User:MisterShafXen/39ed4

Revision as of 16:35, 27 July 2025 by MisterShafXen (talk | contribs) (Created page with "{{Infobox ET|39ed4|Semitones (A1:m2)=-2:7}} {{ED intro}} == Intervals == {{Interval table|39ed4|additional=Note names C Db vC# vD/^C# ^D ^Eb D# E F Gb vF# vG ^G ^Ab G# A Bb vA# vB vC ^C ^Db C# D Eb vD# vE ^E/vF ^F E# F# G Ab vG# vA ^A ^Bb A# B C}}")
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← 37ed4 39ed4 41ed4 →
Prime factorization 3 × 13
Step size 61.5385 ¢ 
Octave 20\39ed4 (1230.77 ¢)
Twelfth 31\39ed4 (1907.69 ¢)
Consistency limit 1
Distinct consistency limit 1

39 equal divisions of the 4th harmonic (abbreviated 39ed4) is a nonoctave tuning system that divides the interval of 4/1 into 39 equal parts of about 61.5 ¢ each. Each step represents a frequency ratio of 41/39, or the 39th root of 4.

Intervals

Steps Cents Approximate ratios Note names
0 0 1/1 C
1 61.5 27/26 Db
2 123.1 29/27 vC#
3 184.6 10/9, 29/26 vD/^C#
4 246.2 15/13 ^D
5 307.7 ^Eb
6 369.2 21/17, 26/21 D#
7 430.8 9/7 E
8 492.3 F
9 553.8 29/21 Gb
10 615.4 10/7, 27/19 vF#
11 676.9 vG
12 738.5 23/15, 26/17, 29/19 ^G
13 800 27/17 ^Ab
14 861.5 G#
15 923.1 17/10, 29/17 A
16 984.6 23/13 Bb
17 1046.2 vA#
18 1107.7 17/9, 19/10 vB
19 1169.2 vC
20 1230.8 ^C
21 1292.3 19/9 ^Db
22 1353.8 C#
23 1415.4 25/11 D
24 1476.9 Eb
25 1538.5 17/7 vD#
26 1600 vE
27 1661.5 13/5 ^E/vF
28 1723.1 19/7, 27/10 ^F
29 1784.6 E#
30 1846.2 29/10 F#
31 1907.7 3/1 G
32 1969.2 Ab
33 2030.8 29/9 vG#
34 2092.3 vA
35 2153.8 ^A
36 2215.4 ^Bb
37 2276.9 26/7 A#
38 2338.5 27/7 B
39 2400 C