28/27: Difference between revisions
Jump to navigation
Jump to search
m +FJS name; +links |
Clarification |
||
| Line 4: | Line 4: | ||
| Monzo = 2 -3 0 1 | | Monzo = 2 -3 0 1 | ||
| Cents = 62.9609 | | Cents = 62.9609 | ||
| Name = septimal chroma, septimal third-tone, <br>subminor second, septimal minor second | | Name = small 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> | | FJS name = m2<sup>7</sup> | ||
| Line 10: | Line 10: | ||
}} | }} | ||
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]]. | The [[superparticular]] interval '''28/27''' (also '''small 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]]. | ||
Although called a ''chroma'' for its proximity (and conflation in systems like septimal [[meantone]]) with the classic chroma [[25/24]], 28/27 is a ''diatonic semitone'' in both [[Helmholtz-Ellis notation]] and [[Functional Just System]] because it is [[64/63]] smaller than the Pythagorean minor second [[256/243]]. Hence, it may be described as the '''septimal minor second''' or '''subminor second''' if treated as an interval in its own right. This is analogous to the septimal major second [[8/7]], which has the same relationship with [[9/8]], and such classification suggests the function of a strong leading tone added to the traditional harmony. | |||
== See also == | == See also == | ||
* [[27/14]] – its [[octave complement]] | * [[27/14]] – its [[octave complement]] | ||
* [[ | * [[List of superparticular intervals]] | ||
* [[Gallery of Just Intervals]] | * [[Gallery of Just Intervals]] | ||
* [[Trienstonic clan]], where it is tempered out | |||
* [[Wikipedia:Septimal third tone|Septimal third tone - Wikipedia]] | * [[Wikipedia:Septimal third tone|Septimal third tone - Wikipedia]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Interval]] | [[Category:Interval]] | ||
[[Category:Ratio]] | |||
[[Category:Superparticular]] | [[Category:Superparticular]] | ||
[[Category:Second]] | [[Category:Second]] | ||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Third tone]] | [[Category:Third tone]] | ||
Revision as of 09:39, 15 October 2020
| Interval information |
septimal third-tone,
subminor second,
septimal minor second
reduced
[sound info]
The superparticular interval 28/27 (also small 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.
Although called a chroma for its proximity (and conflation in systems like septimal meantone) with the classic chroma 25/24, 28/27 is a diatonic semitone in both Helmholtz-Ellis notation and Functional Just System because it is 64/63 smaller than the Pythagorean minor second 256/243. Hence, it may be described as the septimal minor second or subminor second if treated as an interval in its own right. This is analogous to the septimal major second 8/7, which has the same relationship with 9/8, and such classification suggests the function of a strong leading tone added to the traditional harmony.
See also
- 27/14 – its octave complement
- List of superparticular intervals
- Gallery of Just Intervals
- Trienstonic clan, where it is tempered out
- Septimal third tone - Wikipedia