Wikispaces>Andrew_Heathwaite |
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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | This is a list of [[harmonic]]s up to 255, sorted by ascending pitch of their [[Octave reduction|octave-reduced]] equivalent (except the octave, which is not reduced). Prime harmonics are in bold. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | |
| : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2009-10-17 14:23:30 UTC</tt>.<br>
| |
| : The original revision id was <tt>95831332</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">A list of many overtones in an octave, arranged by ascending pitch, octave reduced. Prime overtones are highlighted.
| |
|
| |
|
| || overtone || cents || factorization || name || notes || | | {| class="wikitable center-1 right-2 sortable" |
| || 1 || 0 || || unison || || | | |- |
| || 65 || 26.841 || 5 x 13 || || 13-limit || | | ! Harmonic |
| || 33 || 53.273 || 3 x 11 || undecimal comma || 11-limit / close to quarter-tone (1 degree of [[24edo]]) || | | ! Size ([[cents|¢]])<ref>cent values are given for the octave reduced equivalent</ref> |
| || **67** || **79.307** || **prime** || || **close to 1 degree of [[15edo]]** || | | ! class="unsortable" | Factorization |
| || 135 || 92.179 || 3 x 3 x 3 x 5 || || 5-limit ||
| | ! class="unsortable" | Name |
| || **17** || **104.955** || **prime** || **overtone half-step** || **close to 1 degree of [[11edo]] / 2 degrees of [[23edo]]** || | | ! class="unsortable" | Remarks |
| || 69 || 130.229 || 3 x 23 || || close to 1 degree of [[9edo]] || | | |- |
| || 35 || 155.140 || 5 x 7 || || 7-limit / close to 3 degrees of [[24edo]] || | | | [[1/1|1]] |
| || **71** || **179.697** || **prime** || || **close to 3 degrees of [[20edo]]** || | | | 0 |
| || 9 || 203.910 || 3 x 3 || major whole-tone / Pythagorean whole tone || 3-limit || | | | 1 |
| || **73** || **227.789** || **prime** || || **close to 3 degrees of [[16edo]] / 4 degrees of [[21edo]]** || | | | unison |
| || 147 || 239.607 || 3 x 7 x 7 || || 7-limit / close to 1 degree of [[5edo]] || | | | present in all tunings and tonal systems |
| || **37** || **251.344** || **prime** || || **close to 5 degrees of [[24edo]]** || | | |- |
| || 75 || 274.582 || 3 x 5 x 5 || augmented second || 5-limit / close to 5 degrees of [[22edo]], 3 degrees of [[13edo]] || | | | [[129/128|129]] |
| || **19** || **297.513** || **prime** || **overtone minor third** || **close to 3 degrees of [[12edo]] (a.k.a. 1 degree of [[4edo]])** || | | | 13.473 |
| || 39 || 342.483 || 3 x 13 || || 13-limit / close to 2 degrees of [[7edo]] || | | | 3 × 43 |
| || **79** || **364.537** || **prime** || || **close to 7 degrees of [[23edo]]** || | | | |
| || **5** || **386.314** || **prime** || **5-limit major third** || **5-limit / close to 10 degrees of [[31edo]]** || | | | |
| || 81 || 407.820 || 9 x 9 || Pythagorean major third || 3-limit || | | |- |
| || **41** || **429.062** || **prime** || || **close to 5 degrees of [[14edo]]** || | | | [[65/64|65]] |
| || 21 || 470.781 || 3 x 7 || narrow fourth / septimal fourth || 7-limit / close to 9 degrees of [[23edo]] || | | | 26.841 |
| || 85 || 491.269 || 5 x 17 || || near fourth / close to 9 degrees of [[22edo]] || | | | 5 × 13 |
| || **43** || **511.518** || **prime** || || **close to 3 degrees of [[7edo]]** || | | | |
| || 87 || 531.532 || 3 x 29 || || close to 4 degrees of [[9edo]] || | | | [[13-limit]] |
| || **11** || **551.318** || **prime** || **undecimal semi-augmented fourth / undecimal tritone** || **11-limit / close to 11 degrees of [[24edo]]** || | | |- |
| || **89** || **570.880** || **prime** || || **close to 10 degrees of [[21edo]] / 9 degrees of [[19edo]]** || | | | '''[[131/128|131]]''' |
