User:Moremajorthanmajor/5L 3s (15/7-equivalent): Difference between revisions
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===Parahard=== | ===Parahard=== | ||
23edIX Neapolitan-oneiro combines the sound of the 32/15 minor ninth and the [[8/7]] whole tone. This is because 23edIX Neapolitan-oneirotonic | 23edIX Neapolitan-oneiro combines the sound of the 32/15 minor ninth and the [[8/7]] whole tone. This is because 23edIX Neapolitan-oneirotonic a large step of 218.2¢, 22edIX's superpythagorean major second, which is both a warped Pythagorean [[9/8]] whole tone and a warped [[8/7]] septimal whole tone. | ||
====Intervals==== | ====Intervals==== | ||
The intervals of the extended generator chain (-12 to +12 generators) are as follows in various Neapolitan-oneirotonic tunings close to 23edIX. | The intervals of the extended generator chain (-12 to +12 generators) are as follows in various Neapolitan-oneirotonic tunings close to 23edIX. | ||
Line 1,016: | Line 1,016: | ||
|1/63, 19.355 (20.635) | |1/63, 19.355 (20.635) | ||
|21.05 (22.41) | |21.05 (22.41) | ||
| | |50/49 81/80 91/90 | ||
|} | |} | ||
====Intervals==== | ====Intervals==== | ||
Line 1,157: | Line 1,157: | ||
| | | | ||
| | | | ||
| ||514. | | ||514.286 | ||
|487.5||1||1||1.000|| | |487.5||1||1||1.000|| | ||
|- | |- | ||
Line 1,167: | Line 1,167: | ||
| | | | ||
| ||510 | | ||510 | ||
|491. | |491.111||6||5||1.200|| | ||
|- | |- | ||
| | | | ||
Line 1,175: | Line 1,175: | ||
| | | | ||
| | | | ||
| ||509. | | ||509.091 | ||
|491. | |491.892||5||4||1.250|| | ||
|- | |- | ||
| | | | ||
Line 1,184: | Line 1,184: | ||
| | | | ||
| | | | ||
| ||508. | | ||508.475 | ||
|492. | |492.424||9||7||1.286|| | ||
|- | |- | ||
| | | | ||
Line 1,193: | Line 1,193: | ||
| | | | ||
| | | | ||
| ||507. | | ||507.692 | ||
|493. | |493.103||4||3||1.333|| | ||
|- | |- | ||
| | | | ||
Line 1,202: | Line 1,202: | ||
| | | | ||
| | | | ||
| ||507. | | ||507.042 | ||
|493. | |493.671||11||8||1.375|| | ||
|- | |- | ||
| | | | ||
Line 1,211: | Line 1,211: | ||
| | | | ||
| | | | ||
| ||506. | | ||506.667 | ||
|494||7||5||1.400|| | |494||7||5||1.400|| | ||
|- | |- | ||
Line 1,221: | Line 1,221: | ||
| | | | ||
| ||506.25 | | ||506.25 | ||
|494. | |494.366||10||7||1.429|| | ||
|- | |- | ||
| | | | ||
Line 1,229: | Line 1,229: | ||
| | | | ||
| | | | ||
| ||505. | | ||505.263 | ||
|495. | |495.238||3||2||1.500||L/s = 3/2 | ||
|- | |- | ||
| | | | ||
Line 1,238: | Line 1,238: | ||
| | | | ||
| | | | ||
| ||504. | | ||504.348 | ||
|496. | |496.053||11||7||1.571|| | ||
|- | |- | ||
| | | | ||
Line 1,248: | Line 1,248: | ||
| | | | ||
| ||504 | | ||504 | ||
|496. | |496.364||8||5||1.600|| | ||
|- | |- | ||
| | | | ||
Line 1,256: | Line 1,256: | ||
| | | | ||
| | | | ||
| ||503. | | ||503.704 | ||
|496. | |496.629||13||8||1.625||Golden Neapolitan-oneirotonic | ||
|- | |- | ||
| | | | ||
Line 1,265: | Line 1,265: | ||
| | | | ||
| | | | ||
| ||503. | | ||503.226 | ||
|497. | |497.059||5||3||1.667|| | ||
|- | |- | ||
| | | | ||
Line 1,274: | Line 1,274: | ||
| | | | ||
| | | | ||
| ||502. | | ||502.703 | ||
|497. | |497.531||12||7||1.714|| | ||
|- | |- | ||
| | | | ||
Line 1,283: | Line 1,283: | ||
| | | | ||
| | | | ||
| ||502. | | ||502.326 | ||
|497. | |497.872||7||4||1.750|| | ||
|- | |- | ||
| | | | ||
Line 1,292: | Line 1,292: | ||
| | | | ||
| | | | ||
| ||501. | | ||501.818 | ||
|498. | |498.333||9||5||1.800|| | ||
|- | |- | ||
| | | | ||
Line 1,305: | Line 1,305: | ||
