15/14: Difference between revisions

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'''15/14'''
{{Infobox Interval
|-1 1 1 -1>
| JI glyph =
 
| Ratio = 15/14
119.44281 cents
| Monzo = -1 1 1 -1
 
| Cents = 119.44281
[[File:jid_15_14_pluck_adu_dr220.mp3]] [[:File:jid_15_14_pluck_adu_dr220.mp3|sound sample]]
| Name = septimal diatonic semitone
 
| Sound = jid_15_14_pluck_adu_dr220.mp3
The septimal diatonic semitone, 15/14, is a [[superparticular|superparticular]] ratio with a numerator which is the fifth [http://en.wikipedia.org/wiki/Triangular_number triangular number].
| Color name = ry1, ruyo semitone
}}
15/14 is a [[superparticular|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|7-limit]] ratios, including:

Revision as of 04:24, 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

[sound info]
Open this interval in xen-calc

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

http://en.wikipedia.org/wiki/Septimal_diatonic_semitone