6L 2s: Difference between revisions

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There is only one significant (though small) harmonic entropy minimum with this MOS pattern: [[Porcupine_family#Hedgehog|hedgehog]], in which two generators are 6/5 and three are 4/3, same as [[porcupine]].
There is only one significant (though small) harmonic entropy minimum with this MOS pattern: [[Porcupine_family#Hedgehog|hedgehog]], in which two generators are 6/5 and three are 4/3, same as [[porcupine]].


6L 2s can be seen as a [[Warped diatonic|warped diatonic scale]], where one additional large step is added to diatonic (5L 2s).
6L 2s can be seen as a [[Warped diatonic|warped diatonic scale]], where one additional large step is added to diatonic (5L 2s).


In addition to the true MOS pattern, there is a near-mos pattern, LLLLsLLs, in which the period is the only interval with more than two varieties. This near-MOS pattern is only proper if the generator is smaller than 2\14. Hedgehog is among these tunings.
In addition to the true MOS pattern, there is a near-mos pattern, LLLLsLLs, in which the period is the only interval with more than two varieties. This near-MOS pattern is only proper if the generator is smaller than 2\14. Hedgehog is among these tunings.
==Intervals==
 
{{MOS intervals}}
== Scale properties ==
== Modes ==
{{TAMNAMS use}}
{{MOS mode degrees}}
{{MOS data}}
===Proposed Names===
 
=== Proposed Names ===
The following mode names are advocated by [[User:Frostburn|Frostburn]] for their dreamy, yet oppressing sound especially in [[20edo]].
The following mode names are advocated by [[User:Frostburn|Frostburn]] for their dreamy, yet oppressing sound especially in [[20edo]].
{{MOS modes|Scale Signature=6L 2s|Mode Names=Paralysis;Nightmare;Succubus;Incubus}}
{{MOS modes
| Scale Signature=6L 2s
| Mode Names=
Paralysis $
Nightmare $
Succubus $
Incubus $
}}


== Scale tree ==
== Scale tree ==
{{Scale tree|Comments=6/5: Bison;
{{MOS tuning spectrum
3/2: [[Hedgehog]] is around here;
| 6/5 = Bison
11/7: Echidna;
| 3/2 = [[Hedgehog]] is around here
13/8: Supers, pogo;
| 11/7 = Echidna
13/5: Golden ekic;
| 13/8 = Supers, pogo
11/3: Unidec;
| 13/5 = Golden ekic
9/2: Secant}}
| 11/3 = Unidec
| 9/2 = Secant
}}
 
== Music ==
== Music ==
; [[User:Frostburn|Frostburn]]
; [[User:Frostburn|Frostburn]]
* [https://youtu.be/nlF6al8MEuk ''Galloping Nightmares''] (2024) - synth metal
* [https://youtu.be/nlF6al8MEuk ''Galloping Nightmares''] (2024) – synth metal
[[Category:Ekic| ]]
[[Category:Ekic| ]]
[[Category:8-tone scales]]
[[Category:8-tone scales]]
  <!-- main article -->
  <!-- main article -->

Revision as of 13:39, 3 March 2025

↖ 5L 1s ↑ 6L 1s 7L 1s ↗
← 5L 2s 6L 2s 7L 2s →
↙ 5L 3s ↓ 6L 3s 7L 3s ↘ 
┌╥╥╥┬╥╥╥┬┐
│║║║│║║║││
││││││││││
└┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLsLLLs
sLLLsLLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 1\8 to 1\6 (150.0 ¢ to 200.0 ¢)
Dark 2\6 to 3\8 (400.0 ¢ to 450.0 ¢)
TAMNAMS information
Name ekic
Prefix ek-
Abbrev. ek
Related MOS scales
Parent 2L 4s
Sister 2L 6s
Daughters 8L 6s, 6L 8s
Neutralized 4L 4s
2-Flought 14L 2s, 6L 10s
Equal tunings
Equalized (L:s = 1:1) 1\8 (150.0 ¢)
Supersoft (L:s = 4:3) 4\30 (160.0 ¢)
Soft (L:s = 3:2) 3\22 (163.6 ¢)
Semisoft (L:s = 5:3) 5\36 (166.7 ¢)
Basic (L:s = 2:1) 2\14 (171.4 ¢)
Semihard (L:s = 5:2) 5\34 (176.5 ¢)
Hard (L:s = 3:1) 3\20 (180.0 ¢)
Superhard (L:s = 4:1) 4\26 (184.6 ¢)
Collapsed (L:s = 1:0) 1\6 (200.0 ¢)

