662edo: Difference between revisions

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{{Infobox ET}}
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{{EDO intro|662}}
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== Theory ==
662edo is [[consistent]] in the [[11-odd-limit]].  
This edo's consistency limit is only 11.


=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|662|columns=12}}
{{Harmonics in equal|662}}




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Latest revision as of 06:44, 20 February 2025

← 661edo 662edo 663edo →
Prime factorization 2 × 331
Step size 1.81269 ¢ 
Fifth 387\662 (701.511 ¢)
Semitones (A1:m2) 61:51 (110.6 ¢ : 92.45 ¢)
Consistency limit 11
Distinct consistency limit 11

662 equal divisions of the octave (abbreviated 662edo or 662ed2), also called 662-tone equal temperament (662tet) or 662 equal temperament (662et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 662 equal parts of about 1.81 ¢ each. Each step represents a frequency ratio of 21/662, or the 662nd root of 2.

662edo is consistent in the 11-odd-limit.

Odd harmonics

Approximation of odd harmonics in 662edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.444 -0.211 -0.850 -0.889 -0.261 +0.560 -0.655 +0.181 -0.232 +0.518 +0.729
Relative (%) -24.5 -11.6 -46.9 -49.0 -14.4 +30.9 -36.2 +10.0 -12.8 +28.6 +40.2
Steps
(reduced)
1049
(387)
1537
(213)
1858
(534)
2098
(112)
2290
(304)
2450
(464)
2586
(600)
2706
(58)
2812
(164)
2908
(260)
2995
(347)


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