32afdo - Revision history

BudjarnLambeth: /* Scales */

2026-04-14T02:16:27Z

Scales

← Older revision		Revision as of 02:16, 14 April 2026
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	{{Idiosyncratic terms\|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him}}		{{Idiosyncratic terms\|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him}}

			* 32:34:36:38:40:43:44:48:52:54:56:58:60:64 ''loose approximation of [[fluid just intonation]]''
	* 32:40:43:48:57:64 Arcade		* 32:40:43:48:57:64 Arcade
	* 32:43:48:51:57:64 Cosmic		* 32:43:48:51:57:64 Cosmic
	* 32:34:36:38:40:43:44:48:52:54:56:58:60:64 ''loose approximation of [[fluid just intonation]]''
	* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in 32afdo)		* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in 32afdo)

BudjarnLambeth: /* Scales */

2026-04-14T02:16:00Z

Scales

← Older revision		Revision as of 02:16, 14 April 2026
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	* 32:40:43:48:57:64 Arcade		* 32:40:43:48:57:64 Arcade
	* 32:43:48:51:57:64 Cosmic		* 32:43:48:51:57:64 Cosmic
	* 32:34:36:38:40:43:44:48:52:54:56:58:60:64		* 32:34:36:38:40:43:44:48:52:54:56:58:60:64 ''loose approximation of [[fluid just intonation]]''
	''loose approximation of [[fluid just intonation]]''
	* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in 32afdo)		* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in 32afdo)

BudjarnLambeth: /* Scales */ Same changes with same reasoning as made to 8afdo today

2026-04-14T02:15:49Z

Scales: Same changes with same reasoning as made to 8afdo today

← Older revision		Revision as of 02:15, 14 April 2026
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	== Scales ==		== Scales ==
	{{See also\| 5- to 10-tone scales from the modes of the harmonic series }}		{{See also\| 5- to 10-tone scales from the modes of the harmonic series }}
			{{Idiosyncratic terms\|Most of these names were coined, and are solely used, by [[Budjarn Lambeth]] - however he was only the first to ''name'' many of these scales, others have probably already ''used'' them before him}}

	* ~~Arcade{{idio}}~~: ~~{{dash\|~~40~~/32,~~ 43~~/32,~~ 48~~/32,~~ 57~~/32,~~ 64~~/32\|med}}~~		* 32:40:43:48:57:64 Arcade
	* ~~Cosmic{{idio}}~~: ~~{{dash\|~~43~~/32,~~ 48~~/32,~~ 51~~/32,~~ 57/32, 64~~/32\|med}}~~		* 32:43:48:51:57:64 Cosmic
	* ''~~Loose~~ approximation of [[fluid just intonation]]''~~: 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1~~		* 32:34:36:38:40:43:44:48:52:54:56:58:60:64
	* [[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]] (most of these are in 32afdo)		''loose approximation of [[fluid just intonation]]''
			* ''[[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]]'' (most of these are in 32afdo)

	== Music ==		== Music ==

BudjarnLambeth: See also

2026-04-14T02:04:45Z

BudjarnLambeth: /* Scales */ add 1

2025-11-11T10:30:33Z

Scales: add 1

← Older revision		Revision as of 10:30, 11 November 2025
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	* Cosmic{{idio}}: {{dash\|43/32, 48/32, 51/32, 57/32, 64/32\|med}}		* Cosmic{{idio}}: {{dash\|43/32, 48/32, 51/32, 57/32, 64/32\|med}}
	* ''Loose approximation of [[fluid just intonation]]'': 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1		* ''Loose approximation of [[fluid just intonation]]'': 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1
			* [[User:BudjarnLambeth/Some tunings for Japanese scales#Over-2]] (most of these are in 32afdo)

	== Music ==		== Music ==
	; [[Adam Neely]]		; [[Adam Neely]]
	* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17		* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17

BudjarnLambeth: /* Scales */

2025-10-01T02:22:12Z

Scales

← Older revision		Revision as of 02:22, 1 October 2025
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	{{See also\| 5- to 10-tone scales from the modes of the harmonic series }}		{{See also\| 5- to 10-tone scales from the modes of the harmonic series }}

	* Arcade: {{dash\|40/32, 43/32, 48/32, 57/32, 64/32\|med}}		* Arcade{{idio}}: {{dash\|40/32, 43/32, 48/32, 57/32, 64/32\|med}}
	* Cosmic: {{dash\|43/32, 48/32, 51/32, 57/32, 64/32\|med}}		* Cosmic{{idio}}: {{dash\|43/32, 48/32, 51/32, 57/32, 64/32\|med}}
	* ''Loose approximation of [[fluid just intonation]]'': 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1		* ''Loose approximation of [[fluid just intonation]]'': 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1

