19ed10: Difference between revisions

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{{Infobox ET}}
'''19ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 19 parts of 209.8060 [[cent|cents]] each. It is related to the 13-limit rank-three temperament which tempers out 540/539, 1573/1568, and 10648/10647, which is supported by [[63edo]], [[80edo]], and [[103edo]].
'''19ED10''' is the [[Ed10|equal division of the 10th harmonic]] into 19 parts of 209.8060 [[cent|cents]] each. It is related to the 13-limit rank-three temperament which tempers out 540/539, 1573/1568, and 10648/10647, which is supported by [[63edo]], [[80edo]], and [[103edo]].


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| | just major third plus three octaves
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[[Category:Ed10]]
[[Category:Edonoi]]

Latest revision as of 19:20, 1 August 2025

← 18ed10 19ed10 20ed10 →
Prime factorization 19 (prime)
Step size 209.806 ¢ 
Octave 6\19ed10 (1258.84 ¢)
Twelfth 9\19ed10 (1888.25 ¢)
(semiconvergent)
Consistency limit 3
Distinct consistency limit 3

19ED10 is the equal division of the 10th harmonic into 19 parts of 209.8060 cents each. It is related to the 13-limit rank-three temperament which tempers out 540/539, 1573/1568, and 10648/10647, which is supported by 63edo, 80edo, and 103edo.

degree cents value corresponding
JI intervals
comments
0 0.0000 exact 1/1
1 209.8060 44/39
2 419.6120 14/11
3 629.4180 23/16, 36/25
4 839.2239 13/8
5 1049.0299 11/6
6 1258.8359 91/44, 60/29
7 1468.6419 7/3
8 1678.4479 50/19, 95/36
9 1888.2539
10 2098.0598
11 2307.8658 72/19, 19/5
12 2517.6718 30/7
13 2727.4778 29/6, 440/91
14 2937.2838 60/11
15 3147.0898 80/13
16 3356.8958 125/18, 160/23
17 3566.7017 55/7
18 3776.5077 195/22
19 3986.3137 exact 10/1 just major third plus three octaves