106ed6: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
'''[[ed6|Division of the sixth harmonic]] into 106 equal parts''' (106ED6) is related to [[41edo|41 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed and the step size is about 29.26 cents. It is consistent to the [[15-odd-limit|16-integer-limit]].
'''[[ed6|Division of the sixth harmonic]] into 106 equal parts''' (106ED6) is related to [[41edo|41 edo]], but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed and the step size is about 29.26 cents. It is consistent to the 16-[[integer-limit]].


Lookalikes: [[24edf]], [[41edo]], [[65edt]], [[95ed5]]
Lookalikes: [[24edf]], [[41edo]], [[65edt]], [[95ed5]]


== Harmonics ==
{{Harmonics in equal|106|6|1|intervals=prime}}
{{Harmonics in equal|106|6|1|intervals=prime|collapsed=1|start=12}}
{{stub}}
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 04:36, 22 December 2024

← 105ed6 106ed6 107ed6 →
Prime factorization 2 × 53
Step size 29.2637 ¢ 
Octave 41\106ed6 (1199.81 ¢)
(convergent)
Twelfth 65\106ed6 (1902.14 ¢)
(convergent)
Consistency limit 16
Distinct consistency limit 10

Division of the sixth harmonic into 106 equal parts (106ED6) is related to 41 edo, but with the 6/1 rather than the 2/1 being just. The octave is about 0.19 cents compressed and the step size is about 29.26 cents. It is consistent to the 16-integer-limit.

Lookalikes: 24edf, 41edo, 65edt, 95ed5

Harmonics

Approximation of prime harmonics in 106ed6
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) -0.2 +0.2 -6.3 -3.5 +4.1 +7.6 +11.4 -5.6 -14.5 -6.1 -4.5
Relative (%) -0.6 +0.6 -21.4 -12.0 +14.1 +25.8 +38.8 -19.2 -49.5 -20.8 -15.4
Steps
(reduced)
41
(41)
65
(65)
95
(95)
115
(9)
142
(36)
152
(46)
168
(62)
174
(68)
185
(79)
199
(93)
203
(97)
Approximation of prime harmonics in 106ed6
Harmonic 37 41 43 47 53 59 61 67 71 73 79
Error Absolute (¢) +11.1 +9.0 +14.3 +6.6 +3.5 -6.6 -5.8 +7.4 -5.2 +5.2 -14.5
Relative (%) +37.9 +30.6 +48.8 +22.6 +11.9 -22.6 -19.8 +25.2 -17.9 +17.8 -49.5
Steps
(reduced)
214
(2)
220
(8)
223
(11)
228
(16)
235
(23)
241
(29)
243
(31)
249
(37)
252
(40)
254
(42)
258
(46)


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