6L 2s: Difference between revisions

Ganaram inukshuk (talk | contribs)
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Ganaram inukshuk (talk | contribs)
Rewording; added scale tree
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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, LLLsLLLs, there is also a near-MOS, LLLLsLLs, in which the period is the only interval with more than two varieties. Although the true MOS (LLLsLLLs or its rotations) is always proper, the near-MOS is only proper if the generator is smaller than 2\14 (which includes hedgehog).  
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.


== Modes ==
== Modes ==
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== Scale tree ==
== Scale tree ==
 
{{Scale tree|Comments=6/5: Bison;
{| class="wikitable center-all"
3/2: [[Hedgehog]] is around here;
! colspan="6" | Generator
11/7: Echidna;
! Cents
13/8: Supers, pogo;
! L
13/5: Golden ekic;
! s
11/3: Unidec;
! L/s
9/2: Secant}}
! Comments
|-
| 1\8 || || || || || || 150.000 || 1 || 1 || 1.000 ||
|-
| || || || || || 6\46 || 156.522 || 6 || 5 || 1.200 || Bison
|-
| || || || || 5\38 || || 157.895 || 5 || 4 || 1.250 ||
|-
| || || || || || 9\68 || 158.824 || 9 || 7 || 1.286 ||
|-
| || || || 4\30 || || || 160.000 || 4 || 3 || 1.333 ||
|-
| || || || || || 11\82 || 160.976 || 11 || 8 || 1.375 ||
|-
| || || || || 7\52 || || 161.538 || 7 || 5 || 1.400 ||
|-
| || || || || || 10\74 || 162.162 || 10 || 7 || 1.428 ||
|-
| || || 3\22 || || || || 163.636 || 3 || 2 || 1.500 || L/s = 3/2, hedgehog is around here
|-
| || || || || || 11\80 || 165.000 || 11 || 7 || 1.571 || Echidna
|-
| || || || || 8\58 || || 165.517 || 8 || 5 || 1.600 ||
|-
| || || || || || 13\94 || 165.957 || 13 || 8 || 1.625 || Supers, pogo
|-
| || || || 5\36 || || || 166.667 || 5 || 3 || 1.667 ||
|-
| || || || || || 12\86 || 167.442 || 12 || 7 || 1.714 ||
|-
| || || || || 7\50 || || 168.000 || 7 || 4 || 1.750 ||
|-
| || || || || || 9\64 || 168.750 || 9 || 5 || 1.800 ||
|-
| || 2\14 || || || || || 171.429 || 2 || 1 || 2.000 || Basic ekic<br>(Generators smaller than this are proper)
|-
| || || || || || 9\62 || 174.194 || 9 || 4 || 2.250 ||
|-
| || || || || 7\48 || || 175.000 || 7 || 3 || 2.333 ||
|-
| || || || || || 12\82 || 175.610 || 12 || 5 || 2.400 ||
|-
| || || || 5\34 || || || 176.471 || 5 || 2 || 2.500 ||
|-
| || || || || || 13\88 || 177.273 || 13 || 5 || 2.600 || Golden ekic
|-
| || || || || 8\54 || || 177.778 || 8 || 3 || 2.667 ||
|-
| || || || || || 11\74 || 178.378 || 11 || 4 || 2.750 ||
|-
| || || 3\20 || || || || 180.000 || 3 || 1 || 3.000 || L/s = 3/1
|-
| || || || || || 10\66 || 181.818 || 10 || 3 || 3.333 ||
|-
| || || || || 7\46 || || 182.609 || 7 || 2 || 3.500 ||
|-
| || || || || || 11\72 || 183.333 || 11 || 3 || 3.667 || Unidec
|-
| || || || 4\26 || || || 184.615 || 4 || 1 || 4.000 ||
|-
| || || || || || 9\58 || 186.207 || 9 || 2 || 4.500 || Secant
|-
| || || || || 5\32 || || 187.500 || 5 || 1 || 5.000 ||
|-
| || || || || || 6\38 || 189.474 || 6 || 1 || 6.000 ||
|-
| 1\6 || || || || || || 200.000 || 1 || 0 || → inf ||
|}
 
[[Category:Ekic| ]]
[[Category:Ekic| ]]
[[Category:8-tone scales]]
[[Category:8-tone scales]]
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