User:BudjarnLambeth/Breuddwyd scale - Revision history

BudjarnLambeth: Editable mbox

2025-03-18T02:22:03Z

Editable mbox

← Older revision		Revision as of 02:22, 18 March 2025
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	{{Novelty}}		{{Novelty}}
			{{Editable user page\|Feel free to add examples of music made with these scales, and feel free to add any new scales, approaches or other concepts you develop based on these ideas.}}

Lériendil: Lériendil moved page Breuddwyd scale to User:BudjarnLambeth/Breuddwyd scale: page seems to be of sufficient "novelty" status to belong on a userpage, following the precedent of EDKL

2025-03-17T22:11:01Z

Lériendil moved page Breuddwyd scale to User:BudjarnLambeth/Breuddwyd scale: page seems to be of sufficient "novelty" status to belong on a userpage, following the precedent of EDKL

← Older revision	Revision as of 22:11, 17 March 2025
(No difference)

BudjarnLambeth: /* Wijzerplaat scales */

2025-01-04T12:12:44Z

Wijzerplaat scales

← Older revision		Revision as of 12:12, 4 January 2025
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	All of these scales are tempered by definition. Sometimes multiple scales may generate the same tone, which is why when one combines an x-tone, y-tone and z-tone scale, the total number of tones/octave may still be less than (x+y+z).		All of these scales are tempered by definition. Sometimes multiple scales may generate the same tone, which is why when one combines an x-tone, y-tone and z-tone scale, the total number of tones/octave may still be less than (x+y+z).

	This list is not exhaustive. There are many other possible wijzerplaat scales.		This list is not exhaustive. There are many other possible wijzerplaat scales.

	~~The scale names are [[Template:Idiosyncratic\|idiosyncratic]]~~.

	{\| class="wikitable sortable mw-collapsible"}}		{\| class="wikitable sortable mw-collapsible"}}

BudjarnLambeth at 11:49, 4 January 2025

2025-01-04T11:49:27Z

← Older revision		Revision as of 11:49, 4 January 2025
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	! 7 integer limit intervals approximated within 15¢		! 7 integer limit intervals approximated within 15¢
	\|-		\|-
	\| <small>PolyMOS <5\31(u2d0), <11\31(u0d4), 13\31(u1d3)> </small><br>(''Oclock'')		\| <small>PolyMOS <5\31(u2d0), <11\31(u0d4), 13\31(u1d3)> </small><br>(''Oclock'') <br><br>'''Main article: [[Oclock]]'''
	\| [[31edo]]		\| [[31edo]]
	\| [[:Category:9-tone scales\|9 tones]] per 31\31 [[Category:9-tone scales]]		\| [[:Category:9-tone scales\|9 tones]] per 31\31 [[Category:9-tone scales]]

BudjarnLambeth at 11:21, 4 January 2025

2025-01-04T11:21:54Z

← Older revision		Revision as of 11:21, 4 January 2025
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	\|+ The wijzerplaat scales		\|+ The wijzerplaat scales
	\|-		\|-
	! ~~Name~~		! Systematic name <br>(& idiosyncratic common name)
	! Parent tuning used		! Parent tuning used
	! Tones per period used		! Tones per period used
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	! 7 integer limit intervals approximated within 15¢		! 7 integer limit intervals approximated within 15¢
	\|-		\|-
	\| PolyMOS <5\31(~~up2down0~~), <~~br>~~11\31(~~up0down4~~), ~~<br>~~13\31(~~up1down3~~)>		\| <small>PolyMOS <5\31(u2d0), <11\31(u0d4), 13\31(u1d3)> </small><br>(''Oclock'')
	\| [[31edo]]		\| [[31edo]]
	\| [[:Category:9-tone scales\|9 tones]] per 31\31 [[Category:9-tone scales]]		\| [[:Category:9-tone scales\|9 tones]] per 31\31 [[Category:9-tone scales]]

BudjarnLambeth: /* Wijzerplaat scales */

2025-01-04T08:57:52Z

Wijzerplaat scales

← Older revision		Revision as of 08:57, 4 January 2025
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	\| 5 4 1 3 5 2 3 6 2		\| 5 4 1 3 5 2 3 6 2
	\| 3(mos), 5(mos), 5(mos)		\| 3(mos), 5(mos), 5(mos)
	\| 2:2, <br>0:2, <br>1:1		\| 2:0, <br>0:4, <br>1:3
	\| <small>5/4, 4/3, 3/2, 5/3, 2/1, 5/2, 3/1, 4/1, 5/1, 6/1</small>		\| <small>5/4, 4/3, 3/2, 5/3, 2/1, 5/2, 3/1, 4/1, 5/1, 6/1</small>
	\|}		\|}

	[[Category:Scales by family]]		[[Category:Scales by family]]

BudjarnLambeth: /* Wijzerplaat scales */

2025-01-04T08:57:09Z

Wijzerplaat scales

← Older revision		Revision as of 08:57, 4 January 2025
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	== Wijzerplaat scales ==		== Wijzerplaat scales ==
	All of these scales are tempered by definition. Sometimes multiple scales may generate the same tone, which is why when ~~you combine~~ an x-tone, y-tone and z-tone ~~MOS~~, the total number of tones/octave may still be less than (x+y+z).		All of these scales are tempered by definition. Sometimes multiple scales may generate the same tone, which is why when one combines an x-tone, y-tone and z-tone scale, the total number of tones/octave may still be less than (x+y+z).