| || 45 || 590.224 || 3 x 3 x 5 || high 5-limit tritone || 5-limit || | | | '''40.108''' |
| || 91 || 609.354 || 7 x 13 || || 13-limit || | | | '''prime''' |
| || **23** || **628.274** || **prime** || || **close to 11 degrees of [[21edo]] / 10 degrees of [[19edo]]** || | | | |
| || 93 || 646.991 || 3 x 31 || || close to 7 degrees of [[13edo]] / 13 degrees of [[24edo]] || | | | '''close to square root of 67''' |
| || **47** || **665.507** || **prime** || || **close to 5 degrees of [[9edo]]** || | | |- |
| || 189 || 674.691 || 3 x 3 x 3 x 7 || || 7-limit / close to 9 degrees of [[16edo]] || | | | [[33/32|33]] |
| || 95 || 683.827 || 5 x 19 || || close to 4 degrees of [[7edo]] || | | | 53.273 |
| || **3** || **701.955** || **prime** || **just perfect fifth** || **3-limit / close to 7 degrees of [[12edo]]** || | | | 3 × 11 |
| || **97** || **719.895** || **prime** || || **close to 3 degrees of [[5edo]]** || | | | undecimal comma |
| || 49 || 737.652 || 7 x 7 || || 7-limit / close to 8 degrees of [[13edo]] || | | | [[11-limit]] / close to quarter-tone (1 [[degree]] of [[24edo]]), square root of 17 |
| || 99 || 755.228 || 3 x 3 x 11 || || 11-limit / close to 5 degrees of [[8edo]] / 12 degrees of [[19edo]] || | | |- |
| || 25 || 772.627 || 5 x 5 || augmented fifth || 5-limit / close to 9 degrees of [[14edo]] / 11 degrees of [[17edo]] || | | | [[133/128|133]] |
| || **101** || **789.854** || **prime** || || || | | | 66.339 |
| || 51 || 806.910 || 3 x 17 || || || | | | 7 × 19 |
| || **103** || **823.801** || **prime** || || **close to 11 degrees of [[16edo]] / 13 degrees of [[19edo]]** || | | | |
| || **13** || **840.528** || **prime** || **overtone sixth** || **13-limit / close to 7 degrees of [[10edo]]** || | | | close to 1 degree of [[18edo]] / [[19edo]], square root of 69 |
| || 105 || 857.095 || 3 x 5 x 7 || || 7-limit / close to 5 degrees of [[7edo]] || | | |- |
| || **53** || **873.505** || **prime** || || **close to 8 degrees of [[11edo]]** || | | | '''[[67/64|67]]''' |
| || 27 || 905.865 || 3 x 3 x 3 || Pythagorean major sixth || 3-limit || | | | '''79.307''' |
| || **109** || **921.821** || **prime** || || **close to 10 degrees of [[13edo]]** ||
| | | '''prime''' |
| || 55 || 937.632 || 5 x 11 || || 11-limit / close to 18 degrees of [[23edo]] || | | | |
| || 111 || 953.299 || 3 x 37 || || close to 19 degrees of [[24edo]] || | | | '''close to 1 degree of [[15edo]]''' |
| || **7** || **968.826** || **prime** || **harmonic seventh / septimal minor seventh** || **7-limit / close to 17 degrees of [[21edo]] / 25 degrees of [[31edo]]** || | | |- |
| || **113** || **984.215** || **prime** || || **close to 9 degrees of [[11edo]]** || | | | [[135/128|135]] |
| || 57 || 999.468 || 3 x 19 || || close to 10 degrees of [[12edo]] (a.k.a. 5 degrees of [[6edo]] || | | | 92.179 |
| || 115 || 1014.588 || 5 x 23 || || close to 11 degrees of [[13edo]] || | | | 3 × 3 × 3 × 5 |
| || **29** || **1029.577** || **prime** || || **close to 6 degrees of [[7edo]]** || | | | |
| || 117 || 1044.438 || 3 x 3 x13 || || 13-limit / close to 13 degrees of [[15edo]] / 20 degrees of [[23edo]] || | | | [[5-limit]], close to 1 degree of [[13edo]] / square root of 71 |
| || **59** || **1059.172** || **prime** || || **close to 15 degrees of [[17edo]]** || | | |- |
| || 119 || 1073.781 || 7 x 17 || || close to 17 degrees of [[19edo]] || | | | '''[[17/16|17]]''' |
| || 15 || 1088.269 || 3 x 5 || 5-limit major seventh || 5-limit / close to 19 degrees of [[21edo]] / 10 degrees of [[11edo]] || | | | '''104.955''' |
| || 121 || 1102.636 || 11 x 11 || || 11-limit / close to 11 degrees of [[12edo]] || | | | '''prime''' |
| || 243 || 1109.775 || 3 x 3 x 3 x 3 x 3 || Pythagorean major seventh || close to 12 degrees of [[13edo]] || | | | '''harmonic half-step''' |
