Pentave Reduced Subharmonics: Difference between revisions
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Improved the wikitext readability while retaining the information within the table |
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| (2 intermediate revisions by one other user not shown) | |||
| Line 1: | Line 1: | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 1/1 | ||
| | | | | 0.000 unison, perfect prime | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/124 | ||
| | 13.906 | | | 13.906 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/123 | ||
| | 27.924 | | | 27.924 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/122 | ||
| | 42.056 | | | 42.056 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/121 | ||
| | 56.305 | | | 56.305 | ||
|- | |- | ||
| Line 19: | Line 19: | ||
| | 70.672 classical chromatic minor second | | | 70.672 classical chromatic minor second | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/119 | ||
| | 85.160 | | | 85.160 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/118 | ||
| | 99.769 | | | 99.769 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/117 | ||
| | 114.503 | | | 114.503 tridecimal orwell minor second | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/116 | ||
| | 129.364 | | | 129.364 | ||
|- | |- | ||
| Line 34: | Line 34: | ||
| | 144.353 | | | 144.353 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/114 | ||
| | 159.473 | | | 159.473 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/113 | ||
| | 174.726 | | | 174.726 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/112 | ||
| | 190.115 | | | 190.115 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/111 | ||
| | 205.642 | | | 205.642 | ||
|- | |- | ||
| Line 49: | Line 49: | ||
| | 221,309 | | | 221,309 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/109 | ||
| | 237.120 | | | 237.120 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/108 | ||
| | 253.076 | | | 253.076 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/107 | ||
| | 269.181 | | | 269.181 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/106 | ||
| | 285.437 | | | 285.437 | ||
|- | |- | ||
| Line 64: | Line 64: | ||
| | 301.847 | | | 301.847 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/104 | ||
| | 318.413 | | | 318.413 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/103 | ||
| | 335.140 | | | 335.140 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/102 | ||
| | 352.031 | | | 352.031 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/101 | ||
| | 369.087 | | | 369.087 | ||
|- | |- | ||
| Line 82: | Line 82: | ||
| | 403.713 | | | 403.713 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/98 | ||
| | 421.289 | | | 421.289 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/97 | ||
| | 439.946 | | | 439.946 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/96 | ||
| | 456.986 | | | 456.986 | ||
|- | |- | ||
| Line 94: | Line 94: | ||
| | 475.114 | | | 475.114 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/94 | ||
| | 493.435 | | | 493.435 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/93 | ||
| | 511.951 | | | 511.951 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/92 | ||
| | 530.667 | | | 530.667 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/91 | ||
| | 549.588 | | | 549.588 | ||
|- | |- | ||
| Line 109: | Line 109: | ||
| | 568.717 classic augmented fourth | | | 568.717 classic augmented fourth | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/89 | ||
| | 588.061 | | | 588.061 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/88 | ||
| | 607.623 | | | 607.623 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/87 | ||
| | 627.409 | | | 627.409 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/86 | ||
| | 647.423 | | | 647.423 | ||
|- | |- | ||
| Line 124: | Line 124: | ||
| | 667.672 | | | 667.672 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/84 | ||
| | 688.160 | | | 688.160 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/83 | ||
