45ed4: Difference between revisions

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strange, {{Infobox ET|45ed4}} doesn't work either
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{{Infobox ET}}
{{Infobox ET|45ed4}}
The 45 equal divisions of the [[4/1|fourth harmonic]] is a tuning system equvalent to 22.5edo, representing every second step of [[45edo]].
The 45 equal divisions of the [[4/1|fourth harmonic]] is a tuning system equvalent to 22.5edo, representing every second step of [[45edo]].



Revision as of 22:17, 25 December 2022

← 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.