| || **61** || **1116.885** || **prime** || || **close to 13 degrees of [[14edo]]** || | | | '''close to 1 degree of [[11edo]] / 2 degrees of [[23edo]]''' |
| || 123 || 1131.017 || 3 x 41 || || close to 17 degrees of [[18edo]] || | | |- |
| || **31** || **1145.036** || **prime** || || **close to 21 degrees of [[22edo]]** || | | | '''[[137/128|137]]''' |
| || 125 || 1158.941 || 5 x 5 x 5 || || 5-limit || | | | '''117.6385''' |
| || 63 || 1172.736 || 3 x 3 x 7 || || 7-limit || | | | '''prime''' |
| || **127** || **1186.422** || **prime** || || ||
| | | '''harmonic [[secor]]''' |
| || **2** || **1200** || **prime** || **octave** || **2-limit** ||</pre></div> | | | '''close to 3 degrees of [[31edo]],''' '''square root of 73''' |
| <h4>Original HTML content:</h4>
| | |- |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>ListOfOvertones</title></head><body>A list of many overtones in an octave, arranged by ascending pitch, octave reduced. Prime overtones are highlighted.<br />
| | | [[69/64|69]] |
| <br />
| | | 130.229 |
| | | 3 × 23 |
| | | |
| | | close to 1 degree of [[9edo]] |
| | |- |
| | | '''[[139/128|139]]''' |
| | | '''142.729''' |
| | | '''prime''' |
| | | |
| | | '''close to 2 degrees of [[17edo]]''' |
| | |- |
| | | [[35/32|35]] |
| | | 155.140 |
| | | 5 × 7 |
| | | |
| | | [[7-limit]] / close to 3 degrees of [[24edo]] |
| | |- |
| | | [[141/128|141]] |
| | | 167.462 |
| | | 3 × 47 |
| | | |
| | | |
| | |- |
| | | '''[[71/64|71]]''' |
| | | '''179.697''' |
| | | '''prime''' |
| | | |
| | | '''close to 3 degrees of [[20edo]], square root of 79''' |
| | |- |
| | | [[143/128|143]] |
| | | 191.846 |
| | | 11 × 13 |
| | | 11-13 meantone |
| | | [[13-limit]] / close to square root of 5 (a.k.a. 5 degrees of [[31edo]]) |
| | |- |
| | | [[9/8|9]] |
| | | 203.910 |
| | | 3 × 3 |
| | | major whole-tone / Pythagorean whole tone |
| | | [[3-limit]] |
| | |- |
| | | [[145/128|145]] |
| | | 215.891 |
| | | 5 × 29 |
| | | 5-29 eventone |
| | | close to 2 degrees of [[11edo]] |
| | |- |
| | | '''[[73/64|73]]''' |
| | | '''227.789''' |
| | | '''prime''' |
| | | |
| | | '''close to 3 degrees of [[16edo]] / 4 degrees of [[21edo]]''' |
| | |- |
| | | [[147/128|147]] |
| | | 239.607 |
| | | 3 × 7 × 7 |
| | | |
| | | [[7-limit]] / close to 1 degree of [[5edo]], square root of 21 |
| | |- |
| | | '''[[37/32|37]]''' |
| | | '''251.344''' |
| | | '''prime''' |
| | | '''harmonic''' '''hemifourth''' |
| | | '''close to 5 degrees of [[24edo]]''' |
| | |- |
| | | '''[[149/128|149]]''' |
| | | '''263.002''' |
| | | '''prime''' |
| | | '''harmonic subminor third''' |
| | | |
| | |- |
| | | [[75/64|75]] |
| | | 274.582 |
| | | 3 × 5 × 5 |
| | | augmented second |
| | | [[5-limit]] / close to 5 degrees of [[22edo]], 3 degrees of [[13edo]], square root of 11 |
| | |- |
| | | '''[[151/128|151]]''' |
| | | '''286.086''' |
| | | '''prime''' |
| | | '''harmonic gentle minor third''' |
| | | '''close to 4 degrees of [[17edo]]''' |
| | |- |
| | | '''[[19/16|19]]''' |
| | | '''297.513''' |
| | | '''prime''' |
| | | '''harmonic minor third''' |
| | | '''close to 3 degrees of [[12edo]] (a.k.a. 1 degree of [[4edo]])''' |
| | |- |
| | | [[153/128|153]] |
| | | 308.865 |
| | | 3 × 3 × 17 |
| | | |
| | | close to 8 degrees of [[31edo]] |
| | |- |
| | | [[77/64|77]] |
| | | 320.144 |
| | | 7 × 11 |
| | | |
| | | close to 4 degrees of [[15edo]] |
| | |- |
| | | [[155/128|155]] |
| | | 331.349 |
| | | 5 × 31 |
| | | |
| | | |
| | |- |
| | | [[39/32|39]] |
| | | 342.483 |
| | | 3 × 13 |
| | | |
| | | [[13-limit]] / close to 2 degrees of [[7edo]] |
| | |- |
| | | '''[[157/128|157]]''' |
| | | '''353.545''' |
| | | '''prime''' |
| | | '''harmonic''' '''hemififth''' |
| | | '''close to 5 degrees of [[17edo]]''' |
| | |- |