BudjarnLambeth: /* Scales */

2025-03-28T03:28:36Z

Scales

← Older revision		Revision as of 03:28, 28 March 2025
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	* Arcade: {{dash\|40/32, 43/32, 48/32, 57/32, 64/32\|med}}		* Arcade: {{dash\|40/32, 43/32, 48/32, 57/32, 64/32\|med}}
	* Cosmic: {{dash\|43/32, 48/32, 51/32, 57/32, 64/32\|med}}		* Cosmic: {{dash\|43/32, 48/32, 51/32, 57/32, 64/32\|med}}
	* ''Loose approximation of [[fluid just intonation]]'': 17/~~16-9~~/~~8-19~~/~~16-5~~/~~4-43~~/~~32-11~~/~~8-3~~/~~2-13~~/~~8-27~~/~~16-7~~/~~4-29~~/~~16-15~~/~~8-2~~/1		* ''Loose approximation of [[fluid just intonation]]'': 17/16—9/8—19/16—5/4—43/32—11/8—3/2—13/8—27/16—7/4—29/16—15/8—2/1

	== Music ==		== Music ==
	; [[Adam Neely]]		; [[Adam Neely]]
	* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17		* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17

BudjarnLambeth: /* Scales */ added 1

2025-03-28T03:27:32Z

Scales: added 1

← Older revision		Revision as of 03:27, 28 March 2025
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	* Arcade: {{dash\|40/32, 43/32, 48/32, 57/32, 64/32\|med}}		* Arcade: {{dash\|40/32, 43/32, 48/32, 57/32, 64/32\|med}}
	* Cosmic: {{dash\|43/32, 48/32, 51/32, 57/32, 64/32\|med}}		* Cosmic: {{dash\|43/32, 48/32, 51/32, 57/32, 64/32\|med}}
			* ''Loose approximation of [[fluid just intonation]]'': 17/16-9/8-19/16-5/4-43/32-11/8-3/2-13/8-27/16-7/4-29/16-15/8-2/1

	== Music ==		== Music ==
	; [[Adam Neely]]		; [[Adam Neely]]
	* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17		* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17

FloraC: +subsets and supersets

2025-02-23T11:29:51Z

+subsets and supersets

← Older revision		Revision as of 11:29, 23 February 2025
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	{{Infobox AFDO\|steps=32}}		{{Infobox AFDO\|steps=32}}

	'''32afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''32odo''' ([[otonal division]] of the octave), divides the octave into 32 parts of 1/32 each. As a scale it may be known as [[Harmonic mode\|mode 32 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-32]] scale.		'''32afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''32odo''' ([[otonal division]] of the octave), divides the octave into 32 parts of 1/32 each. It is a superset of [[31afdo]] and a subset of [[33afdo]]. As a scale it may be known as [[Harmonic mode\|mode 32 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-32]] scale.

	The smallest [[~~EDO~~]] that maintains 25% or lower relative error on all intervals of 32afdo is [[3159811edo]].		The smallest [[edo]] that maintains 25% or lower relative error on all intervals of 32afdo is [[3159811edo]].

	== Intervals ==		== Intervals ==
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	== Music ==		== Music ==
	* [https://www.youtube.com/watch?v=tMSXdCWbRHw How to See Ghosts (demonstration piece)~~] by [[Adam Neely]~~] (2018) ~~–~~ The piece starts at 10:17		; [[Adam Neely]]
			* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17

ArrowHead294 at 12:02, 12 February 2025

2025-02-12T12:02:39Z

← Older revision		Revision as of 12:02, 12 February 2025
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	'''32afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''32odo''' ([[otonal division]] of the octave), divides the octave into 32 parts of 1/32 each. As a scale it may be known as [[Harmonic mode\|mode 32 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-32]] scale.		'''32afdo''' ([[AFDO\|arithmetic frequency division of the octave]]), or '''32odo''' ([[otonal division]] of the octave), divides the octave into 32 parts of 1/32 each. As a scale it may be known as [[Harmonic mode\|mode 32 of the harmonic series]] or the [[Overtone scale #Over-n scales\|Over-32]] scale.

			The smallest [[EDO]] that maintains 25% or lower relative error on all intervals of 32afdo is [[3159811edo]].

	== Intervals ==		== Intervals ==

← Older revision		Revision as of 02:04, 14 April 2026
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	; [[Adam Neely]]		; [[Adam Neely]]
	* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17		* [https://www.youtube.com/watch?v=tMSXdCWbRHw ''How to See Ghosts'' (demonstration piece)] (2018) – The piece starts at 10:17

			== See also ==
			* [[8afdo]]
			* [[16afdo]]