Very high accuracy temperaments: Difference between revisions

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Line 6: Line 6:
Map: [<1 5 1|, <0 31 -12|]
Map: [<1 5 1|, <0 31 -12|]


EDOs: [[118edo|118]], [[935edo|935]], 1053, [[1171edo|1171]], 1289, 1407, 2224, [[2460edo|2460]]
EDOs: [[118edo|118]], [[935edo|935]], [[1053edo|1053]], [[1171edo|1171]], [[1289edo|1289]], [[1407edo|1407]], [[2224edo|2224]], [[2460edo|2460]]


Badness: 0.0628
Badness: 0.0628
Line 17: Line 17:
Map: [<1 -16 -11|, <0 33 25|]
Map: [<1 -16 -11|, <0 33 25|]


EDOs: [[289edo|289]], [[441edo|441]], [[730edo|730]], [[1171edo|1171]], 1612, 1901, 2631
EDOs: [[289edo|289]], [[441edo|441]], [[730edo|730]], [[1171edo|1171]], [[1612edo|1612]], [[1901edo|1901]], [[2631edo|2631]]


Badness: 0.0257
Badness: 0.0257
Line 28: Line 28:
Map: [<1 0 -27|, <0 2 37|]
Map: [<1 0 -27|, <0 2 37|]


EDOs: [[53edo|53]], 506, 559, [[612edo|612]], [[1783edo|1783]], 2954, 6520
EDOs: [[53edo|53]], [[506edo|506]], [[559edo|559]], [[612edo|612]], [[1783edo|1783]], [[2954edo|2954]], [[6520edo|6520]]


Badness: 0.0104
Badness: 0.0104
Line 39: Line 39:
Map: [<1 15 16|, <0 -51 -52|]
Map: [<1 15 16|, <0 -51 -52|]


EDOs: [[441edo|441]], 901, 1342, [[1783edo|1783]], 2224, [[3125edo|3125]], 4467, 4908
EDOs: [[441edo|441]], [[901edo|901]], [[1342edo|1342]], [[1783edo|1783]], [[2224edo|2224]], [[3125edo|3125]], [[4467edo|4467]], [[4908edo|4908]]


Badness: 0.0418
Badness: 0.0418
Line 50: Line 50:
Map: [<1 -1 11|, <0 14 -47|]
Map: [<1 -1 11|, <0 14 -47|]


EDOs: [[612edo|612]], 1289, 1901, [[2513edo|2513]], [[3125edo|3125]], 3737, 4414, 5638
EDOs: [[612edo|612]], [[1289edo|1289]], [[1901edo|1901]], [[2513edo|2513]], [[3125edo|3125]], [[3737edo|3737]], [[4414edo|4414]], [[5638edo|5638]]


Badness: 0.0279
Badness: 0.0279
Line 61: Line 61:
Map: [<1 11 19|, <0 -35 -62|]
Map: [<1 11 19|, <0 -35 -62|]


EDOs: [[171edo|171]], [[1171edo|1171]], 1342, [[2513edo|2513]], [[3684edo|3684]], 3855, 4855, 6197
EDOs: [[171edo|171]], [[1171edo|1171]], [[1342edo|1342]], [[2513edo|2513]], [[3684edo|3684]], [[3855edo|3855]], [[4855edo|4855]], [[6197edo|6197]]


Badness: 0.0212
Badness: 0.0212
Line 72: Line 72:
Map: [<1 -2 4|, <0 47 -22|]
Map: [<1 -2 4|, <0 47 -22|]


EDOs: [[118edo|118]], [[1783edo|1783]], 1901, [[3684edo|3684]], 5467, [[5585edo|5585]], 7250,
EDOs: [[118edo|118]], [[1783edo|1783]], 1901, [[3684edo|3684]], [[5467edo|5467]], [[5585edo|5585]], [[7250edo|7250]]


Badness: 0.0463
Badness: 0.0463
=Raider=
Comma: |71 -99 37>
POTE generator: ~8000/6561 = 343.2961
Map: [<1 -9 -26|, <0 37 99|]
EDOs: [[1171edo|1171]], 1954, [[3125edo|3125]], [[4296edo|4296]], [[5467edo|5467]], [[7421edo|7421]], [[9763edo|9763]], [[14059edo|14059]], [[18355edo|18355]]
Badness: 0.0129


=Pirate=
=Pirate=
Line 83: Line 94:
Map: [<1 -6 0|, <0 49 15|]
Map: [<1 -6 0|, <0 49 15|]