| | | '''[[79/64|79]]''' |
| | | '''364.537''' |
| | | '''prime''' |
| | | |
| | | '''close to 7 degrees of [[23edo]]''' |
| | |- |
| | | [[159/128|159]] |
| | | 375.4595 |
| | | 3 × 53 |
| | | |
| | | close to 5 degrees of [[16edo]] |
| | |- |
| | | '''[[5/4|5]]''' |
| | | '''386.314''' |
| | | '''prime''' |
| | | '''5-limit major third''' |
| | | '''[[5-limit]] / close to 10 degrees of [[31edo]]''' |
| | |- |
| | | [[161/128|161]] |
| | | 397.100 |
| | | 7 × 23 |
| | | |
| | | close to 4 degrees of [[12edo]] (a.k.a. 1 degree of [[3edo]]) |
| | |- |
| | | [[81/64|81]] |
| | | 407.820 |
| | | 3 × 3 × 3 × 3 |
| | | Pythagorean major third |
| | | [[3-limit]] |
| | |- |
| | | '''[[163/128|163]]''' |
| | | '''418.474''' |
| | | '''prime''' |
| | | '''overtone gentle major third''' |
| | | '''close to 8 degrees of [[23edo]] / square root of phi''' |
| | |- |
| | | '''[[41/32|41]]''' |
| | | '''429.062''' |
| | | '''prime''' |
| | | |
| | | '''close to 5 degrees of [[14edo]]''' |
| | |- |
| | | [[165/128|165]] |
| | | 439.587 |
| | | 3 × 5 × 11 |
| | | |
| | | |
| | |- |
| | | '''[[83/64|83]]''' |
| | | '''450.047''' |
| | | '''prime''' |
| | | |
| | | '''close to 3 degrees of [[8edo]]''' |
| | |- |
| | | '''[[167/128|167]]''' |
| | | '''460.445''' |
| | | '''prime''' |
| | | |
| | | |
| | |- |
| | | [[21/16|21]] |
| | | 470.781 |
| | | 3 × 7 |
| | | narrow fourth / septimal fourth |
| | | [[7-limit]] / close to 9 degrees of [[23edo]] |
| | |- |
| | | [[169/128|169]] |
| | | 481.055 |
| | | 13 × 13 |
| | | |
| | | [[13-limit]] / close to 2 degrees of [[5edo]], square root of 7 |
| | |- |
| | | [[85/64|85]] |
| | | 491.269 |
| | | 5 × 17 |
| | | near fourth |
| | | close to 9 degrees of [[22edo]] |
| | |- |
| | | [[171/128|171]] |
| | | 501.423 |
| | | 3 × 3 × 19 |
| | | |
| | | close to 5 degrees of [[12edo]] |
| | |- |
| | | '''[[43/32|43]]''' |
| | | '''511.518''' |
| | | '''prime''' |
| | | |
| | | '''close to 3 degrees of [[7edo]] / square root of 29''' |
| | |- |
| | | '''[[173/128|173]]''' |
| | | '''521.554''' |
| | | '''prime''' |
| | | |
| | | '''close to 10 degrees of [[23edo]]''' |
| | |- |
| | | [[87/64|87]] |
| | | 531.532 |
| | | 3 × 29 |
| | | |
| | | close to 4 degrees of [[9edo]] |
| | |- |
| | | [[175/128|175]] |
| | | 541.453 |
| | | 5 × 5 × 7 |
| | | |
| | | close to 9 degrees of [[20edo]] |
| | |- |
| | | '''[[11/8|11]]''' |
| | | '''551.318''' |
| | | '''prime''' |
| | | '''undecimal semi-augmented fourth / undecimal tritone''' |
| | | '''[[11-limit]] / close to 11 degrees of [[24edo]]''' |
| | |- |
| | | [[177/128|177]] |
| | | 561.127 |
| | | 3 × 59 |
| | | |
| | | close to 7 degrees of [[15edo]] |
| | |- |
| | | '''[[89/64|89]]''' |
| | | '''570.880''' |
| | | '''prime''' |
| | | |
| | | '''close to 10 degrees of [[21edo]] / 9 degrees of [[19edo]] / square root of 31''' |
| | |- |
| | | '''[[179/128|179]]''' |
| | | '''580.579''' |
| | | '''prime''' |
| | | |
| | | '''close to 15 degrees of [[31edo]]''' |
| | |- |
| | | [[45/32|45]] |
| | | 590.224 |
| | | 3 × 3 × 5 |
| | | high 5-limit tritone |
| | | [[5-limit]] / close to square root of 15 |
| | |- |
| | | '''[[181/128|181]]''' |
| | | '''599.815''' |
| | | '''prime''' |
| | | |
| | | '''close to square root of 2''' |
| | |- |
| | | [[91/64|91]] |
| | | 609.354 |
| | | 7 × 13 |
| | | |
| | | [[13-limit]] |
| | |- |
| | | [[183/61|183]] |
| | | 618.840 |
| | | 3 × 61 |
| | | |
| | | |
| | |- |
| | | '''[[23/16|23]]''' |
| | | '''628.274''' |
| | | '''prime''' |
| | | |
| | | '''close to 11 degrees of [[21edo]] / 10 degrees of [[19edo]] / square root of 33''' |
| | |- |
| | | [[185/128|185]] |
| | | 637.658 |
| | | 5 × 37 |
| | | |
| | | |
| | |- |
| | | [[93/64|93]] |
| | | 646.991 |
| | | 3 × 31 |
| | | |
