List of octave-reduced harmonics: Difference between revisions

Fredg999 (talk | contribs)
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
Wolftune (talk | contribs)
adjusted to consistent language for "harmonics" not "overtones
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This is a list of overtones ([[harmonic]]s) up to 255, sorted by ascending pitch of their [[Octave reduction|octave-reduced]] equivalent (except the octave, which is not reduced). Prime overtones are in bold.
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'''
| '''overtone half-step'''
| '''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'''
| '''overtone secor'''
| '''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'''
| '''overtone''' '''hemifourth'''
| '''harmonic''' '''hemifourth'''
| '''close to 5 degrees of [[24edo]]'''
| '''close to 5 degrees of [[24edo]]'''
|-
|-
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| '''263.002'''
| '''263.002'''
| '''prime'''
| '''prime'''
| '''overtone subminor third'''
| '''harmonic subminor third'''
|  
|  
|-
|-
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| '''286.086'''
| '''286.086'''
| '''prime'''
| '''prime'''
| '''overtone gentle minor third'''
| '''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'''
| '''overtone minor third'''
| '''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'''
| '''overtone''' '''hemififth'''
| '''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
| overtone gentle minor sixth, circular sixth
| 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'''
| '''overtone sixth, golden overtone'''
| '''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
| overtone gentle major third
| 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
| overtone hemitwelfth
| harmonic hemitwelfth
| close to 19 degrees of [[24edo]] / square root of 3
| close to 19 degrees of [[24edo]] / square root of 3
|-
|-