2L 4s: Difference between revisions

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{{MOS intro}}
{{MOS intro}}


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).
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).


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.
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.


Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.
Srutal/pajara probably has the lowest harmonic entropy of all 6-note mos scales. The near-mos version has even lower harmonic entropy.


== Scale properties ==
== Scale properties ==
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== Scale tree ==
== Scale tree ==
{{MOS tuning spectrum
{{MOS tuning spectrum
| 6/1 = Shrutar ↓
| 9/7 = [[Unidec]]
| 9/2 = [[Injera]] is around here
| 13/8 = Golden [[hedgehog]]/[[echidna]]
| 7/2 = Srutal/Pajara is around here
| 5/3 = Hedgehog (optimal around here)
| 5/3 = Hedgehog and [[echidna]] are around here
| 9/4 = [[Crepuscular]]
| 13/8 = Golden hedgehog/echidna
| 8/3 = [[Octokaidecal]]
| 3/2 = Optimum rank range
| 7/2 = [[Pajara]]
| 9/2 = [[Injera]]
| 6/1 = [[Shrutar]] ↓
}}
}}


[[Category:6-tone scales]]
[[Category:6-tone scales]]