| | 708.894 decatonic perfect seventh | | | 708.894 decatonic perfect seventh | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/82 | ||
| | 729.879 | | | 729.879 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/81 | ||
| | 751.121 | | | 751.121 | ||
|- | |- | ||
| Line 139: | Line 139: | ||
| | 772.628 classic augmented fifth | | | 772.628 classic augmented fifth | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/79 | ||
| | 794.404 | | | 794.404 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/78 | ||
| | 816.458 | | | 816.458 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/77 | ||
| | 838.797 | | | 838.797 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/76 | ||
| | 861.428 | | | 861.428 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 5/3 | ||
| | 884.359 major sixth | | | 884.359 major sixth | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/74 | ||
| | 907.597 | | | 907.597 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/73 | ||
| | 931.152 | | | 931.152 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/72 | ||
| | 955.031 classic augmented sixth | | | 955.031 classic augmented sixth | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/71 | ||
| | 979.245 | | | 979.245 | ||
|- | |- | ||
| Line 169: | Line 169: | ||
| | 1003.802 | | | 1003.802 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/69 | ||
| | 1028.712 | | | 1028.712 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/68 | ||
| | 1053.986 | | | 1053.986 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/67 | ||
| | 1079.634 | | | 1079.634 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/66 | ||
| | 1105.668 | | | 1105.668 | ||
|- | |- | ||
| Line 184: | Line 184: | ||
| | 1132.010 | | | 1132.010 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/64 | ||
| | 1158.941 | | | 1158.941 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/63 | ||
| | 1186.205 | | | 1186.205 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/62 | ||
| | 1213.906 | | | 1213.906 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/61 | ||
| | 1242.056 | | | 1242.056 | ||
|- | |- | ||
| Line 199: | Line 199: | ||
| | 1270.672 classic chromatic minor 9th | | | 1270.672 classic chromatic minor 9th | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/59 | ||
| | 1299.769 | | | 1299.769 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/58 | ||
| | 1329.364 | | | 1329.364 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/57 | ||
| | 1359.473 | | | 1359.473 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/56 | ||
| | 1390.115 | | | 1390.115 | ||
|- | |- | ||
| Line 214: | Line 214: | ||
| | 1421.309 | | | 1421.309 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/54 | ||
| | 1453.076 | | | 1453.076 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/53 | ||
| | 1485.437 | | | 1485.437 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/52 | ||
| | 1518.413 | | | 1518.413 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/51 | ||
| | 1552.031 | | | 1552.031 | ||
|- | |- | ||
| Line 229: | Line 229: | ||
| | 1586.314 | | | 1586.314 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/49 | ||
| | 1621.289 | | | 1621.289 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/48 | ||
| | 1656.986 | | | 1656.986 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/47 | ||
| | 1693.435 | | | 1693.435 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/46 | ||
| | 1730.667 | | | 1730.667 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 25/9 | ||
| | 1768.717 classic augmented 11th, BP leading tone | | | 1768.717 classic augmented 11th, BP leading tone | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/44 | ||
| | 1807.623 | | | 1807.623 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/43 | ||
| | 1847.423 | | | 1847.423 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/42 | ||
| | 1888.160 | | | 1888.160 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/41 | ||
| | 1929.879 | | | 1929.879 | ||
|- | |- | ||
| Line 259: | Line 259: | ||
| | 1972.628 classic augmented 12th | | | 1972.628 classic augmented 12th | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/39 | ||
