11ed13/9 - Revision history

Fredg999 category edits: Removing from Category:Edonoi using Cat-a-lot

2025-08-01T19:20:36Z

Removing from Category:Edonoi using Cat-a-lot

← Older revision		Revision as of 19:20, 1 August 2025
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	[[Category:Equal-step tuning]]		[[Category:Equal-step tuning]]
	~~[[Category:Edonoi]]~~

Francium: /* Related temperaments */ linked edos

2024-05-12T19:02:02Z

Related temperaments: linked edos

← Older revision		Revision as of 19:02, 12 May 2024
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	Mapping: [<1 0 -1 3 0 0\|, <0 1 1 0 2 2\|, <0 0 36 -4 6 11\|]		Mapping: [<1 0 -1 3 0 0\|, <0 1 1 0 2 2\|, <0 0 36 -4 6 11\|]

	EDOs: 62, 145, 166, 207, 311, 373, 518, 684, 829		EDOs: {{EDOs\|62, 145, 166, 207, 311, 373, 518, 684, 829}}

	===13-limit 166&311===		===13-limit 166&311===
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	Mapping: [<1 23 58 -1 52 57\|, <0 -45 -117 8 -102 -112\|]		Mapping: [<1 23 58 -1 52 57\|, <0 -45 -117 8 -102 -112\|]

	EDOs: 145, 166, 311, 456f, 477c		EDOs: {{EDOs\|145, 166, 311, 456f, 477c}}

	Badness: 0.0401		Badness: 0.0401

Plumtree: Infobox ET added

2022-10-05T20:16:41Z

Infobox ET added

← Older revision		Revision as of 20:16, 5 October 2022
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			{{Infobox ET}}
	'''11ED13/9''' is the [[Equal-step tuning\|equal division]] of the tridecimal high tritone ([[13/9]]) into eleven parts of 57.8743 [[cent\|cents]] each, corresponding to 20.7346 [[EDO\|edo]]. It is related to 13-limit temperaments which temper out 10648/10647, 41503/41472, and 59535/59488.		'''11ED13/9''' is the [[Equal-step tuning\|equal division]] of the tridecimal high tritone ([[13/9]]) into eleven parts of 57.8743 [[cent\|cents]] each, corresponding to 20.7346 [[EDO\|edo]]. It is related to 13-limit temperaments which temper out 10648/10647, 41503/41472, and 59535/59488.

Cmloegcmluin: /* Related temperament */ map → mapping

2021-11-05T23:34:02Z

Related temperament: map → mapping

← Older revision		Revision as of 23:34, 5 November 2021
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	\|}		\|}

	==Related ~~temperament~~==		==Related temperaments==
	===13-limit 166&311&373===		===13-limit 166&311&373===
	Commas: 10648/10647, 41503/41472, 59535/59488		Commas: 10648/10647, 41503/41472, 59535/59488
Line 371:		Line 371:
	POTE generators: ~3/2 = 701.805, ~91/88 = 57.897		POTE generators: ~3/2 = 701.805, ~91/88 = 57.897

	~~Map~~: [<1 0 -1 3 0 0\|, <0 1 1 0 2 2\|, <0 0 36 -4 6 11\|]		Mapping: [<1 0 -1 3 0 0\|, <0 1 1 0 2 2\|, <0 0 36 -4 6 11\|]

	EDOs: 62, 145, 166, 207, 311, 373, 518, 684, 829		EDOs: 62, 145, 166, 207, 311, 373, 518, 684, 829
Line 380:		Line 380:
	POTE generator: 571.061		POTE generator: 571.061

	~~Map~~: [<1 23 58 -1 52 57\|, <0 -45 -117 8 -102 -112\|]		Mapping: [<1 23 58 -1 52 57\|, <0 -45 -117 8 -102 -112\|]

	EDOs: 145, 166, 311, 456f, 477c		EDOs: 145, 166, 311, 456f, 477c

Xenllium: /* Related temperament */

2019-01-31T08:46:44Z

Related temperament

← Older revision		Revision as of 08:46, 31 January 2019
Line 366:		Line 366:

	==Related temperament==		==Related temperament==
			===13-limit 166&311&373===
			Commas: 10648/10647, 41503/41472, 59535/59488

			POTE generators: ~3/2 = 701.805, ~91/88 = 57.897

			Map: [<1 0 -1 3 0 0\|, <0 1 1 0 2 2\|, <0 0 36 -4 6 11\|]

			EDOs: 62, 145, 166, 207, 311, 373, 518, 684, 829

	===13-limit 166&311===		===13-limit 166&311===
	Commas: 1575/1573, 2080/2079, 2200/2197, 35035/34992		Commas: 1575/1573, 2080/2079, 2200/2197, 35035/34992

