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| __FORCETOC__
| | #redirect [[Indian music #Shruti]] |
| = Magic[22] as srutis =
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| :''<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>''
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| What srutis are seems to be fairly flexible. However, reasonably authentic conditions to impose are the following:
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| (1) It should contain the Sa-grama, 9/8—5/4—4/3—3/2—27/16—15/8—2.
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| (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.
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| (3) 9/8, 10/9 and 16/15 are each always of the same size, and distinguished, with 9/8 > 10/9 > 16/15.
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| 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]:
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| 1—(2212)—9/8—(222)—5/4—(22)—4/3—(1222)—3/2—(2221)—27/16—(222)—15/8—(22)—2
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| Here the numbers in parethesis are the scale step patters between one note of Sa-grama and the next.
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| === as 41edo-steps ===
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| Step pattern: 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2
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| In [[cents]]:
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| # 58.5
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| # 117.1
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| # 146.3
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| # 204.9
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| # 263.4
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| # 322.0
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| # 380.5
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| # 439.0
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| # 497.6
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| # 526.8
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| # 585.4
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| # 643.9
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| # 702.4
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| # 761.0
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| # 819.5
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| # 878.0
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| # 907.3
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| # 965.9
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| # 1024.4
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| # 1082.9
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| # 1141.5 | |
| # 1200.0
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| -----
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| =Shrutar[22] as srutis=
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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>''
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| 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
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| 1—(2222)—9/8—(322)—5/4—(22)—4/3—(2222)—3/2—(2222)—27/16—(223)—15/8—(22)—2
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| This gives Shrutar[22].
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| [[Category:Magic]]
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| [[Category:22-tone scales]]
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| [[Category:Indian music]]
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| {{Todo| cleanup }}
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