Unnoticeable comma: Difference between revisions

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various corrections; harmonized precision (5 significant digits); added some ratios
Line 8: Line 8:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | <span style="display: block; text-align: center;">name(s)</span>
! | name(s)
! | <span style="display: block; text-align: center;">monzo</span>
! | ratio
! | <span style="display: block; text-align: center;">cents</span>
! | monzo
! | cents
|-
|-
| | Sasktel comma, 51-Pythagorean comma
| | Sasktel comma, 51-Pythagorean comma
| | ~ 9.9896×10<sup>145</sup> / 9.9794×10<sup>145</sup>
| | | 485 -306 &gt;
| | | 485 -306 &gt;
| | 1.770
| | 1.7697
|-
|-
| | [[Satanic_comma|Satanic comma]]
| | [[Satanic_comma|Satanic comma]]
| |
| | | -1054 665 &gt;
| | | -1054 665 &gt;
| | 0.076
| | 0.075575
|}
|}


Line 26: Line 29:
|-
|-
! | name(s)
! | name(s)
! | ratio
! | monzo
! | monzo
! | cents
! | cents
|-
| | 56-syntonic comma
| | | 225 -224 56 &gt;
| | 1.431
|-
|-
| | dodifo
| | dodifo
| |
| | | -67 -9 35&gt;
| | | -67 -9 35&gt;
| | 3.385
| | 3.3850
|-
|-
| | [[vishnuzma|vishnuzma]], semisuper
| | [[vishnuzma|vishnuzma]], semisuper
| | 6115295232 / 6103515625
| | | 23 6 -14 &gt;
| | | 23 6 -14 &gt;
| | 3.338
| | 3.3380
|-
|-
| | [[enneadeca|enneadeca]], 19-tone-comma
| | [[enneadeca|enneadeca]], 19-tone-comma
| | 19073486328125 / 19042491875328
| | | -14 -19 19 &gt;
| | | -14 -19 19 &gt;
| | 2.816
| | 2.8155
|-
|-
| | vavoom
| | vavoom
| |
| | | -68 18 17 &gt;
| | | -68 18 17 &gt;
| | 2.523
| | 2.5232
|-
|-
| | tricot comma
| | tricot comma
| | 68719476736000 / 68630377364883
| | | 39 -29 3 &gt;
| | | 39 -29 3 &gt;
| | 2.246
| | 2.2461
|-
|-
| | schisma
| | schisma
| | 32805 / 32768
| | | -15 8 1 &gt;
| | | -15 8 1 &gt;
| | 1.954
| | 1.9537
|-
|-
| | counterschisma
| | counterschisma
| |
| | | -69 45 -1 &gt;
| | | -69 45 -1 &gt;
| | 1.661
| | 1.6613
|-
|-
| | septendecima
| | septendecima
| |
| | | -52 -17 34 &gt;
| | | -52 -17 34 &gt;
| | 1.431
| | 1.4313
|-
|-
| | hemithirds comma, lunama
| | hemithirds comma, lunama
| | 274877906944 / 274658203125
| | | 38 -2 -15 &gt;
| | | 38 -2 -15 &gt;
| | 1.384
| | 1.3843
|-
|-
| | minortone comma
| | minortone comma
| | 50031545098999700 / 50000000000000000
| | | -16 35 -17 &gt;
| | | -16 35 -17 &gt;
| | 1.092
| | 1.0919
|-
|-
| | [[Ennealimmal|ennealimma]]
| | [[Ennealimmal|ennealimma]]
| | 7629394531250 / 7625597484987
| | | 1 -27 18 &gt;
| | | 1 -27 18 &gt;
| | 0.862
| | 0.86183
|-
|-
| | astro
| | astro
| |
| | | 91 -12 -31 &gt;
| | | 91 -12 -31 &gt;
| | 0.815
| | 0.81486
|-
|-
| | kwazy
| | kwazy
| | 9010162353515620 / 9007199254740990
| | | -53 10 16 &gt;
| | | -53 10 16 &gt;
| | 0.569
| | 0.56943
|-
|-
| | whoosh
| | whoosh
| |
| | | 37 25 -33 &gt;
| | | 37 25 -33 &gt;
| | 0.522
| | 0.52246
|-
|-
| | egads
| | egads
| |
| | | -36 -52 51 &gt;
| | | -36 -52 51 &gt;
| | 0.339
| | 0.33936
|-
|-
| | monzisma
| | monzisma
| | 450359962737050000 / 450283905890997000
| | | 54 -37 2 &gt;
| | | 54 -37 2 &gt;
| | 0.292
| | 0.29240
|-
|-
| | fortune
| | fortune
| |
| | | -107 47 14 &gt;
| | | -107 47 14 &gt;
| | 0.277
| | 0.27703
|-
|-
| | gross
| | gross
| |
| | | 144 -22 -47 &gt;
| | | 144 -22 -47 &gt;
| | 0.245
| | 0.24543
|-
|-
| | senior
| | senior
| |
| | | -17 62 -35 &gt;
| | | -17 62 -35 &gt;
| | 0.230
| | 0.23007
|-
|-
| | raider
| | raider
| |
| | | 71 -99 37 &gt;
| | | 71 -99 37 &gt;
| | 0.062
| | 0.062327
|-
|-
| | pirate
| | pirate
| |
| | | -90 -15 49 &gt;
| | | -90 -15 49 &gt;
| | 0.047
| | 0.046966
|-
|-
| | viking
| | viking
| |
| | | -251 69 61 &gt;
| | | -251 69 61 &gt;
| | 0.032
| | 0.031605
|-
|-
| | atom
| | atom
| |
| | | 161 -84 -12 &gt;
| | | 161 -84 -12 &gt;
| | 0.015
| | 0.015361
|-
|-
| | selenia
| | selenia
| |
| | | -433 -137 280 &gt;
| | | -433 -137 280 &gt;
| | 0.004764
| | 0.0047636
|-
|-
| | titania
| | titania
| |
| | | 2746 -521 -827 &gt;
| | | 2746 -521 -827 &gt;
| | 0.003183
| | 0.0031829
|-
|-
| | quark
| | quark
| |
| | | -573 237 85 &gt;
| | | -573 237 85 &gt;
| | 0.000884
| | 8.8361 × 10<sup>-4</sup>
|-
|-
| | scamp
| | scamp
| |
| | | -5836 4293 -417 &gt;
| | | -5836 4293 -417 &gt;
| | 0.000033
| | 3.3472 × 10<sup>-5</sup>
|-
|-
| | rover
| | rover
| |
| | | 1634 1502 -1729 &gt;
| | | 1634 1502 -1729 &gt;
| | 0.000028
| | 2.7513 × 10<sup>-5</sup>
|-
|-
| | rascal
| | rascal
| |
| | | -7470 2791 1312 &gt;
| | | -7470 2791 1312 &gt;
| | 0.000006
| | 5.9596 × 10<sup>-6</sup>
|}
|}


