2L 10s: Difference between revisions

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Fix pattern.
Chroma-positive
Line 4: Line 4:
| nLargeSteps = 2
| nLargeSteps = 2
| nSmallSteps = 10
| nSmallSteps = 10
| Equalized = 1
| Equalized = 5
| Paucitonic = 0
| Paucitonic = 1
| Pattern = LsssssLsssss
| Pattern = LsssssLsssss
}}
}}
The '''2L 10s''' (or '''1L 5s<1\2>''') [[MOS scale]] contains two [[1L 5s]] patterns per octave.
The '''2L 10s''' (or '''1L 5s<1\2>''') [[MOS scale]] contains two [[1L 5s]] patterns per octave.


It is always proper. Its generator is 1/12edo (100 cents) or smaller and it appears as the chromatic scale of Injera and Shrutar temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root.
It is always proper. Its [[chroma-positive]] generator is between 5\[[12edo|12]] (500{{cent}}) and 1\[[2edo|2]] (600{{cent}}). It appears as the chromatic scale of [[Injera]] and [[Shrutar]] temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root.


== Scale tree ==
''Note: the following table uses the chroma-negative generator.''
{| class="wikitable"
{| class="wikitable"
|-
|-

Revision as of 17:49, 15 August 2022

↖ 1L 9s ↑ 2L 9s 3L 9s ↗
← 1L 10s 2L 10s 3L 10s →
↙ 1L 11s ↓ 2L 11s 3L 11s ↘
Scale structure
Step pattern LsssssLsssss
sssssLsssssL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 5\12 to 1\2 (500.0 ¢ to 600.0 ¢)
Dark 0\2 to 1\12 (0.0 ¢ to 100.0 ¢)
TAMNAMS information
Related to 2L 8s (jaric)
With tunings 2:1 to 1:0 (hard-of-basic)
Related MOS scales
Parent 2L 8s
Sister 10L 2s
Daughters 12L 2s, 2L 12s
Neutralized 4L 8s
2-Flought 14L 10s, 2L 22s
Equal tunings
Equalized (L:s = 1:1) 5\12 (500.0 ¢)
Supersoft (L:s = 4:3) 16\38 (505.3 ¢)
Soft (L:s = 3:2) 11\26 (507.7 ¢)
Semisoft (L:s = 5:3) 17\40 (510.0 ¢)
Basic (L:s = 2:1) 6\14 (514.3 ¢)
Semihard (L:s = 5:2) 13\30 (520.0 ¢)
Hard (L:s = 3:1) 7\16 (525.0 ¢)
Superhard (L:s = 4:1) 8\18 (533.3 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)
ViewTalkEdit

The 2L 10s (or 1L 5s<1\2>) MOS scale contains two 1L 5s patterns per octave.

It is always proper. Its chroma-positive generator is between 5\12 (500 ¢) and 1\2 (600 ¢). It appears as the chromatic scale of Injera and Shrutar temperaments, among others. Injera is the harmonic entropy minimum for this pattern, generating 5/4 by moving up four generators from the root.

Scale tree

Note: the following table uses the chroma-negative generator.

0/2 0
1\22 54.5455
1/20 60
1/18 66.667
2/34 70.588
600/(5+pi)
1/16 75
600/(5+e)
3/46 78.261
600/(6+phi)
2/30 80
3/44 81.818
1/14 85.714
4/54 88.889
600/(5+sqrt(3))
3/40 90
600/(5+phi)
5/66 90.909
600/(5+pi/2)
7/92 91.304
2/26 92.308
5/64 93.75
3/38 94.737
4/50 96
5\62 96.774
1/12 100