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| {| class="wikitable center-all right-6" | | {| class="wikitable center-all right-6" |
| |-
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| ! colspan="4" | The twelve new intervals in 24edo
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| ! colspan="3" | some nearby JI intervals
| |
| |- | | |- |
| ! [[cent]]s | | ! [[cent]]s |
| ! [[pion]]s | | ! names |
| ! [[7mu]]s ([[Wikipedia: Hexadecimal |hex]])
| |
| ! common names
| |
| ! frequency ratio
| |
| ! cents
| |
| ! common name
| |
| |- | | |- |
| | 50 | | | 50 |
| | 53
| |
| | 64 (40<sub>16</sub>)
| |
| | quartertone <br> infra second, wide unison | | | quartertone <br> infra second, wide unison |
| | [[36/35]] <br> [[35/34]] <br> [[34/33]] <br> [[33/32]]
| |
| | 48.770 <br> 50.184 <br> 51.682 <br> 53.273
| |
| | large septimal quarter-tone (Archytas) <br> large 17-limit quartertone <br> small 17-limit quartertone <br> 33rd harmonic
| |
| |- | | |- |
| | 150 | | | 150 |
| | 159
| |
| | 192 (C0<sub>16</sub>)
| |
| | neutral second | | | neutral second |
| | [[12/11]]
| |
| | 150.637
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| | large undecimal neutral second
| |
| |- | | |- |
| | 250 | | | 250 |
| | 265
| |
| | 320 (140<sub>16</sub>)
| |
| | ultra second <br> infra third | | | ultra second <br> infra third |
| | [[144/125]] <br> [[15/13]] <br> [[52/45]]
| |
| | 244.969 <br> 247.741 <br> 250.304
| |
| | diminished third (6/5 x 24/25) <br> .. <br> ..
| |
| |- | | |- |
| | 350 | | | 350 |
| | 383
| |
| | 448 (1C0<sub>16</sub>)
| |
| | neutral third | | | neutral third |
| | [[11/9]] <br> [[27/22]] <br> [[16/13]]
| |
| | 347.408 <br> 354.547 <br> 359.472
| |
| | undecimal neutral third <br> .. <br> tridecimal neutral third
| |
| |- | | |- |
| | 450 | | | 450 |
| | 477
| |
| | 576 (240<sub>16</sub>)
| |
| | minor fourth, ultra third, narrow fourth | | | minor fourth, ultra third, narrow fourth |
| | [[22/17]] <br> [[35/27]] <br> [[13/10]]
| |
| | 446.363 <br> 449.275 <br> 454.214
| |
| | 17-limit supermajor third <br> .. <br> tridecimal subfourth
| |
| |- | | |- |
| | 550 | | | 550 |
| | 583
| |
| | 704 (2C0<sub>16</sub>)
| |
| | wide fourth | | | wide fourth |
| | [[11/8]]
| |
| | 551.318
| |
| | undecimal superfourth, harmonic 11th
| |
| |- | | |- |
| | 650 | | | 650 |
| | 689
| |
| | 832 (340<sub>16</sub>)
| |
| | narrow fifth | | | narrow fifth |
| | [[16/11]]
| |
| | 648.682
| |
| | undecimal subfifth, 11th subharmonic
| |
| |- | | |- |
| | 750 | | | 750 |
| | 795
| |
| | 960 (3C0<sub>16</sub>)
| |
| | wide fifth, infra sixth | | | wide fifth, infra sixth |
| | [[20/13]] <br> [[54/35]] <br> [[17/11]]
| |
| | 745.786 <br> 750.725 <br> 753.637
| |
| | tridecimal superfifth <br> .. <br> 17-limit subminor sixth
| |
| |- | | |- |
| | 850 | | | 850 |
| | 901
| |
| | 1088 (340<sub>16</sub>)
| |
| | neutral sixth | | | neutral sixth |
| | [[13/8]] <br> [[44/27]] <br> [[18/11]]
| |
| | 840.528 <br> 845.453 <br> 852.592
| |
| | overtone sixth, 13th harmonic <br> .. <br> undecimal neutral sixth
| |
| |- | | |- |
| | 950 | | | 950 |
| | 1007
| |
| | 1216 (4C0<sub>16</sub>)
| |
| | ultra sixth , infra seventh | | | ultra sixth , infra seventh |
| | [[45/26]] <br> [[26/15]] <br> [[125/72]]
| |
| | 949.696 <br> 952.259 <br> 955.031
| |
| | .. <br> .. <br> ..
| |
| |- | | |- |
| | 1050 | | | 1050 |
| | 1113
| |
| | 1344 (540<sub>16</sub>)
| |
| | neutral seventh | | | neutral seventh |
| | [[11/6]]
| |
| | 1049.363
| |
| | undecimal neutral seventh
| |
| |- | | |- |
| | 1150 | | | 1150 |
| | 1219
| |
| | 1472 (5C0<sub>16</sub>)
| |
| | ultra seventh, narrow octave | | | ultra seventh, narrow octave |
| | [[31/16]] <br> [[33/17]] <br> [[35/18]]
| |
| | 1145.036 <br> 1148.318 <br> 1151.230
| |
| | 31st harmonic <br> .. <br> ..
| |
| |} | | |} |
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