Line 162: Line 191:
| |  
| |  
| | | -263 88 0 44 &gt;
| | | -263 88 0 44 &gt;
| | 0.294
| | 0.37996
|-
|-
| | horwell
| | horwell
| | 65625 / 65536
| | 65625 / 65536
| | | -16 1 5 1 &gt;
| | | -16 1 5 1 &gt;
| | 2.349
| | 2.3495
|-
|-
| | meter
| | meter
| |  
| | 703125 / 702464
| | | -11 2 7 -3 &gt;
| | | -11 2 7 -3 &gt;
| | 1.628
| | 1.6283
|-
|-
| | wizma
| | wizma
| |  
| | 420175 / 419904
| | | -6 -8 2 5 &gt;
| | | -6 -8 2 5 &gt;
| | 1.117
| | 1.1170
|-
|-
| | breedsma
| | breedsma
| | [[2401/2400|2401 / 2400]]
| | [[2401/2400|2401 / 2400]]
| | | -5 -1 -2 4 &gt;
| | | -5 -1 -2 4 &gt;
| | 0.721
| | 0.72120
|-
|-
| | ragisma
| | ragisma
| | 4375 / 4374
| | 4375 / 4374
| | | -1 -7 4 1 &gt;
| | | -1 -7 4 1 &gt;
| | 0.396
| | 0.39576
|-
|-
| | akjaysma, 5\7 octave comma
| | akjaysma, 5\7 octave comma
| |  
| | 140737488355328 / 140710042265625
| | | 47 -7 -7 -7 &gt;
| | | 47 -7 -7 -7 &gt;
| | 0.338
| | 0.33765
|-
|-
| | landscape
| | landscape
| |  
| | 250047 / 250000
| | | -4 6 -6 3 &gt;
| | | -4 6 -6 3 &gt;
| | 0.325
| | 0.32544
|-
|-
| | starscape
| | starscape
| |  
| | 645700815 / 645657712
| | | -4 17 1 -9 &gt;
| | | -4 17 1 -9 &gt;
| | 0.116
| | 0.11557
|-
|-
| | euzenius
| | euzenius
| |  
| | 78125000 / 78121827
| | | 3 -13 10 -2 &gt;
| | | 3 -13 10 -2 &gt;
| | 0.070
| | 0.070314
|-
|-
| | termite
| | termite
| |  
| |  
| | | 9 -28 37 -18 &gt;
| | | 9 -28 37 -18 &gt;
| | 1.072 * 10^-3
| | 0.0010723
|-
|-
| | neutrino
| | neutrino
| |  
| |  
| | | 1889 -2145 138 424 &gt;
| | | 1889 -2145 138 424 &gt;
| | 1.636 * 10^-10
| | 1.6361 × 10<sup>-10</sup>
|}
|}


