Erose–McClain double mode - Revision history

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2025-09-28T03:42:48Z

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	# Flatten the octave of that mode by 1 diesis		# Flatten the octave of that mode by 1 diesis

			{{Navbox scale gallery}}
	[[Category:Scales by family]]		[[Category:Scales by family]]
	[[Category:31edo]]		[[Category:31edo]]
	[[Category:7-tone scales]]		[[Category:7-tone scales]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

ArrowHead294 at 13:21, 14 March 2025

2025-03-14T13:21:02Z

← Older revision		Revision as of 13:21, 14 March 2025
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	Erose–McClain double modes are [[warped diatonic]] scales, containing strings of 6 diatonic steps, but every 7th step is slightly shortened.		Erose–McClain double modes are [[warped diatonic]] scales, containing strings of 6 diatonic steps, but every 7th step is slightly shortened.

	Double modes are [[ternary]] scales, because they posess exactly 3 step sizes. Double Lydian and double Ionian are 5L 1M 1s, the other five are 4L 1M 2s.		Double modes are [[ternary]] scales, because they posess exactly 3 step sizes. Double Lydian and double Ionian are 5L 1M 1s, the other five are 4L 1M 2s.

	== Examples ==		== Examples ==
	There are 7 ~~Erose-McClain~~ double modes:		There are 7 Erose–McClain double modes:
	* Double Lydian – 5 5 5 3 5 5 2		* Double Lydian – 5 5 5 3 5 5 2
	* Double Ionian – 5 5 3 5 5 5 2		* Double Ionian – 5 5 3 5 5 5 2
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	=== To modmos scales ===		=== To modmos scales ===
	More double modes could be constructed by using a [[modmos]] of the 5L 2s diatonic scale in 31edo.		More double modes could be constructed by using a [[modmos]] of the 5L 2s diatonic scale in 31edo.

	For example, melodic minor, harmonic minor, harmonic major, or any of their modes (rotations) could be used.		For example, melodic minor, harmonic minor, harmonic major, or any of their modes (rotations) could be used.

FloraC: FloraC moved page Erose-McClain double mode to Erose–McClain double mode

2025-03-14T11:43:09Z

FloraC moved page Erose-McClain double mode to Erose–McClain double mode

← Older revision	Revision as of 11:43, 14 March 2025
(No difference)

FloraC: Style and linking improvements

2025-03-14T11:42:37Z

Style and linking improvements

← Older revision		Revision as of 11:42, 14 March 2025
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	'''~~Erose-McClain~~ double modes''', or simply '''double modes''', are a family of [[heptatonic]] scales in [[31edo]].		'''Erose–McClain double modes''', or simply '''double modes''', are a family of [[heptatonic]] scales in [[31edo]].

	They are constructed by taking one of the modes of the ~~[[diatonic scale]] (~~[[5L 2s]]), but flattening the interval of equivalence by one [[normal diesis]], from 31\31 to 30\31. This creates a [[scale]] with [[pseudo-octave]]s.		They are constructed by taking one of the modes of the [[5L 2s\|diatonic]] scale, but flattening the interval of equivalence by one [[normal diesis]], from 31\31 to 30\31. This creates a [[scale]] with [[pseudo-octave]]s.

	The first double mode to be described was double Lydian, by [[Zhea Erose]]. The other six were described by [[Levi McClain]], who was inspired by the work of Erose, and by his own [[McClain toy piano tuning]], which resembles double Phrygian.		The first double mode to be described was double Lydian, by [[Zhea Erose]]. The other six were described by [[Levi McClain]], who was inspired by the work of Erose, and by his own [[McClain toy piano tuning]], which resembles double Phrygian.

	== Taxonomy ==		== Taxonomy ==
	~~Erose-McClain~~ double modes are [[warped diatonic]] scales, containing strings of 6 diatonic steps, but every 7th step is slightly shortened.		Erose–McClain double modes are [[warped diatonic]] scales, containing strings of 6 diatonic steps, but every 7th step is slightly shortened.

	Double modes are [[ternary]] scales, because they posess exactly 3 step sizes. Double Lydian and double ~~major~~ are 5L 1M 1s, the other five are 4L 1M 2s.		Double modes are [[ternary]] scales, because they posess exactly 3 step sizes. Double Lydian and double Ionian are 5L 1M 1s, the other five are 4L 1M 2s.

