4L 5s: Difference between revisions

Ganaram inukshuk (talk | contribs)
Added todo-cleanup
There was only a single occurrence of "orwelloid", lol
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{{Todo|cleanup|comment=Mos name is no longer "orwelloid", it's currently "gramitonic"|inline=1}}
: ''For the tritave-equivalent 4L 5s pattern, see [[4L 5s (3/1-equivalent)]].''
: ''For the tritave-equivalent 4L 5s pattern, see [[4L 5s (3/1-equivalent)]].''


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}}
}}
{{MOS intro}}
{{MOS intro}}
== Names ==
== Names ==
The [[TAMNAMS]] name for this pattern is '''gramitonic''' (from ''grave minor third'').
The [[TAMNAMS]] name for this pattern is '''gramitonic''' (from ''grave minor third'').
== Notation ==
== Notation ==


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| || || || || || 14\61 || 275.410 || 9 || 5 || 1.800 ||
| || || || || || 14\61 || 275.410 || 9 || 5 || 1.800 ||
|-
|-
| || 3\13 || || || || || 276.923 || 2 || 1 || 2.000 || Basic orwelloid<br>(Generators smaller than this are proper)
| || 3\13 || || || || || 276.923 || 2 || 1 || 2.000 || Basic gramitonic<br>(Generators smaller than this are proper)
|-
|-
| || || || || || 13\56 || 278.571 || 9 || 4 || 2.250 ||
| || || || || || 13\56 || 278.571 || 9 || 4 || 2.250 ||
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Note that between 7\31 and 5\22, g approximates frequency ratio 7:6, 2g approximates 11:8, and 3g approximates 8:5. This defines the range of Orwell Temperament, which is the only notable harmonic entropy minimum with this MOS pattern. 4L 5s scales outside of that range are not suitable for Orwell.
Note that between 7\31 and 5\22, g approximates frequency ratio 7:6, 2g approximates 11:8, and 3g approximates 8:5. This defines the range of Orwell Temperament, which is the only notable harmonic entropy minimum with this MOS pattern. 4L 5s scales outside of that range are not suitable for Orwell.


[[Category:MOS Scales]]
[[Category:9-tone scales]]
[[Category:Gramitonic]] <!-- main article -->
[[Category:Gramitonic]] <!-- main article -->