33edo: Difference between revisions
m Todo |
Add lumatone mapping link. |
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| Line 24: | Line 24: | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|- | |- | ||
! # | ! rowspan="2" |Step # | ||
! ET | |||
! colspan="2" | Just | |||
! rowspan="2" | Difference <br> (ET minus Just) | |||
! rowspan="2" colspan="3" |Extended Pythagorean Notation | |||
|- | |||
! Cents | |||
! Interval | |||
! Cents | ! Cents | ||
|- | |- | ||
| 0 | | 0 | ||
| 0¢ | | 0¢ | ||
| [[1/1]] | | [[1/1]] | ||
| 0 | |||
| 0 | |||
| Perfect Unison | | Perfect Unison | ||
| P1 | | P1 | ||
| Line 39: | Line 46: | ||
| 36.364 | | 36.364 | ||
| [[48/47]] | | [[48/47]] | ||
| 36.448 | |||
| −0.085 | |||
| Augmented Unison | | Augmented Unison | ||
| A1 | | A1 | ||
| Line 46: | Line 55: | ||
| 72.727 | | 72.727 | ||
| [[24/23]] | | [[24/23]] | ||
| 73.681 | |||
| −0.953 | |||
| Double-aug 1sn | | Double-aug 1sn | ||
| AA1 | | AA1 | ||
| Line 53: | Line 64: | ||
| 109.091 | | 109.091 | ||
| [[16/15]] | | [[16/15]] | ||
| 111.731 | |||
| −2.640 | |||
| Diminished 2nd | | Diminished 2nd | ||
| d2 | | d2 | ||
| Line 60: | Line 73: | ||
| 145.455 | | 145.455 | ||
| [[12/11]] | | [[12/11]] | ||
| 150.637 | |||
| −5.183 | |||
| Minor 2nd | | Minor 2nd | ||
| m2 | | m2 | ||
| Line 67: | Line 82: | ||
| 181.818 | | 181.818 | ||
| [[10/9]] | | [[10/9]] | ||
| 182.404 | |||
| −0.586 | |||
| Major 2nd | | Major 2nd | ||
| M2 | | M2 | ||
| Line 74: | Line 91: | ||
| 218.182 | | 218.182 | ||
| [[17/15]] | | [[17/15]] | ||
| 216.687 | |||
| +1.495 | |||
| Augmented 2nd | | Augmented 2nd | ||
| A2 | | A2 | ||
| Line 81: | Line 100: | ||
| 254.545 | | 254.545 | ||
| [[15/13]] | | [[15/13]] | ||
| 247.741 | |||
| +6.804 | |||
| Double-aug 2nd/Double-dim 3rd | | Double-aug 2nd/Double-dim 3rd | ||
| AA2/dd3 | | AA2/dd3 | ||
| Line 88: | Line 109: | ||
| 290.909 | | 290.909 | ||
| [[13/11]] | | [[13/11]] | ||
| 289.210 | |||
| +1.699 | |||
| Diminished 3rd | | Diminished 3rd | ||
| d3 | | d3 | ||
| Line 95: | Line 118: | ||
| 327.273 | | 327.273 | ||
| [[6/5]] | | [[6/5]] | ||
| 315.641 | |||
| +11.631 | |||
| Minor 3rd | | Minor 3rd | ||
| m3 | | m3 | ||
| Line 101: | Line 126: | ||
| 10 | | 10 | ||
| 363.636 | | 363.636 | ||
| [[ | | [[16/13]] | ||
| 359.472 | |||
| +4.164 | |||
| Major 3rd | | Major 3rd | ||
| M3 | | M3 | ||
| Line 109: | Line 136: | ||
| 400.000 | | 400.000 | ||
| [[5/4]] | | [[5/4]] | ||
| 386.314 | |||
| +13.686 | |||
| Augmented 3rd | | Augmented 3rd | ||
| A3 | | A3 | ||
| Line 116: | Line 145: | ||
| 436.364 | | 436.364 | ||
| [[9/7]] | | [[9/7]] | ||
| 435.084 | |||
| +1.280 | |||
| Double-dim 4th | | Double-dim 4th | ||
| dd4 | | dd4 | ||
| Line 123: | Line 154: | ||
| 472.727 | | 472.727 | ||
| [[21/16]] | | [[21/16]] | ||
| 470.781 | |||
| +1.946 | |||
| Diminished 4th | | Diminished 4th | ||
| d4 | | d4 | ||
| Line 130: | Line 163: | ||
| 509.091 | | 509.091 | ||
| [[4/3]] | | [[4/3]] | ||
| 498.045 | |||
| +11.046 | |||
| Perfect 4th | | Perfect 4th | ||
| P4 | | P4 | ||
| Line 137: | Line 172: | ||
| 545.455 | | 545.455 | ||
| [[11/8]] | | [[11/8]] | ||
| 551.318 | |||
| −5.863 | |||
| Augmented 4th | | Augmented 4th | ||
| A4 | | A4 | ||
| Line 144: | Line 181: | ||
| 581.818 | | 581.818 | ||
| [[7/5]] | | [[7/5]] | ||
| 582.513 | |||
| −0.694 | |||