| | | | ||
| | | | ||
|501. | |501.4925 | ||
|498. | |498.63 | ||
|11 | |11 | ||
|6 | |6 | ||
Line 1,322: | Line 1,322: | ||
| | | | ||
| | | | ||
|501. | |501.265 | ||
|498. | |498.837 | ||
|13 | |13 | ||
|7 | |7 | ||
Line 1,339: | Line 1,339: | ||
| colspan="3" |38\(99\91) | | colspan="3" |38\(99\91) | ||
| | | | ||
|501. | |501.099 | ||
|498. | |498.99 | ||
|15 | |15 | ||
|8 | |8 | ||
Line 1,356: | Line 1,356: | ||
| | | | ||
| colspan="3" |43\(112\103) | | colspan="3" |43\(112\103) | ||
|500. | |500.971 | ||
|499. | |499.107 | ||
|17 | |17 | ||
|9 | |9 | ||
Line 1,382: | Line 1,382: | ||
| | | | ||
| colspan="3" |42\(109\101) | | colspan="3" |42\(109\101) | ||
|499. | |499.01 | ||
|500. | |500.917 | ||
|17 | |17 | ||
|8 | |8 | ||
Line 1,399: | Line 1,399: | ||
| colspan="3" |37\(96\89) | | colspan="3" |37\(96\89) | ||
| | | | ||
|498. | |498.876 | ||
|501. | |501.041 | ||
|15 | |15 | ||
|7 | |7 | ||
Line 1,416: | Line 1,416: | ||
| | | | ||
| | | | ||
|498. | |498.701 | ||
|501. | |501.205 | ||
|13 | |13 | ||
|6 | |6 | ||
Line 1,433: | Line 1,433: | ||
| | | | ||
| | | | ||
|498. | |498.4615 | ||
|501. | |501.429 | ||
|11 | |11 | ||
|5 | |5 | ||
Line 1,446: | Line 1,446: | ||
| | | | ||
| | | | ||
| ||498. | | ||498.113 | ||
|501. | |501.754||9||4||2.250|| | ||
|- | |- | ||
| | | | ||
Line 1,455: | Line 1,455: | ||
| | | | ||
| | | | ||
| ||497. | | ||497.561 | ||
|502. | |502.273||7||3||2.333|| | ||
|- | |- | ||
| | | | ||
Line 1,464: | Line 1,464: | ||
| | | | ||
| | | | ||
| ||497. | | ||497.143 | ||
|502. | |502.667||12||5||2.400|| | ||
|- | |- | ||
| | | | ||
Line 1,473: | Line 1,473: | ||
| | | | ||
| | | | ||
| ||496. | | ||496.552 | ||
|503. | |503.226||5||2||2.500|| | ||
|- | |- | ||
| | | | ||
Line 1,491: | Line 1,491: | ||
| | | | ||
| | | | ||
| ||495. | | ||495.652 | ||
|504. | |504.082||8||3||2.667|| | ||
|- | |- | ||
| | | | ||
Line 1,500: | Line 1,500: | ||
| | | | ||
| | | | ||
| ||495. | | ||495.238 | ||
|504. | |504.478||11||4||2.750|| | ||
|- | |- | ||
| | | | ||
Line 1,509: | Line 1,509: | ||
| | | | ||
| | | | ||
| ||494. | | ||494.118 | ||
|505. | |505.556||3||1||3.000||L/s = 3/1 | ||
|- | |- | ||
| | | | ||
Line 1,522: | Line 1,522: | ||
| | | | ||
| | | | ||
|493. | |493.151 | ||
|506. | |506.4935 | ||
|13 | |13 | ||
|4 | |4 | ||
Line 1,535: | Line 1,535: | ||
| | | | ||
| | | | ||
| ||492. | | ||492.857 | ||
|506. | |506.78||10||3||3.333|| | ||
|- | |- | ||
| | | | ||
Line 1,544: | Line 1,544: | ||
| | | | ||
| | | | ||
| ||492. | | ||492.308 | ||
|507. | |507.317||7||2||3.500|| | ||
|- | |- | ||
| | | | ||
Line 1,553: | Line 1,553: | ||
| | | | ||
| | | | ||
| ||491. | | ||491.803 | ||
| | |507.8125||11||3||3.667|| | ||
|- | |- | ||
| | | | ||
Line 1,562: | Line 1,562: | ||
| | | | ||
| | | | ||
| ||490. | | ||490.909 | ||
|508. | |508.696||4||1||4.000|| | ||
|- | |- | ||
| | | | ||
Line 1,571: | Line 1,571: | ||
| | | | ||
| | | | ||
| ||489. | | ||489.796 | ||
|509. | |509.804||9||2||4.500|| | ||
|- | |- | ||
| | | | ||
Line 1,580: | Line 1,580: | ||
| | | | ||
| | | | ||
| ||488. | | ||488.889 | ||
|510. | |510.714||5||1||5.000|| | ||
|- | |- | ||
| | | | ||
Line 1,593: | Line 1,593: | ||
| | | | ||
| | | | ||
|488. | |488.136 | ||
|511. | |511.475 | ||
|11 | |11 | ||
|2 | |2 | ||
Line 1,607: | Line 1,607: | ||
| | | | ||
| ||487.5 | | ||487.5 | ||
|512. | |512.121||6||1||6.000|| | ||
|- | |- | ||
| colspan="3" |2\5|| || || || || | | colspan="3" |2\5|| || || || || |