2L 2s: Difference between revisions

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This tetrad has the special property that it is the smallest collection of notes which can create the feeling of "completely representing<span style="line-height: 1.5;">" a particular regular temperament in a "standard" way. However, it only works in even-numbered edxs, for it contains sqrt(x), and it becomes a very weakly "complete" representation of a regular temperament as L:s grows large.</span>
{{Infobox MOS
| Name =
| Periods = 2
| nLargeSteps = 2
| nSmallSteps = 2
| Equalized = 1
| Paucitonic = 1
| Pattern = LsLs
}}
'''2L 2s''' is the [[MOS]] pattern LsLs, with generators ranging from 1\4 (one step of [[4edo]] = 300¢) to 1\2 (semioctave, 600¢).  


Golden bi-equal tetrad: major 0-phi-phi+1-2*phi+1, minor 0-1-phi+1-phi+2/(2*phi+2)edx
[[Category:Scale theory]]
 
[[Category:Tetrad]]
in edo: major 0-370.82-600-970.82 cents, minor 0-229.18-600-829.18 cents
[[Category:Abstract MOS patterns]]
 
Natural logarithm bi-equal tetrad: major 0-e-e+1-2e+1, minor 0-1-e+1-e+2/(2e+2)edx
 
in edo: major 0-438.635.82-600-1038.635 cents, minor 0-162.365-600-762.365 cents
 
Bi-equal wheel tetrad: major 0-pi-pi+1-tau+1, minor 0-1-pi+1-pi+2/(2*tau+2)edx
 
in edo: major 0-455.128-600-1055.128 cents, <span style="line-height: 1.5;">minor 0-144.872-600-744.872 cents</span>

Revision as of 13:12, 31 December 2021

↖ 1L 1s ↑ 2L 1s 3L 1s ↗
← 1L 2s 2L 2s 3L 2s →
↙ 1L 3s ↓ 2L 3s 3L 3s ↘ 
┌╥┬╥┬┐
│║│║││
││││││
└┴┴┴┴┘
Scale structure
Step pattern LsLs
sLsL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 1\4 to 1\2 (300.0 ¢ to 600.0 ¢)
Dark 0\2 to 1\4 (0.0 ¢ to 300.0 ¢)
TAMNAMS information
Name biwood
Prefix biwd-
Abbrev. bw
Related MOS scales
Parent none
Sister 2L 2s (self)
Daughters 4L 2s, 2L 4s
Neutralized 4edo
2-Flought 6L 2s, 2L 6s
Equal tunings
Equalized (L:s = 1:1) 1\4 (300.0 ¢)
Supersoft (L:s = 4:3) 4\14 (342.9 ¢)
Soft (L:s = 3:2) 3\10 (360.0 ¢)
Semisoft (L:s = 5:3) 5\16 (375.0 ¢)
Basic (L:s = 2:1) 2\6 (400.0 ¢)
Semihard (L:s = 5:2) 5\14 (428.6 ¢)
Hard (L:s = 3:1) 3\8 (450.0 ¢)
Superhard (L:s = 4:1) 4\10 (480.0 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)

2L 2s is the MOS pattern LsLs, with generators ranging from 1\4 (one step of 4edo = 300¢) to 1\2 (semioctave, 600¢).

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