21/20: Difference between revisions
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== Terminology == | == Terminology == | ||
21/20 is traditionally called a ''chroma'', perhaps for its proximity (and conflation in systems like septimal [[meantone]]) with the major chroma [[135/128]]. However, it is a ''diatonic semitone'' in both [[ | 21/20 is traditionally called a ''chroma'', perhaps for its proximity (and conflation in systems like septimal [[meantone]]) with the major chroma [[135/128]]. However, it is a ''diatonic semitone'' in both [[Helmholtz–Ellis notation]] and [[Functional Just System]], viewed as the Pythagorean minor second [[256/243]] altered by [[5120/5103]]. [[Marc Sabat]] has taken to call it the ''minor diatonic semitone'' in the same material where [[15/14]] is also named as the major chromatic semitone<ref>Marc Sabat. [https://masa.plainsound.org/pdfs/crystal-growth.pdf ''Three Crystal Growth Algorithms in 23-limit constrained Harmonic Space'']. Plainsound Music Edition, 2008.</ref>. | ||
== See also == | == See also == | ||
* [[40/21]] – its [[octave complement]] | * [[40/21]] – its [[octave complement]] | ||
* [[10/7]] – its [[fifth complement]] | * [[10/7]] – its [[fifth complement]] | ||
* [[1ed21/20]] | * [[1ed21/20]] – its [[ambitonal sequence]] | ||
* [[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Septisemi temperaments]], where it is tempered out | * [[Septisemi temperaments]], where it is tempered out | ||
== References == | |||
<references/> | |||
[[Category:Second]] | [[Category:Second]] | ||
Revision as of 11:49, 8 January 2025
| Interval information |
septimal chromatic semitone,
large septimal chroma
reduced
S7 × S8 × S9
[sound info]
21/20 is a small semitone of about 85 cents. It may be found in 7-limit just intonation as, for example, the difference between 4/3 and 7/5, 8/7 and 6/5, or 5/3 and 7/4.
Terminology
21/20 is traditionally called a chroma, perhaps for its proximity (and conflation in systems like septimal meantone) with the major chroma 135/128. However, it is a diatonic semitone in both Helmholtz–Ellis notation and Functional Just System, viewed as the Pythagorean minor second 256/243 altered by 5120/5103. Marc Sabat has taken to call it the minor diatonic semitone in the same material where 15/14 is also named as the major chromatic semitone[1].
See also
- 40/21 – its octave complement
- 10/7 – its fifth complement
- 1ed21/20 – its ambitonal sequence
- List of superparticular intervals
- Gallery of just intervals
- Septisemi temperaments, where it is tempered out
References
- ↑ Marc Sabat. Three Crystal Growth Algorithms in 23-limit constrained Harmonic Space. Plainsound Music Edition, 2008.