14ed12

Revision as of 07:35, 20 March 2025 by 2^67-1 (talk | contribs) (Created page with "{{Infobox ET}} {{ED intro}} == Interval table == {{Interval table}}")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

14 equal divisions of the 12th harmonic (abbreviated 14ed12) is a nonoctave tuning system that divides the interval of 12/1 into 14 equal parts of about 307 ¢ each. Each step represents a frequency ratio of 121/14, or the 14th root of 12.

← 13ed12 14ed12 15ed12 →
Prime factorization 2 × 7
Step size 307.283 ¢ 
Octave 4\14ed12 (1229.13 ¢) (→ 2\7ed12)
Twelfth 6\14ed12 (1843.7 ¢) (→ 3\7ed12)
Consistency limit 8
Distinct consistency limit 3

Interval table

Steps Cents Approximate ratios
0 0 1/1
1 307.3 6/5, 19/16, 23/19
2 614.6 10/7, 13/9, 17/12, 23/16
3 921.8 12/7, 17/10
4 1229.1
5 1536.4 12/5, 17/7
6 1843.7 23/8
7 2151 7/2
8 2458.3
9 2765.5 5/1
10 3072.8
11 3380.1 7/1
12 3687.4 17/2
13 3994.7 10/1
14 4302 12/1