73ed6: Difference between revisions

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== Harmonics ==
=== Harmonics ===
{{Harmonics in equal | 73 | 6 | 1}}
{{Harmonics in equal|73|6|1}}

Revision as of 14:10, 20 July 2025

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← 72ed6 73ed6 74ed6 →
Prime factorization 73 (prime)
Step size 42.4925 ¢ 
Octave 28\73ed6 (1189.79 ¢)
Twelfth 45\73ed6 (1912.16 ¢)
Consistency limit 3
Distinct consistency limit 3

73 equal divisions of the 6th harmonic (abbreviated 73ed6) is a nonoctave tuning system that divides the interval of 6/1 into 73 equal parts of about 42.5 ¢ each. Each step represents a frequency ratio of 61/73, or the 73rd root of 6.

Harmonics

Approximation of harmonics in 73ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -10.2 +10.2 -20.4 +18.2 +0.0 -11.9 +11.9 +20.4 +8.0 +13.0 -10.2
Relative (%) -24.0 +24.0 -48.1 +42.8 +0.0 -28.0 +27.9 +48.1 +18.8 +30.5 -24.0
Steps
(reduced)
28
(28)
45
(45)
56
(56)
66
(66)
73
(0)
79
(6)
85
(12)
90
(17)
94
(21)
98
(25)
101
(28)