13ed11: Difference between revisions

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m Removing from Category:Ed11 using Cat-a-lot
Fredg999 category edits (talk | contribs)
m Removing from Category:Edonoi using Cat-a-lot
 
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| | [[11/8|undecimal fourth]] plus three octaves
| | [[11/8|undecimal fourth]] plus three octaves
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[[Category:Edonoi]]

Latest revision as of 19:20, 1 August 2025

← 12ed11 13ed11 14ed11 →
Prime factorization 13 (prime)
Step size 319.332 ¢ 
Octave 4\13ed11 (1277.33 ¢)
Twelfth 6\13ed11 (1915.99 ¢)
(semiconvergent)
Consistency limit 7
Distinct consistency limit 3

13ED11 is the equal division of the 11th harmonic into 13 parts of 319.3321 cents each. It is related to the 13-limit temperament which tempers out 275/273, 325/324, 385/384, and 1331/1323, which is supported by 15edo, 79edo, and 94edo.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 319.3321 6/5, 77/64
2 638.6643 13/9
3 957.9964 33/19
4 1277.3286 44/21
5 1596.6607 121/48
6 1915.9929 121/40
7 2235.3250 40/11
8 2554.6572 48/11
9 2873.9893 21/4
10 3193.3215 19/3
11 3512.6536 38/5, 160/21
12 3831.9858 64/7, 55/6
13 4151.3179 exact 11/1 undecimal fourth plus three octaves