680edo

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Revision as of 11:29, 20 September 2024 by Lériendil (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|680}} === Odd harmonics === {{Harmonics in equal|680|columns=16}} === Subsets and supersets === Since 680 factors into {{factorization|680}}, 680e...")
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← 679edo 680edo 681edo →
Prime factorization 23 × 5 × 17
Step size 1.76471 ¢ 
Fifth 398\680 (702.353 ¢) (→ 199\340)
Semitones (A1:m2) 66:50 (116.5 ¢ : 88.24 ¢)
Consistency limit 9
Distinct consistency limit 9

Template:EDO intro

Odd harmonics

Approximation of prime harmonics in 680edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53
Error Absolute (¢) +0.000 +0.398 +0.157 -0.002 -0.730 -0.528 -0.838 +0.722 -0.039 -0.754 +0.259 -0.756 -0.239 +0.247 -0.213 +0.025
Relative (%) +0.0 +22.5 +8.9 -0.1 -41.4 -29.9 -47.5 +40.9 -2.2 -42.7 +14.7 -42.8 -13.5 +14.0 -12.0 +1.4
Steps
(reduced)
680
(0)
1078
(398)
1579
(219)
1909
(549)
2352
(312)
2516
(476)
2779
(59)
2889
(169)
3076
(356)
3303
(583)
3369
(649)
3542
(142)
3643
(243)
3690
(290)
3777
(377)
3895
(495)

Subsets and supersets

Since 680 factors into 23 × 5 × 17, 680edo has subset edos 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 170, and 340.

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