111ed6: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
ArrowHead294 (talk | contribs)
No edit summary
ArrowHead294 (talk | contribs)
No edit summary
Line 3: Line 3:


Lookalikes: [[43edo]], [[68edt]], [[100ed5]], [[25edf]]
Lookalikes: [[43edo]], [[68edt]], [[100ed5]], [[25edf]]
==Harmonics==
{{Harmonics in equal|111|6|1|prec=2|columns=15}}


[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 14:51, 9 May 2024

← 110ed6 111ed6 112ed6 →
Prime factorization 3 × 37
Step size 27.9455 ¢ 
Octave 43\111ed6 (1201.66 ¢)
Twelfth 68\111ed6 (1900.3 ¢)
Consistency limit 6
Distinct consistency limit 6

Division of the sixth harmonic into 111 equal parts (111ED6) is related to 43 edo (meride tuning), but with the 6/1 rather than the 2/1 being just. The octave is about 1.66 cents stretched and the step size is 27.95 cents.

Lookalikes: 43edo, 68edt, 100ed5, 25edf

Harmonics

Approximation of harmonics in 111ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Error Absolute (¢) +1.66 -1.66 +3.32 +8.24 +0.00 +12.58 +4.97 -3.32 +9.90 +12.57 +1.66 +2.81 -13.70 +6.58 +6.63
Relative (%) +5.9 -5.9 +11.9 +29.5 +0.0 +45.0 +17.8 -11.9 +35.4 +45.0 +5.9 +10.1 -49.0 +23.6 +23.7
Steps
(reduced)
43
(43)
68
(68)
86
(86)
100
(100)
111
(0)
121
(10)
129
(18)
136
(25)
143
(32)
149
(38)
154
(43)
159
(48)
163
(52)
168
(57)
172
(61)