User:Eliora/Proposed concept names: Difference between revisions

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== Keenanose ==
Named like [[commatose]], except the generator is the keenanisma. Defined as 270 & 1619.
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 4375/4374, 151263/151250, 67110351/67108864
Mapping: 1 2 3 3 3,  0 -112 -183 -52 124
Optimal tuning (CTE): ~385/384 = 4.447
Vals: 270, 539, 1619
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 4225/4224, 4375/4374, 6656/6655, 151263/151250
Mapping: 1 2 3 3 3 3, 0 -112 -183 -52 124 189
Optimal tuning (CTE): ~385/384 = 4.447
Vals: 270, 539, 1619
== Ravine ==
== Ravine ==
Defined as the 832 & 1619 temperament.
Defined as the 832 & 1619 temperament.
Line 7: Line 32:
Comma list: 514714375/514434888, 117440512/117406179, 1220703125/1219784832
Comma list: 514714375/514434888, 117440512/117406179, 1220703125/1219784832


Mapping:  
Mapping: 1 26 21 27 -21, 0 -549 -420 -544 550


Optimal tuning (CTE): ~33/32  
Optimal tuning (CTE): ~33/32 = 53.366


=== 13-limit ===
=== 13-limit ===
Line 16: Line 41:
Comma list: 196625/196608, 200000/199927, 2912000/2910897, 3764768/3764475
Comma list: 196625/196608, 200000/199927, 2912000/2910897, 3764768/3764475


Optimal tuning (CTE): ~33/32
Mapping: 1 26 21 27 -21 21, 0 -549 -420 -544 550 -389
 
Optimal tuning (CTE): ~33/32 = 53.366


== Surmarvelpyth ==
== Surmarvelpyth ==

Revision as of 10:19, 14 September 2022

Keenanose

Named like commatose, except the generator is the keenanisma. Defined as 270 & 1619.

11-limit

Subgroup: 2.3.5.7.11

Comma list: 4375/4374, 151263/151250, 67110351/67108864

Mapping: 1 2 3 3 3, 0 -112 -183 -52 124

Optimal tuning (CTE): ~385/384 = 4.447

Vals: 270, 539, 1619

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 4225/4224, 4375/4374, 6656/6655, 151263/151250

Mapping: 1 2 3 3 3 3, 0 -112 -183 -52 124 189

Optimal tuning (CTE): ~385/384 = 4.447

Vals: 270, 539, 1619

Ravine

Defined as the 832 & 1619 temperament.

11-limit

Subgroup: 2.3.5.7.11

Comma list: 514714375/514434888, 117440512/117406179, 1220703125/1219784832

Mapping: 1 26 21 27 -21, 0 -549 -420 -544 550

Optimal tuning (CTE): ~33/32 = 53.366

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 196625/196608, 200000/199927, 2912000/2910897, 3764768/3764475

Mapping: 1 26 21 27 -21 21, 0 -549 -420 -544 550 -389

Optimal tuning (CTE): ~33/32 = 53.366

Surmarvelpyth

Named because the generator fifth is 225/224 sharp of 3/2. Defined as the 311 & 742 temperament to the 19-limit.

19-limit

Subgroup: 2.3.5.7.11.13.17.19

Comma list: 2926/2925, 4096/4095, 3136/3135, 12376/12375, 5985/5984, 11016/11011

Mapping:

Optimal tuning (CTE): ~675/448 = 709.972

Protactinium

Defined as a 364 & 1547 temperament, has a period of 91, hence named after the 91st element.

13-limit

Subgroup: 2.3.5.7.11.13

Comma list: 4096/4095, 91125/91091, 2912000/2910897, 369754/369603

Mapping: 91 91 371 149 581 390, 0 1 -3 -2 -5 -1

Mapping generators: ~1728/1715, ~3/2

Optimal tuning (CTE): ~3/2 = 702.020c

17-limit

Subgroup: 2.3.5.7.11.13.17

Comma list: 4096/4095, 14400/14399, 42500/42471, 75735/75712, 2100875/2100384

Mapping: 91 91 371 149 581 390 159, 0 1 -3 -2 -5 -1 4

Mapping generators: ~3773/3744, ~3/2

Optimal tuning (CTE): ~3/2 = 702.027c

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