41ed9: Difference between revisions

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Created page with "{{Infobox ET}} {{ED intro}} This is near 13edo. ==Harmonics== {{Harmonics in equal | 41 | 9 | 1}}"
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{{Infobox ET}}
{{Infobox ET}}
{{ED intro}} This is near 13edo.
{{ED intro}} This is near [[13edo]].


==Harmonics==
==Harmonics==
{{Harmonics in equal | 41 | 9 | 1}}
{{Harmonics in equal | 41 | 9 | 1}}

Latest revision as of 23:34, 3 May 2025

← 39ed9 41ed9 43ed9 →
Prime factorization 41 (prime)
Step size 92.7783 ¢ 
Octave 13\41ed9 (1206.12 ¢)
Twelfth 21\41ed9 (1948.34 ¢)
Consistency limit 2
Distinct consistency limit 2

41 equal divisions of the 9th harmonic (abbreviated 41ed9) is a nonoctave tuning system that divides the interval of 9/1 into 41 equal parts of about 92.8 ¢ each. Each step represents a frequency ratio of 91/41, or the 41st root of 9. This is near 13edo.

Harmonics

Approximation of harmonics in 41ed9
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +6.1 +46.4 +12.2 -3.0 -40.3 -28.8 +18.4 +0.0 +3.2 +23.7 -34.2
Relative (%) +6.6 +50.0 +13.2 -3.2 -43.4 -31.0 +19.8 +0.0 +3.4 +25.6 -36.8
Steps
(reduced)
13
(13)
21
(21)
26
(26)
30
(30)
33
(33)
36
(36)
39
(39)
41
(0)
43
(2)
45
(4)
46
(5)