8L 3s: Difference between revisions
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{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! | Generator | ! colspan="6"| Generator | ||
! | !Cents | ||
! | Pentachord steps | ! | Pentachord steps | ||
! | Comments | ! | Comments | ||
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| | 47\128 | | | 47\128 | ||
| | 440.625 | | | 440.625 | ||
| style="text-align:center;" | 13 13 13 8 | | style="text-align:center;" | [[Tel:13 13 13 8|13 13 13 8]] | ||
| style="text-align:center;" | Unnamed golden temperament | | style="text-align:center;" | Unnamed golden temperament | ||
|- | |- | ||
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| | | | | | ||
| | 44\119 | | | 44\119 | ||
| | 443.6975 | | | [[Tel:443.6975|443.6975]] | ||
| style="text-align:center;" | 13 13 13 5 | | style="text-align:center;" | [[Tel:13 13 13 5|13 13 13 5]] | ||
| style="text-align:center;" | Golden Sensi | | style="text-align:center;" | Golden Sensi | ||
|- | |- | ||
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| | | | | | ||
| | 443.7355 | | | [[Tel:443.7355|443.7355]] | ||
| style="text-align:center;" | <span style="display: block; text-align: center;">phi+1 phi+1 phi+1 1</span> | | style="text-align:center;" | <span style="display: block; text-align: center;">phi+1 phi+1 phi+1 1</span> | ||
| | | | | | ||
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| | | | | | ||
| | 443.9385 | | | [[Tel:443.9385|443.9385]] | ||
| style="text-align:center;" | e e e 1 | | style="text-align:center;" | e e e 1 | ||
| | | | | | ||
Revision as of 18:47, 27 July 2021
| ↖ 7L 2s | ↑ 8L 2s | 9L 2s ↗ |
| ← 7L 3s | 8L 3s | 9L 3s → |
| ↙ 7L 4s | ↓ 8L 4s | 9L 4s ↘ |
Scale structure
sLLsLLLsLLL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
The only significant harmonic entropy minimum with this MOS pattern is sensi, in which the generator is 9/7 and two of them make a 5/3.
| Generator | Cents | Pentachord steps | Comments | |||||
|---|---|---|---|---|---|---|---|---|
| 4\11 | 436.364 | 1 1 1 1 | ||||||
| 23\63 | 438.095 | 6 6 6 5 | ||||||
| 19\52 | 438.462 | 5 5 5 4 | ||||||
| 15\41 | 439.024 | 4 4 4 3 | ||||||
| 11\30 | 440 | 3 3 3 2 | Optimum rank range (L/s=3/2) | |||||
| 440.364 | pi pi pi 2 | |||||||
| 29\79 | 440.506 | 8 8 8 5 | ||||||
| 440.592 | phi phi phi 1 | |||||||
| 47\128 | 440.625 | [13 13 8|13 13 13 8] | Unnamed golden temperament | |||||
| 18\49 | 440.816 | 5 5 5 3 | ||||||
| 441.101 | √3 √3 √3 1 | |||||||
| 25\68 | 441.176 | 7 7 7 4 | ||||||
| 7\19 | 442.105 | 2 2 2 1 | Boundary of propriety: generators smaller than this are proper | |||||
| 24\65 | 443.077 | 7 7 7 3 | ||||||
| 17\46 | 443.478 | 5 5 5 2 | Sensi is about here | |||||
| 44\119 | [[1]] | [13 13 5|13 13 13 5] | Golden Sensi | |||||
| [[2]] | phi+1 phi+1 phi+1 1 | |||||||
| 27\73 | 443.836 | 8 8 8 3 | ||||||
| [[3]] | e e e 1 | |||||||
| 10\27 | 444.444 | 3 3 3 1 | ||||||
| 444.668 | pi pi pi 1 | |||||||
| 13\35 | 445.714 | 4 4 4 1 | ||||||
| 16\43 | 446.512 | 5 5 5 1 | ||||||
| 19\51 | 447.059 | 6 6 6 1 | ||||||
| 3\8 | 450 | 1 1 1 0 | ||||||