| | | close to 7 degrees of [[13edo]] / 13 degrees of [[24edo]] |
| | |- |
| | | [[187/128|187]] |
| | | 656.273 |
| | | 11 × 17 |
| | | |
| | | close to 11 degrees of [[20edo]] |
| | |- |
| | | '''[[47/32|47]]''' |
| | | '''665.507''' |
| | | '''prime''' |
| | | |
| | | '''close to 5 degrees of [[9edo]]''' |
| | |- |
| | | [[189/128|189]] |
| | | 674.691 |
| | | 3 × 3 × 3 × 7 |
| | | |
| | | [[7-limit]] / close to 9 degrees of [[16edo]], square root of 35 |
| | |- |
| | | [[95/64|95]] |
| | | 683.827 |
| | | 5 × 19 |
| | | |
| | | close to 4 degrees of [[7edo]] |
| | |- |
| | | '''[[191/128|191]]''' |
| | | '''692.9155''' |
| | | '''prime''' |
| | | |
| | | '''close to 11 degrees of [[19edo]]''' |
| | |- |
| | | '''[[3/2|3]]''' |
| | | '''701.955''' |
| | | '''prime''' |
| | | '''just perfect fifth''' |
| | | '''[[3-limit]] / close to 7 degrees of [[12edo]]''' |
| | |- |
| | | '''[[193/128|193]]''' |
| | | '''710.948''' |
| | | '''prime''' |
| | | |
| | | '''close to 13 degrees of [[22edo]]''' |
| | |- |
| | | '''[[97/64|97]]''' |
| | | '''719.895''' |
| | | '''prime''' |
| | | |
| | | '''close to 3 degrees of [[5edo]]''' |
| | |- |
| | | [[195/128|195]] |
| | | 728.796 |
| | | 3 × 5 × 13 |
| | | |
| | | [[13-limit]] / close to 19 degrees of [[31edo]], square root of 37 |
| | |- |
| | | [[49/32|49]] |
| | | 737.652 |
| | | 7 × 7 |
| | | |
| | | [[7-limit]] / close to 8 degrees of [[13edo]] |
| | |- |
| | | '''[[197/128|197]]''' |
| | | '''746.462''' |
| | | '''prime''' |
| | | |
| | | |
| | |- |
| | | [[99/64|99]] |
| | | 755.228 |
| | | 3 × 3 × 11 |
| | | |
| | | [[11-limit]] / close to 5 degrees of [[8edo]] / 12 degrees of [[19edo]] |
| | |- |
| | | '''[[199/128|199]]''' |
| | | '''763.9495''' |
| | | '''prime''' |
| | | |
| | | '''close to 7 degrees of [[11edo]]''' |
| | |- |
| | | [[25/16|25]] |
| | | 772.627 |
| | | 5 × 5 |
| | | augmented fifth |
| | | [[5-limit]] / close to 9 degrees of [[14edo]] / 11 degrees of [[17edo]], square root of 39 |
| | |- |
| | | [[201/128|201]] |
| | | 781.262 |
| | | 3 × 67 |
| | | harmonic gentle minor sixth, circular sixth |
| | | close to 19 degrees of [[23edo]] / pi |
| | |- |
| | | '''[[101/64|101]]''' |
| | | '''789.854''' |
| | | '''prime''' |
| | | |
| | | |
| | |- |
| | | [[203/128|203]] |
| | | 798.403 |
| | | 7 × 29 |
| | | |
| | | close to 8 degrees of [[12edo]] (a.k.a. 2 degrees of [[3edo]]) |
| | |- |
| | | [[51/32|51]] |
| | | 806.910 |
| | | 3 × 17 |
| | | |
| | | |
| | |- |
| | | [[205/128|205]] |
| | | 815.376 |
| | | 5 × 41 |
| | | |
| | | close to 21 degrees of [[31edo]], square root of 41 , |
| | |- |
| | | '''[[103/64|103]]''' |
| | | '''823.801''' |
| | | '''prime''' |
| | | |
| | | '''close to 11 degrees of [[16edo]] / 13 degrees of [[19edo]]''' |
| | |- |
| | | [[207/128|207]] |
| | | 832.143 |
| | | 3 × 3 × 23 |
| | | |
| | | close to 17 degrees of [[22edo]], 10 degrees of [[13edo]] |
| | |- |
| | | '''[[13/8|13]]''' |
| | | '''840.528''' |
| | | '''prime''' |
| | | '''harmonic sixth, golden overtone''' |
| | | '''[[13-limit]] / close to 7 degrees of [[10edo]], golden ratio''' |
| | |- |
| | | [[209/128|209]] |
| | | 848.831 |
| | | 11 × 19 |
| | | 11-19 hemieleventh |
| | | close to 12 degrees of [[17edo]] |
| | |- |
| | | [[105/64|105]] |
| | | 857.095 |
| | | 3 × 5 × 7 |
| | | |
| | | [[7-limit]] / close to 5 degrees of [[7edo]], square root of 43 |
| | |- |
| | | '''[[211/128|211]]''' |
| | | '''865.319''' |
| | | '''prime''' |
| | | |
| | | '''close to 13 degrees of [[18edo]]''' |
| | |- |
| | | '''[[53/32|53]]''' |
| | | '''873.505''' |
| | | '''prime''' |
| | | |
| | | '''close to 8 degrees of [[11edo]]''' |
| | |- |
| | | [[213/128|213]] |
| | | 881.652 |
| | | 3 × 71 |
| | | |
| | | close to 11 degrees of [[15edo]] / close to 14 degrees of [[19edo]] |