Xenllium: minor edit

2019-01-31T07:18:38Z

minor edit

← Older revision		Revision as of 07:18, 31 January 2019
Line 1:		Line 1:
	'''11ED13/9''' is the [[Equal-step tuning\|equal division]] of the tridecimal high tritone ([[13/9]]) into eleven parts of 57.8743 [[cent\|cents]] each, corresponding to 20.7346 [[EDO\|edo]]. It is related to 13-limit temperaments which temper out 10648/10647 ~~and~~ 41503/41472.		'''11ED13/9''' is the [[Equal-step tuning\|equal division]] of the tridecimal high tritone ([[13/9]]) into eleven parts of 57.8743 [[cent\|cents]] each, corresponding to 20.7346 [[EDO\|edo]]. It is related to 13-limit temperaments which temper out 10648/10647, 41503/41472, and 59535/59488.

	==Intervals==		==Intervals==

Xenllium at 07:05, 31 January 2019

2019-01-31T07:05:08Z

← Older revision		Revision as of 07:05, 31 January 2019
Line 1:		Line 1:
	'''11ED13/9''' is the [[Equal-step tuning\|equal division]] of the tridecimal high tritone ([[13/9]]) into eleven parts of 57.8743 [[cent\|cents]] each, corresponding to 20.7346 [[EDO\|edo]]. It is related to ~~the~~ 13-limit ~~temperament~~ which ~~tempers~~ out ~~1575~~/~~1573, 2080/2079, 2200/2197,~~ and ~~35035~~/~~34992~~.		'''11ED13/9''' is the [[Equal-step tuning\|equal division]] of the tridecimal high tritone ([[13/9]]) into eleven parts of 57.8743 [[cent\|cents]] each, corresponding to 20.7346 [[EDO\|edo]]. It is related to 13-limit temperaments which temper out 10648/10647 and 41503/41472.

	==Intervals==		==Intervals==

Xenllium: Created page with "'''11ED13/9''' is the equal division of the tridecimal high tritone (13/9) into eleven parts of 57.8743 cents each, corresponding to 20.7346..."

2019-01-30T23:41:10Z

Created page with "'''11ED13/9''' is the equal division of the tridecimal high tritone (13/9) into eleven parts of 57.8743 cents each, corresponding to 20.7346..."

New page

'''11ED13/9''' is the [[Equal-step tuning|equal division]] of the tridecimal high tritone ([[13/9]]) into eleven parts of 57.8743 [[cent|cents]] each, corresponding to 20.7346 [[EDO|edo]]. It is related to the 13-limit temperament which tempers out 1575/1573, 2080/2079, 2200/2197, and 35035/34992.

==Intervals==
{| class="wikitable"
|-
! | degree
! | cents value
! | ratio
|-
| | 0
| | 0.0000
| | '''[[1/1]]'''
|-
| | 1
| | 57.8743
| | (13/9)1/11
|-
| | 2
| | 115.7487
| | (13/9)2/11
|-
| | 3
| | 173.6230
| | (13/9)3/11
|-
| | 4
| | 231.4973
| | (13/9)4/11
|-
| | 5
| | 289.3717
| | (13/9)5/11
|-
| | 6
| | 347.2460
| | (13/9)6/11
|-
| | 7
| | 405.1203
| | (13/9)7/11
|-
| | 8
| | 462.9947
| | (13/9)8/11
|-
| | 9
| | 520.8690
| | (13/9)9/11
|-
| | 10
| | 578.7433
| | (13/9)10/11
|-
| | 11
| | 636.6177
| | '''[[13/9]]'''
|-
| | 12
| | 694.4920
| | (13/9)12/11
|-
| | 13
| | 752.3663
| | (13/9)13/11
|-
| | 14
| | 810.2407
| | (13/9)14/11
|-
| | 15
| | 868.1150
| | (13/9)15/11
|-
| | 16
| | 925.9893
| | (13/9)16/11
|-
| | 17
| | 983.8637
| | (13/9)17/11
|-
| | 18
| | 1041.7380
| | (13/9)18/11
|-
| | 19
| | 1099.6123
| | (13/9)19/11
|-
| | 20
| | 1157.4867
| | (13/9)20/11
|-
| | 21
| | 1215.3610
| | (13/9)21/11
|-
| | 22
| | 1273.2353
| | (13/9)2 = 169/81
|-
| | 23
| | 1331.1097
| | (13/9)23/11
|-
| | 24
| | 1388.9840
| | (13/9)24/11
|-
| | 25
| | 1446.8583
| | (13/9)25/11
|-
| | 26
| | 1504.7327
| | (13/9)26/11
|-
| | 27
| | 1562.6070
| | (13/9)27/11
|-
| | 28
| | 1620.4813
| | (13/9)28/11
|-
| | 29
| | 1678.3556
| | (13/9)29/11
|-
| | 30
| | 1736.2300
| | (13/9)30/11
|-
| | 31
| | 1794.1043
| | (13/9)31/11
|-
| | 32
| | 1851.9786
| | (13/9)32/11
|-
| | 33
| | 1909.8530
| | (13/9)3 = 2197/729
|-
| | 34
| | 1967.7273
| | (13/9)34/11
|-
| | 35
| | 2025.6016
| | (13/9)35/11
|-
| | 36
| | 2083.4760
| | (13/9)36/11
|-
| | 37
| | 2141.3503
| | (13/9)37/11
|-
| | 38
| | 2199.2246
| | (13/9)38/11
|-
| | 39
| | 2257.0990
| | (13/9)39/11
|-
| | 40
| | 2314.9733
| | (13/9)40/11
|-
| | 41
| | 2372.8476
| | (13/9)41/11
|-
| | 42
| | 2430.7220
| | (13/9)42/11
|-
| | 43
| | 2488.5963
| | (13/9)43/11
|-
| | 44
| | 2546.4706
| | (13/9)4 = 28561/6561
|-
| | 45
| | 2604.3450
| | (13/9)45/11
|-
| | 46
| | 2662.2193
| | (13/9)46/11
|-
| | 47
| | 2720.0936
| | (13/9)47/11
|-
| | 48
| | 2777.9680
| | (13/9)48/11
|-
| | 49
| | 2835.8423
| | (13/9)49/11
|-
| | 50
| | 2893.7166
| | (13/9)50/11
|-
| | 51
| | 2951.5910
| | (13/9)51/11
|-
| | 52
| | 3009.4653
| | (13/9)52/11
|-
| | 53
| | 3067.3396
| | (13/9)53/11
|-
| | 54
| | 3125.2140
| | (13/9)54/11
|-
| | 55
| | 3183.0883
| | (13/9)5 = 371293/59049
|-
| | 56
| | 3240.9626
| | (13/9)56/11
|-
| | 57
| | 3298.8370
| | (13/9)57/11
|-
| | 58
| | 3356.7113
| | (13/9)58/11
|-
| | 59
| | 3414.5856
| | (13/9)59/11
|-
| | 60
| | 3472.4600
| | (13/9)60/11
|-
| | 61
| | 3530.3343
| | (13/9)61/11
|-
| | 62
| | 3588.2086
| | (13/9)62/11
|-
| | 63
| | 3646.0830
| | (13/9)63/11
|-
| | 64
| | 3703.9573
| | (13/9)64/11
|-
| | 65
| | 3761.8316
| | (13/9)65/11
|-
| | 66
| | 3819.7060
| | (13/9)6 = 4826809/531441
|-
| | 67
| | 3877.5803
| | (13/9)67/11
|-
| | 68
| | 3935.4546
| | (13/9)68/11
|-
| | 69
| | 3993.3290
| | (13/9)69/11
|-
| | 70
| | 4051.2033
| | (13/9)70/11
|-
| | 71
| | 4109.0776
| | (13/9)71/11
|-
| | 72
| | 4166.9520
| | (13/9)72/11
|-
| | 73
| | 4224.8263
| | (13/9)73/11
|-
| | 74
| | 4282.7006
| | (13/9)74/11
|-
| | 75
| | 4340.5750
| | (13/9)75/11
|-
| | 76
| | 4398.4493
| | (13/9)76/11
|-
| | 77
| | 4456.3236
| | (13/9)7 = 62748517/4782969
|-
| | 78
| | 4514.1980
| | (13/9)78/11
|-
| | 79
| | 4572.0723
| | (13/9)79/11
|-
| | 80
| | 4629.9466
| | (13/9)80/11
|-
| | 81
| | 4687.8210
| | (13/9)81/11
|-
| | 82
| | 4745.6953
| | (13/9)82/11
|-
| | 83
| | 4803.5696
| | (13/9)83/11
|-
| | 84
| | 4861.4439
| | (13/9)84/11
|-
| | 85
| | 4919.3183
| | (13/9)85/11
|-
| | 86
| | 4977.1926
| | (13/9)86/11
|-
| | 87
| | 5035.0669
| | (13/9)87/11
|-
| | 88
| | 5092.9413
| | (13/9)8 = 815730721/43046721
|}

==Related temperament==
===13-limit 166&311===
Commas: 1575/1573, 2080/2079, 2200/2197, 35035/34992

POTE generator: 571.061

Map: [<1 23 58 -1 52 57|, <0 -45 -117 8 -102 -112|]

EDOs: 145, 166, 311, 456f, 477c

Badness: 0.0401

[[Category:Equal-step tuning]]
[[Category:Edonoi]]