sharp-6 edos (e.g. 30 or 72), simply double all ups and downs. The generator is vvM2. The genchain is P1 - vvM2 - ^^m3 - P4 - vv5... or C - vvD - ^^Eb - F - vvG... Sharp-9 edos are rarely used, but the generator would be v<span style="font-size: 14.4px; vertical-align: super;">3</span>M2.		This is the rank-2 notation, for a generator of indeterminate cents. The edo notation uses ups and downs to represent one EDO-step. If an edo tempers out porcupine, it must be sharp-3, sharp-6, sharp-9, etc. (See the scale tree on the [[EDO\|EDOs]] page.) The notation is identical for sharp-3 edos (15, 22, 29, etc.). For sharp-6 edos (e.g. 30 or 72), simply double all ups and downs. The generator is vvM2. The genchain is P1 - vvM2 - ^^m3 - P4 - vv5... or C - vvD - ^^Eb - F - vvG... Sharp-9 edos are rarely used, but the generator would be v<span style="font-size: 14.4px; vertical-align: super;">3</span>M2.

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

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

ArrowHead294: ArrowHead294 moved page Porcupine Notation to Porcupine notation over redirect: Capitalisation

2024-12-04T04:47:59Z

ArrowHead294 moved page Porcupine Notation to Porcupine notation over redirect: Capitalisation

← Older revision	Revision as of 04:47, 4 December 2024
(No difference)

BudjarnLambeth: {{Notation navbox}}

2024-12-02T23:20:51Z

← Older revision		Revision as of 23:20, 2 December 2024
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	This is the rank-2 notation, for a generator of indeterminate cents. The edo notation uses ups and downs to represent one EDO-step. If an edo tempers out porcupine, it must be sharp-3, sharp-6, sharp-9, etc. (See the scale tree on the [[EDO\|EDOs]] page.) The notation is identical for sharp-3 edos (15, 22, 29, etc.). For sharp-6 edos (e.g. 30 or 72), simply double all ups and downs. The generator is vvM2. The genchain is P1 - vvM2 - ^^m3 - P4 - vv5... or C - vvD - ^^Eb - F - vvG... Sharp-9 edos are rarely used, but the generator would be v<span style="font-size: 14.4px; vertical-align: super;">3</span>M2.		This is the rank-2 notation, for a generator of indeterminate cents. The edo notation uses ups and downs to represent one EDO-step. If an edo tempers out porcupine, it must be sharp-3, sharp-6, sharp-9, etc. (See the scale tree on the [[EDO\|EDOs]] page.) The notation is identical for sharp-3 edos (15, 22, 29, etc.). For sharp-6 edos (e.g. 30 or 72), simply double all ups and downs. The generator is vvM2. The genchain is P1 - vvM2 - ^^m3 - P4 - vv5... or C - vvD - ^^Eb - F - vvG... Sharp-9 edos are rarely used, but the generator would be v<span style="font-size: 14.4px; vertical-align: super;">3</span>M2.


			{{Notation navbox}}

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

Xenllium: Clean up

2023-06-25T08:32:28Z

Clean up

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