View source for Magic22 as srutis

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= Magic[22] as srutis =

:''<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:

(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.

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

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

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

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=Shrutar[22] as srutis=

''<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&amp;41 temperament; we can also concoct srutis out of [[Diaschismic family#Shrutar|shrutar]], the 22&amp;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

This gives Shrutar[22].

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

{{Todo| cleanup }}