| | 2016.458 | | | 2016.458 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/38 | ||
| | 2061.428 | | | 2061.428 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/37 | ||
| | 2107.597 | | | 2107.597 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/36 | ||
| | 2155.031 classic augmented 13th | | | 2155.031 classic augmented 13th | ||
|- | |- | ||
| Line 274: | Line 274: | ||
| | 2203.802 | | | 2203.802 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/34 | ||
| | 2253.986 | | | 2253.986 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/33 | ||
| | 2305.668 | | | 2305.668 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/32 | ||
| | 2358.941 | | | 2358.941 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/31 | ||
| | 2413.906 | | | 2413.906 | ||
|- | |- | ||
| Line 289: | Line 289: | ||
| | 2470.672 classic chromatic minor 16th | | | 2470.672 classic chromatic minor 16th | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/29 | ||
| | 2529.364 | | | 2529.364 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/28 | ||
| | 2590.115 | | | 2590.115 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/27 | ||
| | 2653.076 | | | 2653.076 | ||
|- | |- | ||
| style="text-align:center;" | | | style="text-align:center;" | 125/26 | ||
| | 1518.413 | | | 1518.413 | ||
|} | |} | ||
[[ | |||
== See also == | |||
* [[Pentave Reduced Harmonics]] | |||
* [[Subharmonic]] | |||
[[Category:Subharmonic series]] | [[Category:Subharmonic series]] | ||
[[Category:Pentave]] | [[Category:Pentave]] | ||
[[Category:Lists of intervals]] | |||
Latest revision as of 21:05, 20 June 2026
| 1/1 | 0.000 unison, perfect prime |
| 125/124 | 13.906 |
| 125/123 | 27.924 |
| 125/122 | 42.056 |
| 125/121 | 56.305 |
| 25/24 | 70.672 classical chromatic minor second |
| 125/119 | 85.160 |
| 125/118 | 99.769 |
| 125/117 | 114.503 tridecimal orwell minor second |
| 125/116 | 129.364 |
| 25/23 | 144.353 |
| 125/114 | 159.473 |
| 125/113 | 174.726 |
| 125/112 | 190.115 |
| 125/111 | 205.642 |
| 25/22 | 221,309 |
| 125/109 | 237.120 |
| 125/108 | 253.076 |
| 125/107 | 269.181 |
| 125/106 | 285.437 |
| 25/21 | 301.847 |
| 125/104 | 318.413 |
| 125/103 | 335.140 |
| 125/102 | 352.031 |
| 125/101 | 369.087 |
| 5/4 | 386.314 major third |
| 125/99 | 403.713 |
| 125/98 | 421.289 |
| 125/97 | 439.946 |
| 125/96 | 456.986 |
| 25/19 | 475.114 |
| 125/94 | 493.435 |
| 125/93 | 511.951 |
| 125/92 | 530.667 |
| 125/91 | 549.588 |
| 25/18 | 568.717 classic augmented fourth |
| 125/89 | 588.061 |
| 125/88 | 607.623 |
| 125/87 | 627.409 |
| 125/86 | 647.423 |
| 25/17 | 667.672 |
| 125/84 | 688.160 |
| 125/83 | 708.894 decatonic perfect seventh |
| 125/82 | 729.879 |
| 125/81 | 751.121 |
| 25/16 | 772.628 classic augmented fifth |
| 125/79 | 794.404 |
| 125/78 | 816.458 |
| 125/77 | 838.797 |
| 125/76 | 861.428 |
| 5/3 | 884.359 major sixth |
| 125/74 | 907.597 |
| 125/73 | 931.152 |
| 125/72 | 955.031 classic augmented sixth |
| 125/71 | 979.245 |
| 25/14 | 1003.802 |
| 125/69 | 1028.712 |
| 125/68 | 1053.986 |
| 125/67 | 1079.634 |
| 125/66 | 1105.668 |
| 25/13 | 1132.010 |
| 125/64 | 1158.941 |
| 125/63 | 1186.205 |
| 125/62 | 1213.906 |
| 125/61 | 1242.056 |
| 25/12 | 1270.672 classic chromatic minor 9th |
| 125/59 | 1299.769 |
| 125/58 | 1329.364 |
| 125/57 | 1359.473 |
| 125/56 | 1390.115 |
| 25/11 | 1421.309 |
| 125/54 | 1453.076 |
| 125/53 | 1485.437 |
| 125/52 | 1518.413 |
| 125/51 | 1552.031 |
| 5/2 | 1586.314 |
| 125/49 | 1621.289 |
| 125/48 | 1656.986 |
| 125/47 | 1693.435 |
| 125/46 | 1730.667 |
| 25/9 | 1768.717 classic augmented 11th, BP leading tone |
| 125/44 | 1807.623 |
| 125/43 | 1847.423 |
| 125/42 | 1888.160 |
| 125/41 | 1929.879 |
| 25/8 | 1972.628 classic augmented 12th |
| 125/39 | 2016.458 |
| 125/38 | 2061.428 |
| 125/37 | 2107.597 |
| 125/36 | 2155.031 classic augmented 13th |
| 25/7 | 2203.802 |
| 125/34 | 2253.986 |
| 125/33 | 2305.668 |
| 125/32 | 2358.941 |
| 125/31 | 2413.906 |
| 25/6 | 2470.672 classic chromatic minor 16th |
| 125/29 | 2529.364 |
| 125/28 | 2590.115 |
| 125/27 | 2653.076 |
| 125/26 | 1518.413 |