| Double-aug 4th | | Double-aug 4th | ||
| AA4 | | AA4 | ||
| Line 151: | Line 190: | ||
| 618.182 | | 618.182 | ||
| [[10/7]] | | [[10/7]] | ||
| 617.488 | |||
| +0.694 | |||
| Double-dim 5th | | Double-dim 5th | ||
| dd5 | | dd5 | ||
| Line 158: | Line 199: | ||
| 654.545 | | 654.545 | ||
| [[16/11]] | | [[16/11]] | ||
| 648.682 | |||
| +5.863 | |||
| Diminished 5th | | Diminished 5th | ||
| d5 | | d5 | ||
| Line 165: | Line 208: | ||
| 690.909 | | 690.909 | ||
| [[3/2]] | | [[3/2]] | ||
| 701.9550 | |||
| −11.046 | |||
| Perfect 5th | | Perfect 5th | ||
| P5 | | P5 | ||
| Line 172: | Line 217: | ||
| 727.273 | | 727.273 | ||
| [[32/21]] | | [[32/21]] | ||
| 729.219 | |||
| -1.946 | |||
| Augmented 5th | | Augmented 5th | ||
| A5 | | A5 | ||
| Line 179: | Line 226: | ||
| 763.636 | | 763.636 | ||
| [[14/9]] | | [[14/9]] | ||
| 764.9159 | |||
| −1.280 | |||
| Double-aug 5th | | Double-aug 5th | ||
| AA5 | | AA5 | ||
| Line 186: | Line 235: | ||
| 800.000 | | 800.000 | ||
| [[8/5]] | | [[8/5]] | ||
| 813.686 | |||
| −13.686 | |||
| Double-dim 6th | | Double-dim 6th | ||
| d6 | | d6 | ||
| Line 193: | Line 244: | ||
| 836.364 | | 836.364 | ||
| [[13/8]] | | [[13/8]] | ||
| 840.5276 | |||
| −4.164 | |||
| Minor 6th | | Minor 6th | ||
| m6 | | m6 | ||
| Line 200: | Line 253: | ||
| 872.727 | | 872.727 | ||
| [[5/3]] | | [[5/3]] | ||
| 884.359 | |||
| −11.631 | |||
| Major 6th | | Major 6th | ||
| M6 | | M6 | ||
| Line 207: | Line 262: | ||
| 909.091 | | 909.091 | ||
| [[22/13]] | | [[22/13]] | ||
| 910.7903 | |||
| −1.699 | |||
| Augmented 6th | | Augmented 6th | ||
| A6 | | A6 | ||
| Line 214: | Line 271: | ||
| 945.455 | | 945.455 | ||
| [[12/7]] | | [[12/7]] | ||
| 933.129 | |||
| +12.325 | |||
| Double-aug 6th/Double-dim 7th | | Double-aug 6th/Double-dim 7th | ||
| AA6/dd7 | | AA6/dd7 | ||
| Line 221: | Line 280: | ||
| 981.818 | | 981.818 | ||
| [[30/17]] | | [[30/17]] | ||
| 983.313 | |||
| −1.495 | |||
| Diminished 7th | | Diminished 7th | ||
| d7 | | d7 | ||
| Line 228: | Line 289: | ||
| 1018.182 | | 1018.182 | ||
| [[9/5]] | | [[9/5]] | ||
| 1017.596 | |||
| +0.586 | |||
| Minor 7th | | Minor 7th | ||
| m7 | | m7 | ||
| Line 235: | Line 298: | ||
| 1054.545 | | 1054.545 | ||
| [[11/6]] | | [[11/6]] | ||
| 1049.363 | |||
| +5.183 | |||
| Major 7th | | Major 7th | ||
| M7 | | M7 | ||
| Line 242: | Line 307: | ||
| 1090.909 | | 1090.909 | ||
| [[15/8]] | | [[15/8]] | ||
| 1088.268 | |||
| +2.640 | |||
| Augmented 7th | | Augmented 7th | ||
| A7 | | A7 | ||
| Line 249: | Line 316: | ||
| 1127.273 | | 1127.273 | ||
| [[23/12]] | | [[23/12]] | ||
| 1126.319 | |||
| −0.953 | |||
| Double-dim 8ve | | Double-dim 8ve | ||
| dd8 | | dd8 | ||
| Line 256: | Line 325: | ||
| 1163.636 | | 1163.636 | ||
| [[47/24]] | | [[47/24]] | ||
| 1163.551 | |||
| +0.085 | |||
| Diminished 8ve | | Diminished 8ve | ||
| d8 | | d8 | ||
| Line 263: | Line 334: | ||
| 1200 | | 1200 | ||
| [[2/1]] | | [[2/1]] | ||
| 1200 | |||
| 0 | |||
| Perfect Octave | | Perfect Octave | ||
| P8 | | P8 | ||
| Line 1,391: | Line 1,464: | ||
| 0.00038 | | 0.00038 | ||
|} | |} | ||
== Instruments == | |||
[[Lumatone mapping for 33edo]] | |||
== Music == | == Music == | ||
| Line 1,425: | Line 1,501: | ||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Subgroup temperaments]] | [[Category:Subgroup temperaments]] | ||