	== Examples ==		== Examples ==
	There are 7 Erose-McClain double modes:		There are 7 Erose-McClain double modes:
	* Double Lydian - 5 5 5 3 5 5 2		* Double Lydian – 5 5 5 3 5 5 2
	* Double ~~major/~~Ionian - 5 5 3 5 5 5 2		* Double Ionian – 5 5 3 5 5 5 2
	* Double Mixolydian - 5 5 3 5 5 3 4		* Double Mixolydian – 5 5 3 5 5 3 4
	* Double Dorian - 5 3 5 5 5 3 4		* Double Dorian – 5 3 5 5 5 3 4
	* Double ~~minor/~~Aeolian - 5 3 5 5 3 5 5		* Double Aeolian – 5 3 5 5 3 5 5
	* Double Phrygian - 3 5 5 5 3 5 4		* Double Phrygian – 3 5 5 5 3 5 4
	* Double Locrian - 3 5 5 3 5 5 4		* Double Locrian – 3 5 5 3 5 5 4

	When generating these in [[Scale Workshop]], you need to add a "1" at the end, then delete the last scale degree manually.		When generating these in [[Scale Workshop]], you need to add a "1" at the end, then delete the last scale degree manually.
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	The concept of double modes can be generalized to produce even more scales.		The concept of double modes can be generalized to produce even more scales.

	=== To ~~MODMOS~~ scales ===		=== To modmos scales ===
	More double modes could be constructed by using a [[~~MODMOS~~]] of the 5L 2s diatonic scale in 31edo.		More double modes could be constructed by using a [[modmos]] of the 5L 2s diatonic scale in 31edo.

	For example, melodic minor, harmonic minor, harmonic major, or any of their modes (rotations) could be used.		For example, melodic minor, harmonic minor, harmonic major, or any of their modes (rotations) could be used.

	These may not always retain all properties of ordinary double modes. For example, if the ~~MODMOS~~ itself is ternary, then the double mode may become [[quaternary]].		These may not always retain all properties of ordinary double modes. For example, if the modmos itself is ternary, then the double mode may become [[quaternary]].

	A sampling of examples (not exhaustive):		A sampling of examples (not exhaustive):
	* Double-modal harmonic minor - 5 3 5 5 3 7 2		* Double-modal harmonic minor – 5 3 5 5 3 7 2
	* Double-modal melodic minor - 5 3 5 5 5 5 2		* Double-modal melodic minor – 5 3 5 5 5 5 2
	* Double-modal harmonic major - 5 5 3 5 3 5 4		* Double-modal harmonic major – 5 5 3 5 3 5 4

	=== To other ~~EDOs~~ ===		=== To other edos ===
	Double modes could be generalized to any [[~~EDO~~]] that contains both a diatonic scale and a [[diesis (~~melodic unit~~)]] - that is, an [[interval]] in the range between 25 [[cent]]s and 45 cents.		Double modes could be generalized to any [[edo]] that contains both a diatonic scale and a [[diesis (interval region)\|diesis]] – that is, an [[interval]] in the range between 25 [[cent]]s and 45 cents.

	Double modes in other ~~EDOs~~ are constructed the same way as in 31edo - start with a diatonic mode (or ~~MODMOS~~ thereof), then flatten the octave by one diesis.		Double modes in other edos are constructed the same way as in 31edo – start with a diatonic mode (or modmos thereof), then flatten the octave by one diesis.

	If the ~~EDO~~ has multiple dieses available, then the one closest to 38.7 cents (i.e. the 31edo diesis) should be used.		If the edo has multiple dieses available, then the one closest to 38.7 cents (i.e. the 31edo diesis) should be used.

	=== To other ~~MOSes~~ ===		=== To other mos scales ===
	Double modes could be generalized to any mode of any [[~~MOS~~]] or ~~MODMOS~~ scale, especially any with around 5 to 10 tones.		Double modes could be generalized to any mode of any [[mos]] or modmos scale, especially any with around 5 to 10 tones.

	These would still be constructed the same way:		These would still be constructed the same way:
	# Generate the ~~MOS~~ or ~~MODMOS~~ scale inside an ~~EDO~~ that has a diesis		# Generate the mos or modmos scale inside an edo that has a diesis
	# Choose the desired mode of ~~MOS~~ or ~~MODMOS~~		# Choose the desired mode of mos or modmos
	# Flatten the octave of that mode by 1 diesis		# Flatten the octave of that mode by 1 diesis

	[[Category:Scales by family]][[Category:31edo]][[Category:7-tone scales]][[Category:Nonoctave]]		[[Category:Scales by family]]
			[[Category:31edo]]
			[[Category:7-tone scales]]
			[[Category:Nonoctave]]

BudjarnLambeth: /* To other EDOs */

2024-12-11T09:58:36Z

To other EDOs

← Older revision		Revision as of 09:58, 11 December 2024
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	Double modes could be generalized to any [[EDO]] that contains both a diatonic scale and a [[diesis (melodic unit)]] - that is, an [[interval]] in the range between 25 [[cent]]s and 45 cents.		Double modes could be generalized to any [[EDO]] that contains both a diatonic scale and a [[diesis (melodic unit)]] - that is, an [[interval]] in the range between 25 [[cent]]s and 45 cents.