EDOs: [[730edo|730]], [[1783edo|1783]], [[2513edo|2513]], [[4296edo|4296]], [[6079edo|6079]], 6809, 10375, 11105
EDOs: [[730edo|730]], [[1783edo|1783]], [[2513edo|2513]], [[4296edo|4296]], [[6079edo|6079]], [[6809edo|6809]], [[10375edo|10375]], [[11105edo|11105]]


Badness: 0.0057
Badness: 0.0057
=Raider=
Comma: |71 -99 37>
POTE generator: ~8000/6561 = 343.2961
Map: [<1 -9 -26|, <0 37 99|]
EDOs: [[1171edo|1171]], 1954, [[3125edo|3125]], [[4296edo|4296]], 5467, 7421, 9763, 14059, [[18355edo|18355]]
Badness: 0.0129


=Atomic=
=Atomic=
Line 105: Line 105:
Map: [<12 0 161|, <0 1 -7|]
Map: [<12 0 161|, <0 1 -7|]


EDOs: [[12edo|12]], 576, 588, 600, [[612edo|612]], 624, 636, 648, 2460, 3072, [[3684edo|3684]], [[4296edo|4296]], 7980, [[12276edo|12276]], 16572, 20868
EDOs: [[12edo|12]], 576, 588, 600, [[612edo|612]], 624, 636, 648, [[2460edo|2460]], 3072, [[3684edo|3684]], [[4296edo|4296]], [[7980edo|7980]], [[12276edo|12276]], [[16572edo|16572]], [[20868edo|20868]]


Badness: 0.0038
Badness: 0.0038

Revision as of 06:27, 7 December 2018

Astro

Comma: |91 -12 -31>

POTE generator: ~296630859375/274877906944 = 132.1947

Map: [<1 5 1|, <0 31 -12|]

EDOs: 118, 935, 1053, 1171, 1289, 1407, 2224, 2460

Badness: 0.0628

Whoosh

Comma: |37 25 -33>

POTE generator: ~864/625 = 560.5468

Map: [<1 -16 -11|, <0 33 25|]

EDOs: 289, 441, 730, 1171, 1612, 1901, 2631

Badness: 0.0257

Monzismic

Comma: |54 -37 2> = 450359962737049600 / 450283905890997363

POTE generator: ~387420489/335544320 = 249.0184

Map: [<1 0 -27|, <0 2 37|]

EDOs: 53, 506, 559, 612, 1783, 2954, 6520

Badness: 0.0104

Egads

Comma: |-36 -52 51>

POTE generator: ~6/5 = 315.6479

Map: [<1 15 16|, <0 -51 -52|]

EDOs: 441, 901, 1342, 1783, 2224, 3125, 4467, 4908

Badness: 0.0418

Fortune

Comma: |-107 47 14>

POTE generator: ~8388608/7381125 = 221.5679

Map: [<1 -1 11|, <0 14 -47|]

EDOs: 612, 1289, 1901, 2513, 3125, 3737, 4414, 5638

Badness: 0.0279

Senior

Comma: |-17 62 -35>

POTE generator: ~94143178827/78125000000 = 322.8014

Map: [<1 11 19|, <0 -35 -62|]

EDOs: 171, 1171, 1342, 2513, 3684, 3855, 4855, 6197

Badness: 0.0212

Gross

Comma: |144 -22 -47>

POTE generator: ~1953125000000000/1853020188851841 = 91.5310

Map: [<1 -2 4|, <0 47 -22|]

EDOs: 118, 1783, 1901, 3684, 5467, 5585, 7250

Badness: 0.0463

Raider

Comma: |71 -99 37>

POTE generator: ~8000/6561 = 343.2961

Map: [<1 -9 -26|, <0 37 99|]

EDOs: 1171, 1954, 3125, 4296, 5467, 7421, 9763, 14059, 18355

Badness: 0.0129

Pirate

Comma: |-90 -15 49>

POTE generator: ~1358954496/1220703125 = 185.7542

Map: [<1 -6 0|, <0 49 15|]

EDOs: 730, 1783, 2513, 4296, 6079, 6809, 10375, 11105

Badness: 0.0057

Atomic

Comma: |161 -84 -12>

POTE generator: ~32805/32768 = 1.95516

Map: [<12 0 161|, <0 1 -7|]

EDOs: 12, 576, 588, 600, 612, 624, 636, 648, 2460, 3072, 3684, 4296, 7980, 12276, 16572, 20868

Badness: 0.0038

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