15/14: Difference between revisions
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Clarification |
recat, linked relation to 19/17 |
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| Cents = 119.44281 | | Cents = 119.44281 | ||
| Name = septimal diatonic semitone | | Name = septimal diatonic semitone | ||
| Color name = ry1, ruyo semitone | | Color name = ry1, ruyo semitone | ||
| FJS name = A1<sup>5</sup><sub>7</sub> | | FJS name = A1<sup>5</sup><sub>7</sub> | ||
| Sound = jid_15_14_pluck_adu_dr220.mp3 | |||
}} | }} | ||
'''15/14''' is a [[superparticular]] ratio with a numerator which is the fifth [[Wikipedia:Triangular_number|triangular number]]. | '''15/14''' is a [[superparticular]] ratio with a numerator which is the fifth [[Wikipedia:Triangular_number|triangular number]]. | ||
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Although called "septimal diatonic semitone" for its proximity (and conflation in systems such as septimal [[meantone]]) with the classic diatonic semitone [[16/15]], 15/14 is a [[Wikipedia:chromatic semitone|chromatic semitone]] in both [[Helmholtz-Ellis notation]] and [[Functional Just System]] because it is [[5120/5103]] larger than the apotome [[2187/2048]]. | Although called "septimal diatonic semitone" for its proximity (and conflation in systems such as septimal [[meantone]]) with the classic diatonic semitone [[16/15]], 15/14 is a [[Wikipedia:chromatic semitone|chromatic semitone]] in both [[Helmholtz-Ellis notation]] and [[Functional Just System]] because it is [[5120/5103]] larger than the apotome [[2187/2048]]. | ||
In combination with [[19/17]] it forms a good approximation of [[golden meantone]]. | |||
== See also == | == See also == | ||
* [[28/15]] its [[octave complement]] | |||
* [[Gallery of Just Intervals]] | * [[Gallery of Just Intervals]] | ||
* [[Wikipedia:Septimal_diatonic_semitone|Septimal diatonic semitone - Wikipedia]] | * [[Wikipedia:Septimal_diatonic_semitone|Septimal diatonic semitone - Wikipedia]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Interval]] | [[Category:Interval ratio]] | ||
[[Category:Second]] | |||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category: | [[Category:Listen]] | ||
Revision as of 13:54, 27 September 2020
| Interval information |
reduced
[sound info]
15/14 is a superparticular ratio with a numerator which is the fifth triangular number.
It may be found as the interval between many 7-limit ratios, including:
- 16/15 and 8/7
- 14/13 and 15/13
- 7/6 and 5/4
- 6/5 and 9/7
- 14/11 and 15/11
- 4/3 and 10/7
- 7/5 and 3/2
- 22/15 and 11/7
- 14/9 and 5/3
- 8/5 and 12/7
- 26/15 and 13/7
- 7/4 and 15/8
Although called "septimal diatonic semitone" for its proximity (and conflation in systems such as septimal meantone) with the classic diatonic semitone 16/15, 15/14 is a chromatic semitone in both Helmholtz-Ellis notation and Functional Just System because it is 5120/5103 larger than the apotome 2187/2048.
In combination with 19/17 it forms a good approximation of golden meantone.