Magic22 as srutis - Revision history

BudjarnLambeth: /* as 41edo-steps */

2026-04-29T09:31:37Z

as 41edo-steps

← Older revision		Revision as of 09:31, 29 April 2026
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	Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.		Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.

	== as 41edo-steps ==		=== as 41edo-steps ===
	Step pattern: 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2		Step pattern: 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2
	In [[cents]]:		In [[cents]]:

BudjarnLambeth at 09:31, 29 April 2026

2026-04-29T09:31:28Z

← Older revision		Revision as of 09:31, 29 April 2026
Line 17:		Line 17:

	Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.		Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.

			== as 41edo-steps ==
			Step pattern: 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2
			In [[cents]]:
			# 58.5
			# 117.1
			# 146.3
			# 204.9
			# 263.4
			# 322.0
			# 380.5
			# 439.0
			# 497.6
			# 526.8
			# 585.4
			# 643.9
			# 702.4
			# 761.0
			# 819.5
			# 878.0
			# 907.3
			# 965.9
			# 1024.4
			# 1082.9
			# 1141.5
			# 1200.0

	-----		-----

FloraC: Recategorize

2023-08-29T09:08:35Z

Recategorize

← Older revision		Revision as of 09:08, 29 August 2023
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	This gives Shrutar[22].		This gives Shrutar[22].

	[[Category:Magic]]		[[Category:Magic]]
	[[Category:22-tone scales]]		[[Category:22-tone scales]]
	[[Category:Indian]]		[[Category:Indian music]]

			{{Todo\| cleanup }}

Arseniiv: /* Shrutar[22] as srutis */ add a link to shrutar temp

2023-05-14T15:41:06Z

Shrutar[22] as srutis: add a link to shrutar temp

← Older revision		Revision as of 15:41, 14 May 2023
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	''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63594.html Original article] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.</tt>''		''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63594.html Original article] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.</tt>''

	Magic is the 22&41 temperament; we can also concoct srutis out of shrutar, the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo\|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it		Magic is the 22&41 temperament; we can also concoct srutis out of [[Diaschismic family#Shrutar\|shrutar]], the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo\|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it

	1—(2222)—9/8—(322)—5/4—(22)—4/3—(2222)—3/2—(2222)—27/16—(223)—15/8—(22)—2		1—(2222)—9/8—(322)—5/4—(22)—4/3—(2222)—3/2—(2222)—27/16—(223)—15/8—(22)—2

Arseniiv: /* Shrutar[22] as srutis */ hyphens → dashes for probable readability improvement

2023-05-14T15:33:57Z

Shrutar[22] as srutis: hyphens → dashes for probable readability improvement

← Older revision		Revision as of 15:33, 14 May 2023
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	Magic is the 22&41 temperament; we can also concoct srutis out of shrutar, the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo\|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it		Magic is the 22&41 temperament; we can also concoct srutis out of shrutar, the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo\|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it

	1-(2222)-9/8-(322)-5/4-(22)-4/3-(2222)-3/2-(2222)~~-27~~/~~16-~~(223)~~-15~~/8-(22)-2		1—(2222)—9/8—(322)—5/4—(22)—4/3—(2222)—3/2—(2222)—27/16—(223)—15/8—(22)—2

	This gives Shrutar[22].		This gives Shrutar[22].

Arseniiv: /* Magic[22] as srutis */ revived a link, simplified another, other slight edits for (hopefully) bit more readability

2023-05-14T15:32:33Z

Magic[22] as srutis: revived a link, simplified another, other slight edits for (hopefully) bit more readability

← Older revision		Revision as of 15:32, 14 May 2023
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	__FORCETOC__		__FORCETOC__
	=Magic[22] as srutis=		= Magic[22] as srutis =

	:''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63593.html#63593 Original article] by [[~~Gene_Ward_Smith\|~~Gene Ward Smith]], on the Yahoo tuning forum, is quoted here.</tt>''		:''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63593.html#63593 Original article] by [[Gene Ward Smith]], on the Yahoo tuning forum, is quoted here.</tt>''

	What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following:		What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following:

	(1) It should contain the Sa-grama, 9/~~8-5~~/~~4-4~~/~~3-3~~/~~2-27~~/~~16-15~~/~~8-2~~		(1) It should contain the Sa-grama, 9/8—5/4—4/3—3/2—27/16—15/8—2.

