45ed4: Difference between revisions

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Its step size is very close to the Alpharabian quarter tone [[33/32]]. In addition, it tempers out the tritrizo comma in the 4.7/6 subgroup, and along with it the [[quartisma]] in the 33/32.7/6 subgroup.
Its step size is very close to the Alpharabian quarter tone [[33/32]]. In addition, it tempers out the tritrizo comma in the 4.7/6 subgroup, and along with it the [[quartisma]] in the 33/32.7/6 subgroup.
== Harmonics ==
{{Harmonics in equal|45|4|1}}


[[Category:Ed4]]
[[Category:Ed4]]

Revision as of 03:45, 31 January 2024

← 43ed4 45ed4 47ed4 →
Prime factorization 32 × 5
Step size 53.3333 ¢ 
Octave 23\45ed4 (1226.67 ¢)
Twelfth 36\45ed4 (1920 ¢) (→ 4\5ed4)
Consistency limit 1
Distinct consistency limit 1

The 45 equal divisions of the fourth harmonic is a tuning system equvalent to 22.5edo, representing every second step of 45edo.

Its step size is very close to the Alpharabian quarter tone 33/32. In addition, it tempers out the tritrizo comma in the 4.7/6 subgroup, and along with it the quartisma in the 33/32.7/6 subgroup.

Harmonics

Approximation of harmonics in 45ed4
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) +26.7 +18.0 +0.0 -13.0 -8.6 -8.8 +26.7 -17.2 +13.7 +8.7 +18.0
Relative (%) +50.0 +33.8 +0.0 -24.3 -16.2 -16.5 +50.0 -32.3 +25.7 +16.3 +33.8
Steps
(reduced)
23
(23)
36
(36)
45
(0)
52
(7)
58
(13)
63
(18)
68
(23)
71
(26)
75
(30)
78
(33)
81
(36)