10ed5/4: Difference between revisions

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'''[[Ed5/4|Division of the just major third]] into 10 equal parts''' (10ED5/4) is related to [[31edo|31 edo]], but with the 5/4 rather than the 2/1 being just. The octave is about 2.43 cents stretched and the step size is 38.63 cents.
 
Lookalikes: [[31edo]], [[49edt]], [[72ed5]], [[18edf]]
 
==Harmonics==
{{Harmonics in equal|10|5|4|prec=2|columns=15}}
 
[[Category:Edonoi]]

Revision as of 14:55, 9 May 2024

← 9ed5/4 10ed5/4 11ed5/4 →
Prime factorization 2 × 5
Step size 38.6314 ¢ 
Octave 31\10ed5/4 (1197.57 ¢)
(semiconvergent)
Twelfth 49\10ed5/4 (1892.94 ¢)
(semiconvergent)
Consistency limit 12
Distinct consistency limit 9

Division of the just major third into 10 equal parts (10ED5/4) is related to 31 edo, but with the 5/4 rather than the 2/1 being just. The octave is about 2.43 cents stretched and the step size is 38.63 cents.

Lookalikes: 31edo, 49edt, 72ed5, 18edf

Harmonics

Approximation of harmonics in 10ed5/4
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) -2.43 -9.02 -4.85 -4.85 -11.45 -7.90 -7.28 -18.04 -7.28 -17.76 -13.87 +2.08 -10.32 -13.87 -9.71
Relative (%) -6.3 -23.3 -12.6 -12.6 -29.6 -20.4 -18.9 -46.7 -18.9 -46.0 -35.9 +5.4 -26.7 -35.9 -25.1
Steps
(reduced)
31
(1)
49
(9)
62
(2)
72
(2)
80
(0)
87
(7)
93
(3)
98
(8)
103
(3)
107
(7)
111
(1)
115
(5)
118
(8)
121
(1)
124
(4)