	(2) It should give the major whole tone, 9/8, four srutis, 10/9 three srutis, and 16/15 two srutis, hence giving the octave 22 srutis.		(2) It should give the major whole tone, 9/8, four srutis, 10/9 three srutis, and 16/15 two srutis, hence giving the octave 22 srutis.

	(3) 9/8, 10/9 and 16/15 are each always of the same size, and distinguished, with 9/8>10/9>16/15.		(3) 9/8, 10/9 and 16/15 are each always of the same size, and distinguished, with 9/8 > 10/9 > 16/15.

	Many scales fulfill these conditions, and one of the most interesting, I think, is Magic[22], the 22-note MOS of the [[~~Regular_Temperaments#magic~~\|magic temperament]]. Using the generator of 13 steps of [[41edo\|41-et]], if we take the shrutis for 10/9 to always be 222, and the srutis for 16/15 to always be 22, we are left to give three steps of size 2, and one of size 1, for the srutis given to 9/8. If we vary the pattern of doing this we can get Magic[22]:		Many scales fulfill these conditions, and one of the most interesting, I think, is Magic[22], the 22-note MOS of the [[Magic\|magic temperament]]. Using the generator of 13 steps of [[41edo\|41-et]], if we take the shrutis for 10/9 to always be 222, and the srutis for 16/15 to always be 22, we are left to give three steps of size 2, and one of size 1, for the srutis given to 9/8. If we vary the pattern of doing this we can get Magic[22]:

	1-(2212)-9/8-(222)-5/4-(22)-4/3-(1222)-3/2-(2221)~~-27~~/~~16-~~(222)~~-15~~/8-(22)-2		1—(2212)—9/8—(222)—5/4—(22)—4/3—(1222)—3/2—(2221)—27/16—(222)—15/8—(22)—2

	Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.		Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.

BudjarnLambeth: Categorised this uncategorised page

2023-04-25T11:17:40Z

Categorised this uncategorised page

← Older revision		Revision as of 11:17, 25 April 2023
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	This gives Shrutar[22].		This gives Shrutar[22].
			[[Category:Magic]]
			[[Category:22-tone scales]]
			[[Category:Indian]]

CritDeathX: /* Shrutar[22] as srutis */

2020-06-01T12:29:00Z

Shrutar[22] as srutis

← Older revision		Revision as of 12:29, 1 June 2020
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	=Shrutar[22] as srutis=		=Shrutar[22] as srutis=

	''<~~code~~>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63594.html Original article] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.</~~code~~>''		''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63594.html Original article] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.</tt>''

	Magic is the 22&41 temperament; we can also concoct srutis out of shrutar, the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo\|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it		Magic is the 22&41 temperament; we can also concoct srutis out of shrutar, the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo\|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it

CritDeathX: /* Shrutar[22] as srutis */

2020-06-01T12:28:39Z

Shrutar[22] as srutis

← Older revision		Revision as of 12:28, 1 June 2020
Line 22:		Line 22:
	=Shrutar[22] as srutis=		=Shrutar[22] as srutis=

	[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63594.html Original article] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.		''<code>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63594.html Original article] by Gene Ward Smith, on the Yahoo tuning forum, is quoted here.</code>''

	<nowiki>--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------</~~nowiki~~>

	Magic is the 22&41 temperament; we can also concoct srutis out of shrutar, the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo\|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it		Magic is the 22&41 temperament; we can also concoct srutis out of shrutar, the 22&46 temperament. We now make each 9/8 a 2222 in [[46edo\|46et]], and each 16/15 a 22. This leaves two 2 steps and a 3 step for 10/9, where we can vary the pattern. This time we make it

CritDeathX at 12:27, 1 June 2020

2020-06-01T12:27:59Z

← Older revision		Revision as of 12:27, 1 June 2020
Line 2:		Line 2:
	=Magic[22] as srutis=		=Magic[22] as srutis=

	[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63593.html#63593 Original article] by [[Gene_Ward_Smith\|Gene Ward Smith]], on the Yahoo tuning forum, is quoted here.		:''<tt>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_63593.html#63593 Original article] by [[Gene_Ward_Smith\|Gene Ward Smith]], on the Yahoo tuning forum, is quoted here.</tt>''

	<nowiki>--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------</~~nowiki~~>

	What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following:		What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following: