User:MisterShafXen/23ed7/2

Revision as of 13:21, 1 August 2025 by MisterShafXen (talk | contribs) (Created page with "{{Infobox ET|23ed7/2}} {{ED intro}} == Intervals == {{Interval table|23ed7/2|additional=Note names (7\89) C Db vD vEb vvE vvF vvGb vvvG Gt Ad ^^^A ^^A# ^^B ^^C ^C# ^D D# E F Gb vG vAb vvA vvBb}}")
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← 22ed7/2 23ed7/2 24ed7/2 →
Prime factorization 23 (prime)
Step size 94.2968 ¢ 
Octave 13\23ed7/2 (1225.86 ¢)
Twelfth 20\23ed7/2 (1885.94 ¢)
Consistency limit 3
Distinct consistency limit 3

23 equal divisions of 7/2 (abbreviated 23ed7/2) is a nonoctave tuning system that divides the interval of 7/2 into 23 equal parts of about 94.3 ¢ each. Each step represents a frequency ratio of (7/2)1/23, or the 23rd root of 7/2.

Intervals

Steps Cents Approximate ratios Note names (7\89)
0 0 1/1 C
1 94.3 18/17, 19/18 Db
2 188.6 19/17 vD
3 282.9 13/11 vEb
4 377.2 5/4, 21/17 vvE
5 471.5 17/13 vvF
6 565.8 18/13 vvGb
7 660.1 19/13, 22/15 vvvG
8 754.4 17/11 Gt
9 848.7 18/11, 23/14 Ad
10 943 12/7, 19/11 ^^^A
11 1037.3 11/6 ^^A#
12 1131.6 21/11, 23/12 ^^B
13 1225.9 ^^C
14 1320.2 15/7 ^C#
15 1414.5 ^D
16 1508.7 12/5 D#
17 1603 E
18 1697.3 F
19 1791.6 14/5, 17/6 Gb
20 1885.9 vG
21 1980.2 22/7, 25/8 vAb
22 2074.5 vvA
23 2168.8 7/2 vvBb