OTC 5L 16s: Difference between revisions

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Omnitetrachordal MODMOS scale
Omnitetrachordal MODMOS scale


[[5L_16s|5L+16s]]
[[5L 16s|5L+16s]]


21 tones (9+3+9)
21 tones (9+3+9)


[[Laconic_Family|laconic / gorgo]]
[[laconic]] / [[gorgo]]


[[Gallery_of_omnitetrachordal_scales#perfect|P]] = 4.780050258
[[Gallery of omnitetrachordal scales #perfect|P]] = 4.780050258


[[Gallery_of_omnitetrachordal_scales#Q|Q]] = 11.4300921397 (4/3 = 2L+7.5s)
[[Gallery of omnitetrachordal scales #Q|Q]] = 11.4300921397 (4/3 = 2L+7.5s)


L = 57.14 to 240.00 cents (143.76 cents @ P, 187.51 cents @ Q)
L = 57.14 to 240.00 cents (143.76 cents @ P, 187.51 cents @ Q)
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[[File:21_05_16_sLsssssLs_sLs_sLsssssLs.png|alt=21_05_16_sLsssssLs_sLs_sLsssssLs.png|21_05_16_sLsssssLs_sLs_sLsssssLs.png]]
[[File:21_05_16_sLsssssLs_sLs_sLsssssLs.png|alt=21_05_16_sLsssssLs_sLs_sLsssssLs.png|21_05_16_sLsssssLs_sLs_sLsssssLs.png]]


===See also===
=== See also ===
<ul><li>[[Omnitetrachordality|Omnitetrachordality]]</li><li>[[Gallery_of_omnitetrachordal_scales|Gallery of omnitetrachordal scales]]</li></ul>
* [[Omnitetrachordality]]
* [[Gallery of omnitetrachordal scales]]
 
[[Category:21-tone scales]]
[[Category:21-tone scales]]
[[Category:Tempered scales]]
[[Category:Tempered scales]]
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[[Category:Gorgo]]
[[Category:Gorgo]]
[[Category:Laconic]]
[[Category:Laconic]]
{{Todo| cleanup }}

Revision as of 14:23, 21 January 2025

Omnitetrachordal MODMOS scale

5L+16s

21 tones (9+3+9)

laconic / gorgo

P = 4.780050258

Q = 11.4300921397 (4/3 = 2L+7.5s)

L = 57.14 to 240.00 cents (143.76 cents @ P, 187.51 cents @ Q)

s = 0.00 to 57.14 cents (30.07 cents @ P, 16.40 cents @ Q)

9/8 = L+2s (171.43 to 240.00 cents)

4/3 = 2L+7s (480.00 to 514.29 cents)

MOS generator = L+3s (228.57 to 240.00 cents)

notable EDOs: 26, 31, 36, 41, 46, 47, 57, 67, 77

ssLsssLsssLssssLsssLs (MOS, not OTC)

 ||   ||       ||    

sLsssssLssLsssssLssLs (OTC MODMOS) - gc 13,2,2; 4o

symmetric mode: sLsssssLssLssLsssssLs

all modes:

sLsssssLs sLs sLsssssLs
LsssssLss Lss LsssssLss
sssssLssL ssL sssssLssL
ssssLssLs sLs ssssLssLs
sssLssLss Lss sssLssLss
ssL ssLssLsss ssLssLsss
sLs sLssLssss sLssLssss
Lss LssLsssss LssLsssss
ssL ssLsssssL ssLsssssL ssLssLsss ssLssLsss ssL
sLs sLsssssLs sLsssssLs sLssLssss sLssLssss sLs
Lss LsssssLss LsssssLss LssLsssss LssLsssss Lss
ssL sssssLssL sssssLssL ssLsssssL ssLsssssL ssL
sLs ssssLssLs ssssLssLs sLsssssLs sLsssssLs sLs
Lss sssLssLss sssLssLss LsssssLss LsssssLss Lss
sssssLssL sssssLssL ssL
ssssLssLs ssssLssLs sLs
sssLssLss sssLssLss Lss
ssLssLsss ssL ssLssLsss
sLssLssss sLs sLssLssss
LssLsssss Lss LssLsssss
ssLsssssL ssL ssLsssssL

21_05_16_sLsssssLs_sLs_sLsssssLs.png

See also