14ed11/5: Difference between revisions

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Created page with "{{Infobox ET}} '''14ed11/5''' is the equal division of the neutral ninth into 14 parts of 97.5 cents each, making it very nearly 97.5cET. It is very roughly equ..."
 
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{{Infobox ET}}
{{Infobox ET}}
'''14ed11/5''' is the [[ed11/5|equal division of the neutral ninth]] into 14 parts of 97.5 cents each, making it very nearly [[97.5cET]]. It is very roughly equivalent to [[12edo]] although it's octave is 30 cents compressed. 14ed11/5 is a good tuning for the no-twos-or-threes 13-limit, tempering out the commas [[847/845]] and 637/625 and containing a close approximation for [[13/7]].
'''14ed11/5''' is the [[ed11/5|equal division of the neutral ninth]] into 14 parts of 97.5 cents each, making it very nearly [[97.5cET]]. It is very roughly equivalent to [[12edo]] although it's octave is 30 cents compressed. 14ed11/5 is a good tuning for the no-twos-or-threes 13-limit, tempering out the commas [[847/845]] and 637/625, and containing a close approximation for [[13/7]].


== Intervals ==
== Intervals ==

Revision as of 03:45, 5 March 2023

← 13ed11/5 14ed11/5 15ed11/5 →
Prime factorization 2 × 7
Step size 97.5003 ¢ 
Octave 12\14ed11/5 (1170 ¢) (→ 6\7ed11/5)
Twelfth 20\14ed11/5 (1950.01 ¢) (→ 10\7ed11/5)
Consistency limit 2
Distinct consistency limit 2

14ed11/5 is the equal division of the neutral ninth into 14 parts of 97.5 cents each, making it very nearly 97.5cET. It is very roughly equivalent to 12edo although it's octave is 30 cents compressed. 14ed11/5 is a good tuning for the no-twos-or-threes 13-limit, tempering out the commas 847/845 and 637/625, and containing a close approximation for 13/7.

Intervals

# Cents Approximate ratios
0 0.0 1/1
1 97.5 16/15, 17/16 21/20
2 195.0 10/9, 19/17, 28/25
3 292.5 13/11, 32/27, 6/5
4 390.0 5/4
5 487.5 4/3, 33/25
6 585.0 7/5, 45/32
7 682.5 3/2, 40/27
8 780.0 11/7, 25/16, 36/23
9 877.5 5/3
10 975.0 7/4, 127/72
11 1072.5 13/7, 28/15, 15/8
12 1170.0 2/1, 49/25, 160/81
13 1267.5 50/24
14 1365.0 11/5