14edo: Difference between revisions

Xenwolf (talk | contribs)
m see also section for lumatone mapping
-monotonicity; cleanup
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| Prime factorization = 2 × 7
| Prime factorization = 2 × 7
| Step size = 85.714¢
| Step size = 85.714¢
| Fifth = 8\14 (685.714¢) (→[[7edo|4\7]])
| Fifth = 8\14 (686¢) (→[[7edo|4\7]])
| Major 2nd = 2\14 (171¢)
| Major 2nd = 2\14 (171¢)
| Semitones = 0:2 (0¢ : 171¢)
| Semitones = 0:2 (0¢ : 171¢)
| Consistency = 3
| Consistency = 3
| Monotonicity = 13
}}
}}


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14et has quite a bit of xenharmonic appeal, in a similar way to 17et, on account of having three types of 3rd and three types of 6th, rather than the usual two of 12et. Since 14et also has a recognizable 4th and 5th, this makes it good for those wishing to explore alternative triadic harmonies without adding significantly more notes. It possesses a triad-rich 9-note MOS scale of [[5L 4s]], wherein 7 of 9 notes are tonic to a subminor, supermajor, and/or neutral triad.
14et has quite a bit of xenharmonic appeal, in a similar way to 17et, on account of having three types of 3rd and three types of 6th, rather than the usual two of 12et. Since 14et also has a recognizable 4th and 5th, this makes it good for those wishing to explore alternative triadic harmonies without adding significantly more notes. It possesses a triad-rich 9-note MOS scale of [[5L 4s]], wherein 7 of 9 notes are tonic to a subminor, supermajor, and/or neutral triad.


=== Prime harmonics ===
{{Harmonics in equal|14}}
{{Harmonics in equal|14}}


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! [[Cent]]s
! [[Cent]]s
! [[Color name]]
! [[Color name]]
! Name(s)
! Name
|-
|-
| 3
| 3
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| 113.69
| 113.69
| Lawa
| Lawa
| Apotome, Pythagorean chromatic semitone
| Apotome
|-
|-
| 5
| 5
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| 48.77
| 48.77
| Rugu
| Rugu
| Septimal quarter tone
| Septimal quartertone
|-
|-
| 7
| 7
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| 13.07
| 13.07
| Triru-agu
| Triru-agu
| Orwellisma, Orwell comma
| Orwellisma
|-
|-
| 7
| 7
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| 0.34
| 0.34
| Trisa-seprugu
| Trisa-seprugu
| [[Akjaysma]], 5\7 octave comma
| [[Akjaysma]]
|-
|-
| 11
| 11
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| 2.56
| 2.56
| Bithogu
| Bithogu
| Island comma, parizeksma
| Island comma
|}
|}
<references/>
<references/>