7edf

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← 6edf 7edf 8edf →
Prime factorization 7 (prime)
Step size 100.279 ¢ 
Octave 12\7edf (1203.35 ¢)
(convergent)
Twelfth 19\7edf (1905.31 ¢)
(convergent)
Consistency limit 10
Distinct consistency limit 6

Division of the just perfect fifth into 7 equal parts (7EDF) is related to 12 edo, but with the 3/2 rather than the 2/1 being just. The octave is about 3.3514 cents stretched and the step size is about 100.2793 cents. The patent val has a generally sharp tendency for harmonics up to 21, with the exception for 11 and 13.

Lookalikes: 12edo, 19ed3, 31ed6

Harmonics

Approximation of harmonics in 7edf
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +3.35 +3.35 +6.70 +21.51 +6.70 +40.67 +10.05 +6.70 +24.86 -39.87 +10.05
Relative (%) +3.3 +3.3 +6.7 +21.4 +6.7 +40.6 +10.0 +6.7 +24.8 -39.8 +10.0
Steps
(reduced)
12
(5)
19
(5)
24
(3)
28
(0)
31
(3)
34
(6)
36
(1)
38
(3)
40
(5)
41
(6)
43
(1)

Intervals

# Cents 12edo notation
1 100.2793 C#, Db
2 200.5586 D
3 300.8379 D#, Eb
4 401.1171 E
5 501.3964 F
6 601.6757 F#, Gb
7 701.955 G
8 802.2343 G#, Ab
9 902.5136 A
10 1002.7929 A#, Bb
11 1103.0721 B
12 1203.3514 C
13 1303.6307 C#, Db
14 1403.91 D