Line 232: Line 261:
| |  
| |  
| | | 128 0 0 0 -37 &gt;
| | | 128 0 0 0 -37 &gt;
| | 1.236
| | 1.2361
|-
|-
| | [[swetismic_chords|swetisma]]
| | [[swetismic_chords|swetisma]]
| | 540 / 539
| | 540 / 539
| | | 2 3 1 -2 -1 &gt;
| | | 2 3 1 -2 -1 &gt;
| | 3.209
| | 3.2090
|-
|-
| | wizardharry
| | wizardharry
| | 4000 / 3993
| | 4000 / 3993
| | | 5 -1 3 0 -3 &gt;
| | | 5 -1 3 0 -3 &gt;
| | 3.032
| | 3.0323
|-
|-
| | vishdel
| | vishdel
| | 5632 / 5625
| | 5632 / 5625
| | | 9 -2 -4 0 1 &gt;
| | | 9 -2 -4 0 1 &gt;
| | 2.153
| | 2.1531
|-
|-
| | sesdecal
| | sesdecal
| |  
| | 234375 / 234256
| | | -4 1 7 0 -4 &gt;
| | | -4 1 7 0 -4 &gt;
| | 0.879
| | 0.87923
|-
|-
| | hemigail
| | hemigail
| | 43923 / 43904
| | 43923 / 43904
| | | -7 1 0 -3 4 &gt;
| | | -7 1 0 -3 4 &gt;
| | 0.749
| | 0.74905
|-
|-
| | lehmerisma
| | lehmerisma
| | 3025 / 3024
| | 3025 / 3024
| | | -4 -3 2 -1 2 &gt;
| | | -4 -3 2 -1 2 &gt;
| | 0.572
| | 0.57240
|-
|-
| | kalisma, Gauss' comma
| | kalisma, Gauss' comma
| | 9801 / 9800
| | 9801 / 9800
| | | -3 4 -2 -2 2 &gt;
| | | -3 4 -2 -2 2 &gt;
| | 0.177
| | 0.17665
|-
|-
| | odiheim
| | odiheim
| |  
| | 151263 / 151250
| | | -1 2 -4 5 -2 &gt;
| | | -1 2 -4 5 -2 &gt;
| | 0.149
| | 0.14879
|-
|-
| | parimo
| | parimo
| |  
| | 1771561 / 1771470
| | | -1 -11 -1 0 6 &gt;
| | | -1 -11 -1 0 6 &gt;
| | 0.089
| | 0.088931
|-
|-
| | ultimo
| | ultimo
| |  
| | 3294225 / 3294172
| | | -2 2 2 -7 4 &gt;
| | | -2 2 2 -7 4 &gt;
| | 0.028
| | 0.027854
|}
|}