| | |- |
| | | '''[[107/64|107]]''' |
| | | ''' 889.760''' |
| | | '''prime''' |
| | | |
| | | |
| | |- |
| | | [[215/128|215]] |
| | | 897.831 |
| | | 5 × 43 |
| | | |
| | | close to 9 degrees of [[12edo]] (a.k.a. 3 degrees of [[4edo]]), square root of 45 |
| | |- |
| | | [[27/16|27]] |
| | | 905.865 |
| | | 3 × 3 × 3 |
| | | Pythagorean major sixth |
| | | [[3-limit]] |
| | |- |
| | | [[217/128|217]] |
| | | 913.8615 |
| | | 7 × 31 |
| | | harmonic gentle major third |
| | | close to 13 degrees of [[17edo]] |
| | |- |
| | | '''[[109/64|109]]''' |
| | | '''921.821''' |
| | | '''prime''' |
| | | |
| | | '''close to 10 degrees of [[13edo]]''' |
| | |- |
| | | [[219/128|219]] |
| | | 929.7445 |
| | | 3 × 73 |
| | | |
| | | close to 24 degrees of [[31edo]], square root of 47 |
| | |- |
| | | [[55/32|55]] |
| | | 937.632 |
| | | 5 × 11 |
| | | |
| | | [[11-limit]] / close to 18 degrees of [[23edo]] |
| | |- |
| | | [[221/128|221]] |
| | | 945.483 |
| | | 13 × 17 |
| | | |
| | | close to 15 degrees of [[19edo]] |
| | |- |
| | | [[111/64|111]] |
| | | 953.299 |
| | | 3 × 37 |
| | | harmonic hemitwelfth |
| | | close to 19 degrees of [[24edo]] / square root of 3 |
| | |- |
| | | '''[[223/128|223]]''' |
| | | '''961.080''' |
| | | '''prime''' |
| | | |
| | | '''close to 4 degrees of [[5edo]]''' |
| | |- |
| | | '''[[7/4|7]]''' |
| | | '''968.826''' |
| | | '''prime''' |
| | | '''harmonic seventh / septimal minor seventh''' |
| | | '''[[7-limit]] / close to 17 degrees of [[21edo]] / 25 degrees of [[31edo]]''' |
| | |- |
| | | [[225/128|225]] |
| | | 976.537 |
| | | 3 × 3 × 5 × 5 |
| | | 5-limit subminor seventh |
| | | [[5-limit]] / close to 11 degrees of [[16edo]] |
| | |- |
| | | '''[[113/64|113]]''' |
| | | '''984.215''' |
| | | '''prime''' |
| | | |
| | | '''close to 9 degrees of [[11edo]]''' |
| | |- |
| | | '''[[227/128|227]]''' |
| | | '''991.858''' |
| | | '''prime''' |
| | | |
| | | |
| | |- |
| | | [[57/32|57]] |
| | | 999.468 |
| | | 3 × 19 |
| | | |
| | | close to 10 degrees of [[12edo]] (a.k.a. 5 degrees of [[6edo]]), square root of 51 |
| | |- |
| | | '''[[229/128|229]]''' |
| | | '''1007.0445''' |
| | | '''prime''' |
| | | |
| | | |
| | |- |
| | | [[115/64|115]] |
| | | 1014.588 |
| | | 5 × 23 |
| | | |
| | | close to 11 degrees of [[13edo]] |
| | |- |
| | | [[231/128|231]] |
| | | 1022.099 |
| | | 3 × 7 × 11 |
| | | |
| | | close to square root of 13 |
| | |- |
| | | '''[[29/16|29]]''' |
| | | '''1029.577''' |
| | | '''prime''' |
| | | |
| | | '''close to 6 degrees of [[7edo]]''' |
| | |- |
| | | '''[[233/128|233]]''' |
| | | '''1037.023''' |
| | | '''prime''' |
| | | |
| | | '''close to square root of 53''' |
| | |- |
| | | [[117/64|117]] |
| | | 1044.438 |
| | | 3 × 3 × 13 |
| | | |
| | | [[13-limit]] / close to 13 degrees of [[15edo]] / 20 degrees of [[23edo]] |
| | |- |
| | | [[235/128|235]] |
| | | 1051.820 |
| | | 5 × 47 |
| | | |
| | | close to 21 degrees of [[24edo]] |
| | |- |
| | | '''[[59/32|59]]''' |
| | | '''1059.172''' |
| | | '''prime''' |
| | | |
| | | '''close to 15 degrees of [[17edo]]''' |
| | |- |
| | | [[237/128|237]] |
| | | 1066.492 |
| | | 3 × 79 |
| | | |
| | | close to 8 degrees of [[9edo]], square root of 55 |
| | |- |
| | | [[119/64|119]] |
| | | 1073.781 |
| | | 7 × 17 |
| | | |
| | | close to 17 degrees of [[19edo]] |
| | |- |
| | | '''[[239/128|239]]''' |
| | | '''1081.040''' |
| | | '''prime''' |
| | | |
| | | '''close to 3 degrees of [[31edo]]''' |
| | |- |
| | | [[15/8|15]] |
| | | 1088.269 |
| | | 3 × 5 |
| | | 5-limit major seventh |
| | | [[5-limit]] / close to 19 degrees of [[21edo]] / 10 degrees of [[11edo]] |
| | |- |
| | | '''[[241/128|241]]''' |
| | | '''1095.467''' |
| | | '''prime''' |
| | | |
| | | |
| | |- |
| | | [[121/64|121]] |