	This list is not exhaustive. There are many other possible wijzerplaat scales.		This list is not exhaustive. There are many other possible wijzerplaat scales.
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	! Tones per period used		! Tones per period used
	! Scale pattern		! Scale pattern
	! Tones generated by 5\31, 11\31, 13\31 (mos or ~~not~~?)		! Tones generated by 5\31, 11\31, 13\31 (mos or no?)
	! 5\31 generators up:down, <br>11\31 up:down, <br>13\31 up:down		! 5\31 generators up:down, <br>11\31 up:down, <br>13\31 up:down
	! 7 integer limit intervals approximated within 15¢		! 7 integer limit intervals approximated within 15¢
	\|-		\|-
	\| PolyMOS <5\31(~~up2down2~~), <br>11\31(~~up0down2~~), <br>13\31(~~up1down1~~)>		\| PolyMOS <5\31(up2down0), <br>11\31(up0down4), <br>13\31(up1down3)>
	\| [[31edo]]		\| [[31edo]]
	\| [[:Category:9-tone scales\|9 tones]] per 31\31 [[Category:9-tone scales]]		\| [[:Category:9-tone scales\|9 tones]] per 31\31 [[Category:9-tone scales]]
	\| 5 4 1 3 5 2 ~~1 5 5~~		\| 5 4 1 3 5 2 3 6 2
	\| 5(mos), 3(mos), 3(mos)		\| 3(mos), 5(mos), 5(mos)
	\| 2:2, <br>0:2, <br>1:1		\| 2:2, <br>0:2, <br>1:1
	\| <small>5/4, 4/3, 3/2, 2/1, 5/2, 3/1, 4/1, 5/1, 6/1</small>		\| <small>5/4, 4/3, 3/2, 5/3, 2/1, 5/2, 3/1, 4/1, 5/1, 6/1</small>
	\|}		\|}

	[[Category:Scales by family]]		[[Category:Scales by family]]

BudjarnLambeth at 08:38, 4 January 2025

2025-01-04T08:38:46Z

← Older revision		Revision as of 08:38, 4 January 2025
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	A '''sonhar tuning'''{{idiosyncratic}} (''pronounced "sonyar"'') is any scale or [[temperament]] which uses or approximates the JI [[subgroup]] 5.11.13.31.		A '''sonhar tuning'''{{idiosyncratic}} (''pronounced "sonyar"'') is any scale or [[temperament]] which uses or approximates the JI [[subgroup]] 5.11.13.31.

	A '''wijzerplaat scale'''{{idiosyncratic}} (''pronounced "why, ser as in deserve, plat as in platypus"'') is any scale which is built by combining a ~~[[MOS~~ scale]] generated by 5\31, a ~~MOS~~ scale generated by 11\31, and a ~~MOS~~ scale generated by 13\31. (''Where n\31 is n steps of [[31edo]] or another 31-tone [[equal tuning]]''.)		A '''wijzerplaat scale'''{{idiosyncratic}} (''pronounced "why, ser as in deserve, plat as in platypus"'') is any scale which is built by combining a scale generated by 5\31, a scale generated by 11\31, and a scale generated by 13\31. (''Where n\31 is n steps of [[31edo]] or another 31-tone [[equal tuning]]''.) Often but not always the three scales are [[MOS scale]]s.

	== History and etymology ==		== History and etymology ==
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	== Wijzerplaat scales ==		== Wijzerplaat scales ==
	All of these scales are tempered by definition. Sometimes multiple ~~MOSes~~ may generate the same tone, which is why when you combine an x-tone, y-tone and z-tone MOS, the total number of tones/octave may still be less than (x+y+z).		All of these scales are tempered by definition. Sometimes multiple scales may generate the same tone, which is why when you combine an x-tone, y-tone and z-tone MOS, the total number of tones/octave may still be less than (x+y+z).