Line 297: Line 326:
| | 625 / 624
| | 625 / 624
| | | -4 -1 4 0 0 -1 &gt;
| | | -4 -1 4 0 0 -1 &gt;
| | 2.772
| | 2.7722
|-
|-
| | [[The_Archipelago|island comma]]
| | [[The_Archipelago|island comma]]
| | 676 / 675
| | 676 / 675
| | | 2 -3 -2 0 0 2 &gt;
| | | 2 -3 -2 0 0 2 &gt;
| | 2.563
| | 2.5629
|-
|-
| | [[squbemic_chords|squbema]]
| | [[squbemic_chords|squbema]]
| | 729 / 728
| | 729 / 728
| | | -3 6 0 -1 0 -1 &gt;
| | | -3 6 0 -1 0 -1 &gt;
| | 2.376
| | 2.3764
|-
|-
| | [[petrmic_triad|petrma]]
| | [[petrmic_triad|petrma]]
| | 2200 / 2197
| | 2200 / 2197
| | | 3 0 2 0 1 -3 &gt;
| | | 3 0 2 0 1 -3 &gt;
| | 2.362
| | 2.3624
|-
|-
| | [[nicolic_tetrad|nicola]]
| | [[nicolic_tetrad|nicola]]
| | 1575 / 1573
| | 1575 / 1573
| | | 0 2 2 1 -2 -1 &gt;
| | | 0 2 2 1 -2 -1 &gt;
| | 2.200
| | 2.1998
|-
|-
| | [[sinbadmic_tetrad|sinbadma]]
| | [[sinbadmic_tetrad|sinbadma]]
| | 1001 / 1000
| | 1001 / 1000
| | | -3 0 -3 1 1 1 &gt;
| | | -3 0 -3 1 1 1 &gt;
| | 1.730
| | 1.7303
|-
|-
| | cantonisma
| | cantonisma
| | 10985 / 10976
| | 10985 / 10976
| | | -5 0 1 -3 0 3 &gt;
| | | -5 0 1 -3 0 3 &gt;
| | 1.419
| | 1.4190
|-
|-
| | lummic
| | lummic
| | 1716 / 1715
| | 1716 / 1715
| | | 2 1 -1 -3 1 1 &gt;
| | | 2 1 -1 -3 1 1 &gt;
| | 1.009
| | 1.0092
|-
|-
| | ibnsinma
| | ibnsinma
| | 2080 / 2079
| | 2080 / 2079
| | | 5 -3 1 -1 -1 1 &gt;
| | | 5 -3 1 -1 -1 1 &gt;
| | 0.833
| | 0.83252
|-
|-
| | schismina
| | schismina
| | 4096 / 4095
| | 4096 / 4095
| | | 12 -2 -1 -1 0 -1 &gt;
| | | 12 -2 -1 -1 0 -1 &gt;
| | 0.423
| | 0.42272
|-
|-
| | leprechaun comma
| | leprechaun comma
| | 4225 / 4224
| | 4225 / 4224
| | | -7 -1 2 0 -1 2 &gt;
| | | -7 -1 2 0 -1 2 &gt;
| | 0.410
| | 0.40981
|-
|-
| | jacobin
| | jacobin
| | 6656 / 6655
| | 6656 / 6655
| | | 9 0 -1 0 -3 1 &gt;
| | | 9 0 -1 0 -3 1 &gt;
| | 0.260
| | 0.26012
|-
|-
| | harmonisma
| | harmonisma
| | 10648 / 10647
| | 10648 / 10647
| | | 3 -2 0 -1 3 -2 &gt;
| | | 3 -2 0 -1 3 -2 &gt;
| | 0.163
| | 0.16260
|-
|-
| | chalmersima
| | chalmersima
| |  
| | 123201 / 123200
| | | -6 6 -2 -1 -1 2 &gt;
| | | -6 6 -2 -1 -1 2 &gt;
| | 0.014
| | 0.014052
|}
|}


Line 377: Line 406:
| | 2058 / 2057
| | 2058 / 2057
| | | 1 1 0 3 -2 0 -1 &gt;
| | | 1 1 0 3 -2 0 -1 &gt;
| | 0.841
| | 0.84143
|-
|-
| | flashma
| | flashma
| | 12376 / 12375
| | 12376 / 12375
| | | 3 -2 -3 1 -1 1 1 &gt;
| | | 3 -2 -3 1 -1 1 1 &gt;
| | 0.140
| | 0.13989
|-
|-
| | sparkisma
| | sparkisma
| | 14400 / 14399
| | 14400 / 14399
| | | 6 2 2 -1 -2 0 -1 &gt;
| | | 6 2 2 -1 -2 0 -1 &gt;
| | 0.120
| | 0.12023
|-
|-
| | scintillisma
| | scintillisma
| |  
| | 194481 / 194480
| | | -4 4 -1 4 -1 -1 -1 &gt;
| | | -4 4 -1 4 -1 -1 -1 &gt;
| | 0.009
| | 0.0089018
|}
|}


Line 407: Line 436:
| | 513 / 512
| | 513 / 512
| | | -9 3 0 0 0 0 0 1 &gt;
| | | -9 3 0 0 0 0 0 1 &gt;
| | 3.378
| | 3.3781
|-
|-
| | password
| | password
| | 1216 / 1215
| | 1216 / 1215
| | | 6 -5 -1 0 0 0 0 1&gt;
| | | 6 -5 -1 0 0 0 0 1&gt;
| | 1.424
| | 1.4243
|-
|-
| | Blumeyer comma
| | Blumeyer comma
| | 2432 / 2431
| | 2432 / 2431
| | | 7 0 0 0 -1 -1 -1 1 &gt;
| | | 7 0 0 0 -1 -1 -1 1 &gt;
| | 0.712
| | 0.71200
|-
|-
| | 19-limit decimill
| | 19-limit decimill
| |  
| | 165376 / 165375
| | | 9 -3 -3 -2 0 0 1 1&gt;
| | | 9 -3 -3 -2 0 0 1 1&gt;
| | 0.010
| | 0.010469
|}
|}