6edφ: Difference between revisions

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{{Infobox ET|6ed987/610}}
{{Infobox ET|6ed987/610}}
'''6 equal divisions of acoustic phi''' ('''6edφ''') is the [[nonoctave]] [[tuning system]] derived by dividing [[acoustic phi]] into 136equal steps of 138.8 [[cent]]s each, or the sixth root of phi.
'''6 equal divisions of acoustic phi''' ('''6edφ''') is the [[nonoctave]] [[tuning system]] derived by dividing [[acoustic phi]] into 6 equal steps of 138.8 [[cent]]s each, or the sixth root of phi.


It may be used to approximate [[metallic intonation]] with the golden ratio represented by 6 steps, the silver ratio by 11 steps and the bronze ratio by 15 steps.
It may be used to approximate [[metallic intonation]] with the golden ratio represented by 6 steps, the silver ratio by 11 steps and the bronze ratio by 15 steps.

Latest revision as of 08:17, 29 March 2024

← 5ed987/610 6ed987/610 7ed987/610 →
Prime factorization 2 × 3
Step size 138.848 ¢ 
Octave 9\6ed987/610 (1249.63 ¢) (→ 3\2ed987/610)
Twelfth 14\6ed987/610 (1943.87 ¢) (→ 7\3ed987/610)
Consistency limit 3
Distinct consistency limit 3
Special properties

6 equal divisions of acoustic phi (6edφ) is the nonoctave tuning system derived by dividing acoustic phi into 6 equal steps of 138.8 cents each, or the sixth root of phi.

It may be used to approximate metallic intonation with the golden ratio represented by 6 steps, the silver ratio by 11 steps and the bronze ratio by 15 steps.


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