	Double modes in other ~~scales~~ are constructed the same way as in 31edo - start with a diatonic mode (or MODMOS thereof), then flatten the octave by one diesis.		Double modes in other EDOs are constructed the same way as in 31edo - start with a diatonic mode (or MODMOS thereof), then flatten the octave by one diesis.

	If the EDO has multiple dieses available, then the one closest to 38.7 cents (i.e. the 31edo diesis) should be used.		If the EDO has multiple dieses available, then the one closest to 38.7 cents (i.e. the 31edo diesis) should be used.

BudjarnLambeth: Created page with "'''Erose-McClain double modes''', or simply '''double modes''', are a family of heptatonic scales in 31edo. They are constructed by taking one of the modes of the ..."

2024-12-11T07:27:59Z

Created page with "'''Erose-McClain double modes''', or simply '''double modes''', are a family of heptatonic scales in 31edo. They are constructed by taking one of the modes of the ..."

New page

'''Erose-McClain double modes''', or simply '''double modes''', are a family of [[heptatonic]] scales in [[31edo]].

They are constructed by taking one of the modes of the [[diatonic scale]] ([[5L 2s]]), but flattening the interval of equivalence by one [[normal diesis]], from 31\31 to 30\31. This creates a [[scale]] with [[pseudo-octave]]s.

The first double mode to be described was double Lydian, by [[Zhea Erose]]. The other six were described by [[Levi McClain]], who was inspired by the work of Erose, and by his own [[McClain toy piano tuning]], which resembles double Phrygian.

== Taxonomy ==
Erose-McClain double modes are [[warped diatonic]] scales, containing strings of 6 diatonic steps, but every 7th step is slightly shortened.

Double modes are [[ternary]] scales, because they posess exactly 3 step sizes. Double Lydian and double major are 5L 1M 1s, the other five are 4L 1M 2s.

== Examples ==
There are 7 Erose-McClain double modes:
* Double Lydian - 5 5 5 3 5 5 2
* Double major/Ionian - 5 5 3 5 5 5 2
* Double Mixolydian - 5 5 3 5 5 3 4
* Double Dorian - 5 3 5 5 5 3 4
* Double minor/Aeolian - 5 3 5 5 3 5 5
* Double Phrygian - 3 5 5 5 3 5 4
* Double Locrian - 3 5 5 3 5 5 4

When generating these in [[Scale Workshop]], you need to add a "1" at the end, then delete the last scale degree manually.

For example, to make double Lydian, enter 5 5 5 3 5 5 2 1, and after the scale generates, just manually remove the 31\31.

== Generalization ==
The concept of double modes can be generalized to produce even more scales.

=== To MODMOS scales ===
More double modes could be constructed by using a [[MODMOS]] of the 5L 2s diatonic scale in 31edo.

For example, melodic minor, harmonic minor, harmonic major, or any of their modes (rotations) could be used.

These may not always retain all properties of ordinary double modes. For example, if the MODMOS itself is ternary, then the double mode may become [[quaternary]].

A sampling of examples (not exhaustive):
* Double-modal harmonic minor - 5 3 5 5 3 7 2
* Double-modal melodic minor - 5 3 5 5 5 5 2
* Double-modal harmonic major - 5 5 3 5 3 5 4

=== To other EDOs ===
Double modes could be generalized to any [[EDO]] that contains both a diatonic scale and a [[diesis (melodic unit)]] - that is, an [[interval]] in the range between 25 [[cent]]s and 45 cents.

Double modes in other scales are constructed the same way as in 31edo - start with a diatonic mode (or MODMOS thereof), then flatten the octave by one diesis.

If the EDO has multiple dieses available, then the one closest to 38.7 cents (i.e. the 31edo diesis) should be used.

=== To other MOSes ===
Double modes could be generalized to any mode of any [[MOS]] or MODMOS scale, especially any with around 5 to 10 tones.

These would still be constructed the same way:
# Generate the MOS or MODMOS scale inside an EDO that has a diesis
# Choose the desired mode of MOS or MODMOS
# Flatten the octave of that mode by 1 diesis

[[Category:Scales by family]][[Category:31edo]][[Category:7-tone scales]][[Category:Nonoctave]]