15/14: Difference between revisions

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| Color name = ry1, ruyo semitone
| Color name = ry1, ruyo semitone
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15/14 is a [[superparticular|superparticular]] ratio with a numerator which is the fifth [http://en.wikipedia.org/wiki/Triangular_number triangular number].
'''15/14''' is a [[superparticular]] ratio with a numerator which is the fifth [http://en.wikipedia.org/wiki/Triangular_number triangular number].


It may be found as the interval between many [[7-limit|7-limit]] ratios, including:
It may be found as the interval between many [[7-limit]] ratios, including:


<ul><li>16/15 and 8/7</li><li>14/13 and 15/13</li><li>7/6 and 5/4</li><li>6/5 and 9/7</li><li>14/11 and 15/11</li><li>4/3 and 10/7</li><li>7/5 and 3/2</li><li>22/15 and 11/7</li><li>14/9 and 5/3</li><li>8/5 and 12/7</li><li>26/15 and 13/7</li><li>7/4 and 15/8</li></ul>
* [[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]]


[http://en.wikipedia.org/wiki/Septimal_diatonic_semitone http://en.wikipedia.org/wiki/Septimal_diatonic_semitone]
== See also ==
* [[Gallery of Just Intervals]]
* [[28/15]] its inverse interval
* [http://en.wikipedia.org/wiki/Septimal_diatonic_semitone Septimal diatonic semitone - Wikipedia]
 
[[Category:7-limit]]
[[Category:Interval]]
[[Category:Semitone]]
[[Category:Superparticular]]
[[Category:todo:expand]]

Revision as of 18:18, 23 October 2018

Interval information
Ratio 15/14
Factorization 2-1 × 3 × 5 × 7-1
Monzo [-1 1 1 -1⟩
Size in cents 119.4428¢
Name septimal diatonic semitone
Color name ry1, ruyo semitone
FJS name [math]\displaystyle{ \text{A1}^{5}_{7} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 7.71425
Weil norm (log2 max(n, d)) 7.81378
Wilson norm (sopfr(nd)) 17

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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:

See also

Retrieved from "https://en.xen.wiki/index.php?title=15/14&oldid=37661"