| | | 1102.636 |
| | | 11 × 11 |
| | | |
| | | [[11-limit]] / close to 11 degrees of [[12edo]], square root of 57 |
| | |- |
| | | [[243/128|243]] |
| | | 1109.775 |
| | | 3 × 3 × 3 × 3 × 3 |
| | | Pythagorean major seventh |
| | | close to 12 degrees of [[13edo]] |
| | |- |
| | | '''[[61/32|61]]''' |
| | | '''1116.885''' |
| | | '''prime''' |
| | | |
| | | '''close to 13 degrees of [[14edo]]''' |
| | |- |
| | | [[245/128|245]] |
| | | 1123.9655 |
| | | 5 × 7 × 7 |
| | | |
| | | close to 16 degrees of [[17edo]] |
| | |- |
| | | [[123/64|123]] |
| | | 1131.017 |
| | | 3 × 41 |
| | | |
| | | close to 17 degrees of [[18edo]], 18 degrees of [[19edo]], square root of 59 |
| | |- |
| | | [[247/128|247]] |
| | | 1138.041 |
| | | 13 × 19 |
| | | |
| | | close to 19 degrees of [[20edo]] |
| | |- |
| | | '''[[31/16|31]]''' |
| | | '''1145.036''' |
| | | '''prime''' |
| | | |
| | | '''close to 21 degrees of [[22edo]]''' |
| | |- |
| | | [[249/128|249]] |
| | | 1152.002 |
| | | 3 × 83 |
| | | |
| | | close to 24 degrees of [[25edo]] |
| | |- |
| | | [[125/64|125]] |
| | | 1158.941 |
| | | 5 × 5 × 5 |
| | | |
| | | [[5-limit]], close to square root of 61 |
| | |- |
| | | '''[[251/128|251]]''' |
| | | '''1165.852''' |
| | | '''prime''' |
| | | |
| | | |
| | |- |
| | | [[63/32|63]] |
| | | 1172.736 |
| | | 3 × 3 × 7 |
| | | |
| | | [[7-limit]] |
| | |- |
| | | [[253/128|253]] |
| | | 1179.592 |
| | | 11 × 23 |
| | | |
| | | |
| | |- |
| | | '''[[127/64|127]]''' |
| | | '''1186.422''' |
| | | '''prime''' |
| | | |
| | | '''close to square root of 63''' |
| | |- |
| | | [[255/128|255]] |
| | | 1193.224 |
| | | 3 × 5 × 17 |
| | | |
| | | |
| | |- |
| | | '''[[2/1|2]]''' |
| | | '''1200''' |
| | | '''prime''' |
| | | '''octave''' |
| | | '''[[2-limit]]''' |
| | |} |
| | <references /> |
|
| |
|
| | == See also == |
| | * [[List of tritave reduced harmonics]] |
| | * [[Pentave Reduced Harmonics]] |
|
| |
|
| <table class="wiki_table">
| | [[Category:Octave-reduced harmonics| ]] <!-- main article --> |
| <tr>
| | [[Category:Lists of intervals]] |
| <td>overtone<br />
| | [[Category:Harmonic]] |
| </td>
| |
| <td>cents<br />
| |
| </td>
| |
| <td>factorization<br />
| |
| </td>
| |
| <td>name<br />
| |
| </td>
| |
| <td>notes<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>0<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>unison<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>65<br />
| |
| </td>
| |
| <td>26.841<br />
| |
| </td>
| |
| <td>5 x 13<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>13-limit<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33<br />
| |
| </td>
| |
| <td>53.273<br />
| |
| </td>
| |
| <td>3 x 11<br />
| |
| </td>
| |
| <td>undecimal comma<br />
| |
| </td>
| |
| <td>11-limit / close to quarter-tone (1 degree of <a class="wiki_link" href="/24edo">24edo</a>)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>67</strong><br />
| |
| </td>
| |
| <td><strong>79.307</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 1 degree of <a class="wiki_link" href="/15edo">15edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>135<br />
| |
| </td>
| |
| <td>92.179<br />
| |
| </td>
| |
| <td>3 x 3 x 3 x 5<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5-limit<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>17</strong><br />
| |
| </td>
| |
| <td><strong>104.955</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><strong>overtone half-step</strong><br />
| |
| </td>
| |
| <td><strong>close to 1 degree of <a class="wiki_link" href="/11edo">11edo</a> / 2 degrees of <a class="wiki_link" href="/23edo">23edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>69<br />
| |
| </td>
| |
| <td>130.229<br />
| |
| </td>
| |
