List of octave-reduced harmonics: Difference between revisions
Recast lead section, fixed typo, added internal links (for convenience; same reason all edo mentions already have links), replaced 9 by 3 × 3 in factorization, categories |
adjusted to consistent language for "harmonics" not "overtones |
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This is a list of | This is a list of [[harmonic]]s up to 255, sorted by ascending pitch of their [[Octave reduction|octave-reduced]] equivalent (except the octave, which is not reduced). Prime harmonics are in bold. | ||
{| class="wikitable center-1 right-2 sortable" | {| class="wikitable center-1 right-2 sortable" | ||
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| '''104.955''' | | '''104.955''' | ||
| '''prime''' | | '''prime''' | ||
| ''' | | '''harmonic half-step''' | ||
| '''close to 1 degree of [[11edo]] / 2 degrees of [[23edo]]''' | | '''close to 1 degree of [[11edo]] / 2 degrees of [[23edo]]''' | ||
|- | |- | ||
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| '''117.6385''' | | '''117.6385''' | ||
| '''prime''' | | '''prime''' | ||
| ''' | | '''harmonic [[secor]]''' | ||
| '''close to 3 degrees of [[31edo]],''' '''square root of 73''' | | '''close to 3 degrees of [[31edo]],''' '''square root of 73''' | ||
|- | |- | ||
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| '''251.344''' | | '''251.344''' | ||
| '''prime''' | | '''prime''' | ||
| ''' | | '''harmonic''' '''hemifourth''' | ||
| '''close to 5 degrees of [[24edo]]''' | | '''close to 5 degrees of [[24edo]]''' | ||
|- | |- | ||
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| '''263.002''' | | '''263.002''' | ||
| '''prime''' | | '''prime''' | ||
| ''' | | '''harmonic subminor third''' | ||
| | | | ||
|- | |- | ||
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| '''286.086''' | | '''286.086''' | ||
| '''prime''' | | '''prime''' | ||
| ''' | | '''harmonic gentle minor third''' | ||
| '''close to 4 degrees of [[17edo]]''' | | '''close to 4 degrees of [[17edo]]''' | ||
|- | |- | ||
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| '''297.513''' | | '''297.513''' | ||
| '''prime''' | | '''prime''' | ||
| ''' | | '''harmonic minor third''' | ||
| '''close to 3 degrees of [[12edo]] (a.k.a. 1 degree of [[4edo]])''' | | '''close to 3 degrees of [[12edo]] (a.k.a. 1 degree of [[4edo]])''' | ||
|- | |- | ||
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| '''353.545''' | | '''353.545''' | ||
| '''prime''' | | '''prime''' | ||
| ''' | | '''harmonic''' '''hemififth''' | ||
| '''close to 5 degrees of [[17edo]]''' | | '''close to 5 degrees of [[17edo]]''' | ||
|- | |- | ||
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| 781.262 | | 781.262 | ||
| 3 x 67 | | 3 x 67 | ||
| | | harmonic gentle minor sixth, circular sixth | ||
| close to 19 degrees of [[23edo]] / pi | | close to 19 degrees of [[23edo]] / pi | ||
|- | |- | ||
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| '''840.528''' | | '''840.528''' | ||
| '''prime''' | | '''prime''' | ||
| ''' | | '''harmonic sixth, golden overtone''' | ||
| '''[[13-limit]] / close to 7 degrees of [[10edo]], golden ratio''' | | '''[[13-limit]] / close to 7 degrees of [[10edo]], golden ratio''' | ||
|- | |- | ||
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| 913.8615 | | 913.8615 | ||
| 7 x 31 | | 7 x 31 | ||
| | | harmonic gentle major third | ||
| close to 13 degrees of [[17edo]] | | close to 13 degrees of [[17edo]] | ||
|- | |- | ||
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| 953.299 | | 953.299 | ||
| 3 x 37 | | 3 x 37 | ||
| | | harmonic hemitwelfth | ||
| close to 19 degrees of [[24edo]] / square root of 3 | | close to 19 degrees of [[24edo]] / square root of 3 | ||
|- | |- |