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The only scale with this [[MOSScales|MOS]] pattern that's a really significant minimum of harmonic entropy is [[Diaschismic_family|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is '''half''' of that (about a quartertone), so 3/2 is a period plus two generators; and [[Porcupine_family#Hedgehog|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).
{{MOS intro}}


In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.
The only scale with this mos pattern that is a really significant minimum of [[harmonic entropy]] is [[srutal]]/[[pajara]], in which the period plus the generator is 3/2. Other scales include [[shrutar]], in which the generator is ''half'' of that (about a [[quartertone]]), so 3/2 is a period plus two generators; and [[hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it does not appear in this mos).


Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.
In addition to the true mos with pattern LssLss, all these scales also come in a near-mos version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.


{| class="wikitable"
Srutal/pajara probably has the lowest harmonic entropy of all 6-note mos scales. The near-mos version has even lower harmonic entropy.
|-
! colspan="11" | Generator
! | Cents
! | Comments
|-
| | 0\2
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 0
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 1\24
| |
| | 50
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 2\46
| | 52.17
| style="text-align:center;" | Shrutar is around here
|-
| |
| |
| |
| |
| |
| |
| |
| |
| | 1\22
| |
| |
| | 54.55
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| | 1\20
| |
| |
| |
| | 60
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 1\18
| |
| |
| |
| |
| | 66.67
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 1\16
| |
| |
| |
| |
| |
| | 75
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 1\14
| |
| |
| |
| |
| |
| |
| | 85.71
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| | 2\26
| |
| |
| |
| |
| |
| | 92.31
| style="text-align:center;" | Injera is around here
|-
| |
| |
| |
| | 1\12
| |
| |
| |
| |
| |
| |
| |
| | 100
| style="text-align:center;" | L/s = 4
|-
| |
| |
| |
| |
| | 2\22
| |
| |
| |
| |
| |
| |
| | 109.09
| style="text-align:center;" | Srutal/Pajara is around here
|-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 600/(2+pi)
| |
|-
| |
| |
| | 1\10
| |
| |
| |
| |
| |
| |
| |
| |
| | 120
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 600/(2+e)
| |
|-
| |
| |
| |
| |
| | 3/28
| |
| |
| |
| |
| |
| |
| | 128.57
| |
|-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 600/(3+phi)
| |
|-
| |
| |
| |
| | 2/18
| |
| |
| |
| |
| |
| |
| |
| | 133.33
| |
|-
| |
| | 1\8
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 150
| style="text-align:center;" | Boundary of propriety (generators


larger than this are proper)
== Scale properties ==
|-
{{TAMNAMS use}}
| |
 
| |
=== Intervals ===
| |
{{MOS intervals}}
| |
 
| |
=== Generator chain ===
| |
{{MOS genchain}}
| |
 
| |
=== Modes ===
| |
{{MOS mode degrees}}
| |
 
| |
== Scale tree ==
| | 600/(2+sqrt(3))
{{MOS tuning spectrum
| |
| 9/7 = [[Unidec]]
|-
| 13/8 = Golden [[hedgehog]]/[[echidna]]
| |
| 5/3 = Hedgehog (optimal around here)
| |
| 9/4 = [[Crepuscular]]
| |
| 8/3 = [[Octokaidecal]]
| | 3\22
| 7/2 = [[Pajara]]
| |
| 9/2 = [[Injera]]
| |
| 6/1 = [[Shrutar]] ↓
| |
}}
| |
 
| |
[[Category:6-tone scales]]
| |
| |
| | 163.64
| style="text-align:center;" | Hedgehog and echidna are both around here
|-
| |
| |
| |
| |
| |
| | 8\58
| |
| |
| |
| |
| |
| | 165.52
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 600/(2+phi)
| style="text-align:center;" | Golden hedgehog/echidna
|-
| |
| |
| |
| |
| |
| |
| | 13\94
| |
| |
| |
| |
| | 165.96
| style="text-align:center;" |
|-
| |
| |
| |
| |
| | 5\36
| |
| |
| |
| |
| |
| |
| | 166.67
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 600/(2+pi/2)
| |
|-
| |
| |
| | 2\14
| |
| |
| |
| |
| |
| |
| |
| |
| | 171.43
| style="text-align:center;" | Optimum rank range (L/s=3/2)
|-
| | 1\6
| |
| |
| |
| |
| |
| |
| |
| |
| |
| |
| | 200
| style="text-align:center;" |
|}
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