1L 7s: Difference between revisions
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I moved this to the top since bohlen-pierce proximity makes this just too notable to not be put on the bottom of the page |
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This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, [[Chromatic_pairs #Bleu|bleu]]. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps. | This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, [[Chromatic_pairs #Bleu|bleu]]. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps. | ||
In 33edo and 41edo, one short step of this scale is close to the one step of [[Bohlen-Pierce]], or [[bohpier]], octave temperament which has a relationship with BP. The 33edo scale is notable outside of music in that this scale is a leap year pattern of the tabular Iranian calendar, where the leap year is inserted 7 times once in 4 years, with 1 gap of 5 years. | |||
== Modes == | == Modes == | ||
* 7|0 Lsssssss | * 7|0 Lsssssss | ||
| Line 101: | Line 102: | ||
| 0\1 || || || || || || 0.000 || 1 || 0 || → inf || | | 0\1 || || || || || || 0.000 || 1 || 0 || → inf || | ||
|} | |} | ||
[[Category:Abstract MOS patterns]] | [[Category:Abstract MOS patterns]] | ||
[[Category:8-tone scales]] | [[Category:8-tone scales]] | ||
Revision as of 16:03, 6 June 2022
| ↑ 1L 6s | 2L 6s ↗ | |
| 1L 7s | 2L 7s → | |
| ↓ 1L 8s | 2L 8s ↘ |
Scale structure
sssssssL
Generator size
TAMNAMS information
Related MOS scales
Equal tunings
1L 7s is the MOS pattern Lsssssss with small steps ranging from 0\1 (0¢) to 1\8 (one step of 8edo = 150¢).
This MOS pattern is somewhat of a wasteland as far as low-harmonic-entropy scales are concerned. However, there is one interesting no-5's scale, bleu. In this scale, 5 steps make a 3/2, and the chord 11:12:13:14 is represented as three equal steps.
In 33edo and 41edo, one short step of this scale is close to the one step of Bohlen-Pierce, or bohpier, octave temperament which has a relationship with BP. The 33edo scale is notable outside of music in that this scale is a leap year pattern of the tabular Iranian calendar, where the leap year is inserted 7 times once in 4 years, with 1 gap of 5 years.
Modes
- 7|0 Lsssssss
- 6|1 sLssssss
- 5|2 ssLsssss
- 4|3 sssLssss
- 3|4 ssssLsss
- 2|5 sssssLss
- 1|6 ssssssLs
- 0|7 sssssssL
Scale tree
Generator ranges:
- Chroma-positive generator: 1050 cents (7\8) to 1200 cents (1\1)
- Chroma-negative generator: 0 cents (0\1) to 150 cents (1\8)
| Small step (chroma-negative generator) |
Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 1\8 | 150.000 | 1 | 1 | 1.000 | ||||||
| 5\41 | 146.341 | 6 | 5 | 1.200 | Bohpier | |||||
| 4\33 | 145.455 | 5 | 4 | 1.250 | ||||||
| 7\58 | 144.828 | 9 | 7 | 1.286 | ||||||
| 3\25 | 144.000 | 4 | 3 | 1.333 | ||||||
| 8\67 | 143.284 | 11 | 8 | 1.375 | ||||||
| 5\42 | 142.857 | 7 | 5 | 1.400 | ||||||
| 7\59 | 142.373 | 10 | 7 | 1.429 | ||||||
| 2\17 | 141.176 | 3 | 2 | 1.500 | ||||||
| 7\60 | 140.000 | 11 | 7 | 1.571 | Bleu | |||||
| 5\43 | 139.535 | 8 | 5 | 1.600 | Jerome/bleu | |||||
| 8\69 | 139.130 | 13 | 8 | 1.625 | Golden jerome (139.2429¢) | |||||
| 3\26 | 138.462 | 5 | 3 | 1.667 | ||||||
| 7\61 | 137.705 | 12 | 7 | 1.714 | ||||||
| 4\35 | 137.143 | 7 | 4 | 1.750 | ||||||
| 5\44 | 136.364 | 9 | 5 | 1.800 | Twothirdtonic | |||||
| 1\9 | 133.333 | 2 | 1 | 2.000 | Basic 1L 7s (small steps larger than this are proper) | |||||
| 4\37 | 129.730 | 9 | 4 | 2.250 | ||||||
| 3\28 | 128.571 | 7 | 3 | 2.333 | ||||||
| 5\47 | 127.660 | 12 | 5 | 2.400 | ||||||
| 2\19 | 126.316 | 5 | 2 | 2.500 | Negri | |||||
| 5\48 | 125.000 | 13 | 5 | 2.600 | Golden negri (124.7656¢) | |||||
| 3\29 | 124.138 | 8 | 3 | 2.667 | ||||||
| 4\39 | 123.077 | 11 | 4 | 2.750 | ||||||
| 1\10 | 120.000 | 3 | 1 | 3.000 | ||||||
| 3\31 | 116.129 | 10 | 3 | 3.333 | Miracle | |||||
| 2\21 | 114.286 | 7 | 2 | 3.500 | ||||||
| 3\32 | 112.500 | 11 | 3 | 3.667 | ||||||
| 1\11 | 109.091 | 4 | 1 | 4.000 | ||||||
| 2\23 | 104.348 | 9 | 2 | 4.500 | ||||||
| 1\12 | 100.000 | 5 | 1 | 5.000 | Passion, ripple | |||||
| 1\13 | 92.308 | 6 | 1 | 6.000 | ||||||
| 0\1 | 0.000 | 1 | 0 | → inf | ||||||