3L 1s: Difference between revisions

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{{Infobox MOS
{{Infobox MOS|name=tetric}}
| Periods = 1
{{MOS intro}}
| nLargeSteps = 3
 
| nSmallSteps = 1
== Names ==
| Equalized = 1
TAMNAMS suggests the temperament-agnostic name tetric for this MOS pattern. [[User:MisterShafXen]] calls this scale quasi-tritonic, as this scale has 3 large steps and only a single small step.
| Paucitonic = 1
 
| Pattern = LLLs
== Scale properties ==
}}
{{TAMNAMS use}}
 
=== Intervals ===
{{MOS intervals}}
 
=== Generator chain ===
{{MOS genchain}}


'''3L 1s''' is the MOS pattern LLLs, with generators ranging from 1\4 (one step of [[4edo]] = 300¢) to 1\3 (one step of [[3edo]] = 400¢).
=== Modes ===
{{MOS mode degrees}}


== Modes ==
== Trivia ==
* 3|0 LLLs
This scale can be considered the neutral analogue to pentatonic, as the hard descendants of this scale include neutral[7] {3L 4s) and dicot[10] (dicoid/3L 7s).
* 2|1 LLsL
* 1|2 LsLL
* 0|3 sLLL


== Scale tree ==
== Scale tree ==
Generator ranges:
Generator ranges:
* Chroma-positive generator: 300 cents (1\4) to 400 cents (1\3)
* Chroma-positive generator: 300{{c}} (1\4) to 400{{c}} (1\3)
* Chroma-negative generator: 800 cents (2\3) to 900 cents (3\4)
* Chroma-negative generator: 800{{c}} (2\3) to 900{{c}} (3\4)
 
{{MOS tuning spectrum
{| class="wikitable center-all"
| 9/7 = [[Hanson]]/[[keemun]]
! colspan="6" | Generator
| 11/8 = [[Superkleismic]]
! Cents
| 10/7 = [[Hyperkleismic]]
! L
| 13/8 = Lucas generator (331.672{{c}})
! s
| 9/5 = [[Sixix]]
! L/s
| 9/4 = [[Mohaha]]/[[mohajira]]
! Comments
| 12/5 = [[Hemif]]/[[hemififths]]
|-
| 13/5 = Golden suhajira (354.823{{c}})
| 1\4 || || || || || || 300.000 || 1 || 1 || 1.000 ||
| 11/4 = [[Beatles]]
|-
| 9/2 = [[Sephiroth]]
| || || || || || 6\23 || 313.043 || 6 || 5 || 1.200 ||
| 6/1 = [[Magic]] 
|-
}}
| || || || || 5\19 || || 315.789 || 5 || 4 || 1.250 ||
|-
| || || || || || 9\34 || 317.647 || 9 || 7 || 1.286 || [[Hanson]]/[[keemun]]
|-
| || || || 4\15 || || || 320.000 || 4 || 3 || 1.333 ||
|-
| || || || || || 11\41 || 321.951 || 11 || 8 || 1.375 || [[Superkleismic]]
|-
| || || || || 7\26 || || 323.077 || 7 || 5 || 1.400 ||
|-
| || || || || || 10\37 || 324.324 || 10 || 7 || 1.429 || [[Hyperkleismic]]
|-
| || || 3\11 || || || || 327.273 || 3 || 2 || 1.500 ||
|-
| || || || || || 11\40 || 330.000 || 11 || 7 || 1.571 ||
|-
| || || || || 8\29 || || 331.034 || 8 || 5 || 1.600 ||
|-
| || || || || || 13\47 || 331.915 || 13 || 8 || 1.625 || Golden [[dicot]] (331.6718¢)
|-
| || || || 5\18 || || || 333.333 || 5 || 3 || 1.667 ||
|-
| || || || || || 12\43 || 334.884 || 12 || 7 || 1.714 ||
|-
| || || || || 7\25 || || 336.000 || 7 || 4 || 1.750 ||
|-
| || || || || || 9\32 || 337.500 || 9 || 5 || 1.800 || [[Sixix]]
|-
| || 2\7 || || || || || 342.857 || 2 || 1 || 2.000 || Basic 3L 1s
|-
| || || || || || 9\31 || 348.387 || 9 || 4 || 2.250 || [[Mohaha]]/[[mohajira]]
|-
| || || || || 7\24 || || 350.000 || 7 || 3 || 2.333 ||
|-
| || || || || || 12\41 || 351.220 || 12 || 5 || 2.400 || [[Hemif]]/[[hemififths]]
|-
| || || || 5\17 || || || 352.941 || 5 || 2 || 2.500 ||
|-
| || || || || || 13\44 || 354.545 || 13 || 5 || 2.600 || Golden suhajira (354.8232¢)
|-
| || || || || 8\27 || || 355.556 || 8 || 3 || 2.667 ||
|-
| || || || || || 11\37 || 356.757 || 11 || 4 || 2.750 || [[Beatles]]
|-
| || || 3\10 || || || || 360.000 || 3 || 1 || 3.000 ||
|-
| || || || || || 10\33 || 363.636 || 10 || 3 || 3.333 ||
|-
| || || || || 7\23 || || 365.217 || 7 || 2 || 3.500 ||
|-
| || || || || || 11\36 || 366.667 || 11 || 3 || 3.667 ||
|-
| || || || 4\13 || || || 369.231 || 4 || 1 || 4.000 ||
|-
| || || || || || 9\29 || 372.414 || 9 || 2 || 4.500 || [[Sephiroth]]
|-
| || || || || 5\16 || || 375.000 || 5 || 1 || 5.000 ||
|-
| || || || || || 6\19 || 378.947 || 6 || 1 || 6.000 || [[Magic]]↓
|-
| 1\3 || || || || || || 400.000 || 1 || 0 || → inf ||
|}


[[Category:Scale theory]]
[[Category:Tetrad]]
[[Category:Tetrad]]
[[Category:Abstract MOS patterns]]
[[Category:4-tone scales]]