29ed7/4: Difference between revisions

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'''[[Ed7/4|Division of the septimal subminor seventh]] into 29 equal parts''' (29ED7/4) is very nearly identical to [[36edo]], but with the [[7/4]] rather than the 2/1 being just. The octave is stretched by about 2.68 [[cent]]s and the step size is about 33.41 cents.
==Harmonics==
{{Harmonics in equal|29|7|4|prec=2}}
[[Category:Ed7/4]]

Revision as of 13:12, 7 May 2024

← 28ed7/4 29ed7/4 30ed7/4 →
Prime factorization 29 (prime)
Step size 33.4078 ¢ 
Octave 36\29ed7/4 (1202.68 ¢)
Twelfth 57\29ed7/4 (1904.24 ¢)
Consistency limit 4
Distinct consistency limit 4
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Division of the septimal subminor seventh into 29 equal parts (29ED7/4) is very nearly identical to 36edo, but with the 7/4 rather than the 2/1 being just. The octave is stretched by about 2.68 cents and the step size is about 33.41 cents.

Harmonics

Approximation of harmonics in 29ed7/4
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +2.68 +2.29 +5.36 -13.47 +4.97 +5.36 +8.04 +4.58 -10.79 -8.75 +7.65
Relative (%) +8.0 +6.9 +16.0 -40.3 +14.9 +16.0 +24.1 +13.7 -32.3 -26.2 +22.9
Steps
(reduced)
36
(7)
57
(28)
72
(14)
83
(25)
93
(6)
101
(14)
108
(21)
114
(27)
119
(3)
124
(8)
129
(13)