	This list is not exhaustive. There are many other possible wijzerplaat scales.		This list is not exhaustive. There are many other possible wijzerplaat scales.
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	! Tones per period used		! Tones per period used
	! Scale pattern		! Scale pattern
	! Tones generated by 5\31, 11\31, 13\31		! Tones generated by 5\31, 11\31, 13\31 (mos or not?)
	! 5\31 generators up:down, <br>11\31 up:down, <br>13\31 up:down		! 5\31 generators up:down, <br>11\31 up:down, <br>13\31 up:down
	! 7 integer limit intervals approximated within 15¢		! 7 integer limit intervals approximated within 15¢
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	\| [[:Category:9-tone scales\|9 tones]] per 31\31 [[Category:9-tone scales]]		\| [[:Category:9-tone scales\|9 tones]] per 31\31 [[Category:9-tone scales]]
	\| 5 4 1 3 5 2 1 5 5		\| 5 4 1 3 5 2 1 5 5
	\| 5, 3, 3		\| 5(mos), 3(mos), 3(mos)
	\| 2:2, <br>0:2, <br>1:1		\| 2:2, <br>0:2, <br>1:1
	\| <small>5/4, 4/3, 3/2, 2/1, 5/2, 3/1, 4/1, 5/1, 6/1</small>		\| <small>5/4, 4/3, 3/2, 2/1, 5/2, 3/1, 4/1, 5/1, 6/1</small>

BudjarnLambeth: /* Breuddwyd scales */

2025-01-04T08:08:02Z

Breuddwyd scales

← Older revision		Revision as of 08:08, 4 January 2025
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	\| <small>The scale of all [[rational interval]]s with 5, 11, 13 or 31 in the denominator</small>		\| <small>The scale of all [[rational interval]]s with 5, 11, 13 or 31 in the denominator</small>
	\| [[22165afdo]]		\| [[22165afdo]]
	\| <small>7/6, 6/5, 5/4, 4/3 (weak), 7/5, 3/2 (weak), 5/3, 7/4, 2/1, 7/3, 5/2, 3/1 (weak), 7/2, 4/1, 5/1, 6/1 (weak), 7/1</small>		\| <small>7/6, 6/5, 5/4, 4/3 (weak), 7/5, 3/2 (very weak), 5/3, 7/4, 2/1, 7/3, 5/2, 3/1 (very weak), 7/2, 4/1, 5/1, 6/1 (very weak), 7/1</small>
	\|-		\|-
	\| 5&11&13&31ifdo <br>(''Breuddwyd inverse'') <br><br>'''Main article: [[Breuddwyd inverse]]'''		\| 5&11&13&31ifdo <br>(''Breuddwyd inverse'') <br><br>'''Main article: [[Breuddwyd inverse]]'''
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	\| <small>The scale of all [[rational interval]]s with 5, 11, 13 or 31, or any of their octave multiples (e.g. 10, 22, 26, 62 or 20, 44, 52, 124 or so on) in the numerator</small>		\| <small>The scale of all [[rational interval]]s with 5, 11, 13 or 31, or any of their octave multiples (e.g. 10, 22, 26, 62 or 20, 44, 52, 124 or so on) in the numerator</small>
	\| [[22165ifdo]]		\| [[22165ifdo]]
	\| <small>7/6, 6/5, 5/4, 4/3 (weak), 7/5, 3/2 (weak), 5/3, 7/4, 2/1, 7/3, 5/2, 3/1 (weak), 7/2, 4/1, 5/1, 6/1 (weak), 7/1</small>		\| <small>7/6, 6/5, 5/4, 4/3 (very weak), 7/5, 3/2 (weak), 5/3, 7/4, 2/1, 7/3, 5/2, 3/1 (weak), 7/2, 4/1, 5/1, 6/1 (weak), 7/1</small>
	\|-		\|-
	\| 5&11&13&31edo <br>(''Breuddwyd-2'')		\| 5&11&13&31edo <br>(''Breuddwyd-2'')

BudjarnLambeth: /* Breuddwyd scales */

2025-01-04T07:55:48Z

Breuddwyd scales

← Older revision		Revision as of 07:55, 4 January 2025
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	\| <small>7/6, 6/5, 5/4, 4/3 (weak), 7/5, 3/2 (weak), 5/3, 7/4, 2/1, 7/3, 5/2, 3/1 (weak), 7/2, 4/1, 5/1, 6/1 (weak), 7/1</small>		\| <small>7/6, 6/5, 5/4, 4/3 (weak), 7/5, 3/2 (weak), 5/3, 7/4, 2/1, 7/3, 5/2, 3/1 (weak), 7/2, 4/1, 5/1, 6/1 (weak), 7/1</small>
	\|-		\|-
	\| 5&11&13&31ifdo <br>(''Breuddwyd inverse'')		\| 5&11&13&31ifdo <br>(''Breuddwyd inverse'') <br><br>'''Main article: [[Breuddwyd inverse]]'''
	\| Just		\| Just
	\| 2/1		\| 2/1