2L 6s: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
m +categories
Inthar (talk | contribs)
m Jaratonic might be a good name because of pajara and injera; remove "I" statement
Line 1: Line 1:
{{Infobox MOS
{{Infobox MOS
| Name = ?
| Name = jaratonic?
| Periods = 2
| Periods = 2
| nLargeSteps = 2
| nLargeSteps = 2
Line 9: Line 9:
}}
}}


Two notable harmonic entropy minima for this [[MOSScales|MOS]] pattern are [[Diaschismic_family|srutal/pajara]] and shrutar. They are both improper. As for proper scales, I can't think of any.
Two notable harmonic entropy minima for this [[MOSScales|MOS]] pattern are [[Diaschismic_family|srutal/pajara]] and shrutar. They are both improper.  


In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only generic interval represented by more than two specific intervals.
In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only generic interval represented by more than two specific intervals.

Revision as of 22:25, 25 March 2021

↖ 1L 5s ↑ 2L 5s 3L 5s ↗
← 1L 6s 2L 6s 3L 6s →
↙ 1L 7s ↓ 2L 7s 3L 7s ↘
┌╥┬┬┬╥┬┬┬┐
│║│││║││││
││││││││││
└┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LsssLsss
sssLsssL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 3\8 to 1\2 (450.0 ¢ to 600.0 ¢)
Dark 0\2 to 1\8 (0.0 ¢ to 150.0 ¢)
TAMNAMS information
Name subaric
Prefix subar-
Abbrev. sb
Related MOS scales
Parent 2L 4s
Sister 6L 2s
Daughters 8L 2s, 2L 8s
Neutralized 4L 4s
2-Flought 10L 6s, 2L 14s
Equal tunings
Equalized (L:s = 1:1) 3\8 (450.0 ¢)
Supersoft (L:s = 4:3) 10\26 (461.5 ¢)
Soft (L:s = 3:2) 7\18 (466.7 ¢)
Semisoft (L:s = 5:3) 11\28 (471.4 ¢)
Basic (L:s = 2:1) 4\10 (480.0 ¢)
Semihard (L:s = 5:2) 9\22 (490.9 ¢)
Hard (L:s = 3:1) 5\12 (500.0 ¢)
Superhard (L:s = 4:1) 6\14 (514.3 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)

Two notable harmonic entropy minima for this MOS pattern are srutal/pajara and shrutar. They are both improper.

In addition to the true MOS form, LsssLsss, these scales also have an interesting near-MOS form, LssLssss, in which the period is the only generic interval represented by more than two specific intervals.

Generator Cents Comments
0\2 0
1\26 46.15
1\24 50
2\46 52.17 Shrutar is around here
1\22 54.55
1\20 60
1\18 66.67
1\16 75
1\14 85.71 L/s = 4
600/(3+pi) L/s = pi
1\12 100 L/s = 3
600/(3+e) L/s = e
3\34 105.88 Srutal/Pajara is around here
8\90 106.67
21\236 106.78
34\382 106.81
13\146 106.85
5\56 107.14
2\22 109.09
1\10 120 Boundary of propriety

(generators larger than this are proper)

600/(3+sqrt(3))
3\28 128.57 Supersharp
8\74 129.73 Supersharp
21\194 129.9
55\508 129.92 Unnamed golden temperament
34\314 129.94
13\120 130
5\46 130.43 Twothirdtonic
600/(3+pi/2)
2\18 133.33 Optimum rank range (L/s=3/2)
3\26 138.46 `
4\34 141.18
5\42 142.86
11\92 143.48
6\50 144
7\58 144.83
8\66 145.455
9\47 145.95
1\8 150