6L 2s, named ekic in TAMNAMS, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 6 large steps and 2 small steps, with a period of 3 large steps and 1 small step that repeats every 600.0 ¢, or twice every octave. Generators that produce this scale range from 150 ¢ to 200 ¢, or from 400 ¢ to 450 ¢. Scales of the true MOS form, where every period is the same, are proper because there is only one small step per period. There is only one significant (though small) harmonic entropy minimum with this MOS pattern: hedgehog, in which two generators are 6/5 and three are 4/3, same as porcupine.

6L 2s can be seen as a warped diatonic scale, where one additional large step is added to diatonic (5L 2s).

In addition to the true MOS pattern, there is a near-mos pattern, LLLLsLLs, in which the period is the only interval with more than two varieties. This near-MOS pattern is only proper if the generator is smaller than 2\14. Hedgehog is among these tunings.

Scale properties

This article uses TAMNAMS conventions for the names of this scale's intervals and scale degrees. The use of 1-indexed ordinal names is reserved for interval regions.
MOS data is deprecated. Please use the following templates individually: MOS intervals, MOS genchain, and MOS mode degrees

Proposed Names

The following mode names are advocated by Frostburn for their dreamy, yet oppressing sound especially in 20edo.

Modes of 6L 2s
UDP Cyclic
order		 Step
pattern		 Mode names
6|0(2) 1 LLLsLLLs Paralysis
4|2(2) 2 LLsLLLsL Nightmare
2|4(2) 3 LsLLLsLL Succubus
0|6(2) 4 sLLLsLLL Incubus

Scale tree

Scale tree and tuning spectrum of 6L 2s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\8 150.000 450.000 1:1 1.000 Equalized 6L 2s
6\46 156.522 443.478 6:5 1.200 Bison
5\38 157.895 442.105 5:4 1.250
9\68 158.824 441.176 9:7 1.286
4\30 160.000 440.000 4:3 1.333 Supersoft 6L 2s
11\82 160.976 439.024 11:8 1.375
7\52 161.538 438.462 7:5 1.400
10\74 162.162 437.838 10:7 1.429
3\22 163.636 436.364 3:2 1.500 Soft 6L 2s
Hedgehog is around here
11\80 165.000 435.000 11:7 1.571 Echidna
8\58 165.517 434.483 8:5 1.600
13\94 165.957 434.043 13:8 1.625 Supers, pogo
5\36 166.667 433.333 5:3 1.667 Semisoft 6L 2s
12\86 167.442 432.558 12:7 1.714
7\50 168.000 432.000 7:4 1.750
9\64 168.750 431.250 9:5 1.800
2\14 171.429 428.571 2:1 2.000 Basic 6L 2s
9\62 174.194 425.806 9:4 2.250
7\48 175.000 425.000 7:3 2.333
12\82 175.610 424.390 12:5 2.400
5\34 176.471 423.529 5:2 2.500 Semihard 6L 2s
13\88 177.273 422.727 13:5 2.600 Golden ekic
8\54 177.778 422.222 8:3 2.667
11\74 178.378 421.622 11:4 2.750
3\20 180.000 420.000 3:1 3.000 Hard 6L 2s
10\66 181.818 418.182 10:3 3.333
7\46 182.609 417.391 7:2 3.500
11\72 183.333 416.667 11:3 3.667 Unidec
4\26 184.615 415.385 4:1 4.000 Superhard 6L 2s
9\58 186.207 413.793 9:2 4.500 Secant
5\32 187.500 412.500 5:1 5.000
6\38 189.474 410.526 6:1 6.000
1\6 200.000 400.000 1:0 → ∞ Collapsed 6L 2s

Music

Frostburn
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