User:BudjarnLambeth/Breuddwyd scale: Difference between revisions

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A '''sonhar tuning'''{{idiosyncratic}} (''pronounced "sonyar"'') is any scale or [[temperament]] which uses or approximates the JI [[subgroup]] 5.11.13.31.
A '''sonhar tuning'''{{idiosyncratic}} (''pronounced "sonyar"'') is any scale or [[temperament]] which uses or approximates the JI [[subgroup]] 5.11.13.31.


A '''wijzerplaat scale'''{{idiosyncratic}} (''pronounced "why, ser as in deserve, plat as in platypus"'') is any scale which is built by combining a [[MOS scale]] generated by 5\31, a MOS scale generated by 11\31, and a MOS scale generated by 13\31. (''Where n\31 is n steps of [[31edo]] or another 31-tone [[equal tuning]]''.)
A '''wijzerplaat scale'''{{idiosyncratic}} (''pronounced "why, ser as in deserve, plat as in platypus"'') is any scale which is built by combining a scale generated by 5\31, a scale generated by 11\31, and a scale generated by 13\31. (''Where n\31 is n steps of [[31edo]] or another 31-tone [[equal tuning]]''.) Often but not always the three scales are [[MOS scale]]s.


== History and etymology ==
== History and etymology ==
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== Wijzerplaat scales ==
== Wijzerplaat scales ==
All of these scales are tempered by definition. Sometimes multiple MOSes may generate the same tone, which is why when you combine an x-tone, y-tone and z-tone MOS, the total number of tones/octave may still be less than (x+y+z).
All of these scales are tempered by definition. Sometimes multiple scales may generate the same tone, which is why when you combine an x-tone, y-tone and z-tone MOS, the total number of tones/octave may still be less than (x+y+z).


This list is not exhaustive. There are many other possible wijzerplaat scales.  
This list is not exhaustive. There are many other possible wijzerplaat scales.  
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! Tones per period used
! Tones per period used
! Scale pattern
! Scale pattern
! Tones generated by 5\31, 11\31, 13\31
! Tones generated by 5\31, 11\31, 13\31 (mos or not?)
! 5\31 generators up:down, <br>11\31 up:down, <br>13\31 up:down
! 5\31 generators up:down, <br>11\31 up:down, <br>13\31 up:down
! 7 integer limit intervals approximated within 15¢
! 7 integer limit intervals approximated within 15¢
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| [[:Category:9-tone scales|9 tones]] per 31\31 [[Category:9-tone scales]]
| [[:Category:9-tone scales|9 tones]] per 31\31 [[Category:9-tone scales]]
| 5 4 1 3 5 2 1 5 5
| 5 4 1 3 5 2 1 5 5
| 5, 3, 3
| 5(mos), 3(mos), 3(mos)
| 2:2, <br>0:2, <br>1:1
| 2:2, <br>0:2, <br>1:1
| <small>5/4, 4/3, 3/2, 2/1, 5/2, 3/1, 4/1, 5/1, 6/1</small>
| <small>5/4, 4/3, 3/2, 2/1, 5/2, 3/1, 4/1, 5/1, 6/1</small>