28/27: Difference between revisions

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Changed "septimal minor second" to "septimal subminor second" in order to distinguish from 15/14
m +FJS name; +links
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| Name = septimal chroma, septimal third-tone, <br>subminor second, septimal minor second
| Name = septimal chroma, septimal third-tone, <br>subminor second, septimal minor second
| Color name = z2, zo 2nd
| Color name = z2, zo 2nd
| FJS name = m2<sup>7</sup>
| Sound = jid_28_27_pluck_adu_dr220.mp3
| Sound = jid_28_27_pluck_adu_dr220.mp3
}}
}}
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== See also ==
== See also ==
* [[27/14]] – its [[octave complement]]
* [[Trienstonic clan]]
* [[Gallery of Just Intervals]]
* [[Gallery of Just Intervals]]
* [[27/14]] - its [[inverse interval]]
* [[Wikipedia:Septimal third tone|Septimal third tone - Wikipedia]]
* [https://en.wikipedia.org/wiki/Septimal_third_tone Septimal third tone &#45; Wikipedia]


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Interval]]
[[Category:Interval]]
[[Category:Superparticular]]
[[Category:Superparticular]]
[[Category:Second]]
[[Category:Semitone]]
[[Category:Semitone]]
[[Category:Third tone]]
[[Category:Third tone]]
[[Category:Chroma]]
[[Category:Chroma]]

Revision as of 08:57, 15 October 2020

Interval information
Ratio 28/27
Factorization 22 × 3-3 × 7
Monzo [2 -3 0 1
Size in cents 62.9609¢
Names septimal chroma,
septimal third-tone,
subminor second,
septimal minor second
Color name z2, zo 2nd
FJS name [math]\displaystyle{ \text{m2}^{7} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 9.56224
Weil height (log2 max(n, d)) 9.61471
Wilson height (sopfr(nd)) 20

[sound info]
Open this interval in xen-calc

The superparticular interval 28/27 (also septimal chroma or septimal third-tone) has the seventh triangular number as a numerator and is the difference between 15/14 and 10/9, 9/8 and 7/6, 9/7 and 4/3, 3/2 and 14/9, 12/7 and 16/9, and 9/5 and 28/15.

If treated as an interval in its own right, it may be described as the septimal subminor second, since it differs from the Pythagorean minor second 256/243 by 64/63, and from 16/15 by 36/35. This is analogous to the septimal major second 8/7, which has the same relationship with 9/8 and 10/9, respectively. Such classification suggests the function of a strong leading tone added to the traditional harmony.

See also