Slendric: Difference between revisions
mNo edit summary |
m made some edits to the scales section but I must emphasize that this is actually **really good** by the standards of temperament pages and a lot more will benefit from such a thorough treatment of scales |
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== Scales == | == Scales == | ||
=== 5-note and 6-note (both proper) === | === 5-note and 6-note (both proper) === | ||
The 5-note [[MOS]] of slendric is [[1L 4s|Lssss]], in which L is [[7/6]] and s is [[8/7]]; this serves as an approximation to [[5edo]]. This expands to the 6-note MOS, [[5L 1s|LLLLLs]], in which L is 8/7 and s is the characteristic small interval of slendric (sometimes known as the "quark") representing both [[64/63]] and [[49/48]]. | |||
Both of these scales are somewhat lacking in harmonic resources relative to similar-sized scales of other temperaments. Even within the 2.3.7 subgroup, [[Superpyth|archy]] and [[Semaphore|semaphore]] have pentatonic scales with more consonant intervals and chords; or if more accuracy is desired a 2.3.7 JI scale could be used. | Both of these scales are somewhat lacking in harmonic resources relative to similar-sized scales of other temperaments. Even within the 2.3.7 subgroup, [[Superpyth|archy]] and [[Semaphore|semaphore]] have pentatonic scales with more consonant intervals and chords; or if more accuracy is desired a 2.3.7 [[JI]] scale could be used. | ||
Slendric really shines when used with larger scales than these. The 5-note MOS, however, has a special role in organizing the intervals of slendric because it is so close to [[ | Slendric really shines when used with larger scales than these. The 5-note MOS, however, has a special role in organizing the intervals of slendric because it is so close to [[5edo]] - that is, slendric is very suitable for a pentatonic framework of categorization, rather than a heptatonic/diatonic one. | ||
=== 11-note (LsLsLsLsLss, improper) === | === 11-note (LsLsLsLsLss, improper) === | ||
The 11-note MOS has 9/8 "whole tones" in alternation with ~32 cent "sixth tones", with the exception of one pair of adjacent "sixth tones". | The 11-note MOS, [[5L 6s|LsLsLsLsLss]], has [[9/8]] "whole tones" in alternation with ~32 cent "sixth tones", with the exception of one pair of adjacent "sixth tones". | ||
{| class="wikitable" | {| class="wikitable" | ||
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|- | |- | ||
| JI intervals represented | | JI intervals represented | ||
| | | 49/48, 64/63 | ||
| | | 28/27 | ||
| 7/6 | | 7/6 | ||
| 32/27 | | 32/27 | ||
| 4/3 | | 4/3 | ||
| 49/36 | | 49/36 | ||
| 32/21 | | 32/21, 49/32 | ||
| 14/9 | | 14/9 | ||
| 7/4 | | 7/4 | ||
| Line 155: | Line 155: | ||
| 8/7 | | 8/7 | ||
| 9/7 | | 9/7 | ||
| 21/16 | | 21/16, 64/49 | ||
| 72/49 | | 72/49 | ||
| 3/2 | | 3/2 | ||
| 27/16 | | 27/16 | ||
| 12/7 | | 12/7 | ||
| | | 27/14 | ||
| | | 63/32, 96/49 | ||
|} | |} | ||
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| 7/6 | | 7/6 | ||
| 4/3 | | 4/3 | ||
| 32/21 | | 32/21, 49/32 | ||
| 7/4 | | 7/4 | ||
|- | |- | ||