| <td>3 x 23<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>close to 1 degree of <a class="wiki_link" href="/9edo">9edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35<br />
| |
| </td>
| |
| <td>155.140<br />
| |
| </td>
| |
| <td>5 x 7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7-limit / close to 3 degrees of <a class="wiki_link" href="/24edo">24edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>71</strong><br />
| |
| </td>
| |
| <td><strong>179.697</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 3 degrees of <a class="wiki_link" href="/20edo">20edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>203.910<br />
| |
| </td>
| |
| <td>3 x 3<br />
| |
| </td>
| |
| <td>major whole-tone / Pythagorean whole tone<br />
| |
| </td>
| |
| <td>3-limit<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>73</strong><br />
| |
| </td>
| |
| <td><strong>227.789</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 3 degrees of <a class="wiki_link" href="/16edo">16edo</a> / 4 degrees of <a class="wiki_link" href="/21edo">21edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>147<br />
| |
| </td>
| |
| <td>239.607<br />
| |
| </td>
| |
| <td>3 x 7 x 7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7-limit / close to 1 degree of <a class="wiki_link" href="/5edo">5edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>37</strong><br />
| |
| </td>
| |
| <td><strong>251.344</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 5 degrees of <a class="wiki_link" href="/24edo">24edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>75<br />
| |
| </td>
| |
| <td>274.582<br />
| |
| </td>
| |
| <td>3 x 5 x 5<br />
| |
| </td>
| |
| <td>augmented second<br />
| |
| </td>
| |
| <td>5-limit / close to 5 degrees of <a class="wiki_link" href="/22edo">22edo</a>, 3 degrees of <a class="wiki_link" href="/13edo">13edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>19</strong><br />
| |
| </td>
| |
| <td><strong>297.513</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><strong>overtone minor third</strong><br />
| |
| </td>
| |
| <td><strong>close to 3 degrees of <a class="wiki_link" href="/12edo">12edo</a> (a.k.a. 1 degree of <a class="wiki_link" href="/4edo">4edo</a>)</strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39<br />
| |
| </td>
| |
| <td>342.483<br />
| |
| </td>
| |
| <td>3 x 13<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>13-limit / close to 2 degrees of <a class="wiki_link" href="/7edo">7edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>79</strong><br />
| |
| </td>
| |
| <td><strong>364.537</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 7 degrees of <a class="wiki_link" href="/23edo">23edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>5</strong><br />
| |
| </td>
| |
| <td><strong>386.314</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><strong>5-limit major third</strong><br />
| |
| </td>
| |
| <td><strong>5-limit / close to 10 degrees of <a class="wiki_link" href="/31edo">31edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>81<br />
| |
| </td>
| |
| <td>407.820<br />
| |
| </td>
| |
| <td>9 x 9<br />
| |
| </td>
| |
| <td>Pythagorean major third<br />
| |
| </td>
| |
| <td>3-limit<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>41</strong><br />
| |
| </td>
| |
| <td><strong>429.062</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 5 degrees of <a class="wiki_link" href="/14edo">14edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21<br />
| |
| </td>
| |
| <td>470.781<br />
| |
| </td>
| |
| <td>3 x 7<br />
| |
| </td>
| |
| <td>narrow fourth / septimal fourth<br />
| |
| </td>
| |
| <td>7-limit / close to 9 degrees of <a class="wiki_link" href="/23edo">23edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>85<br />
| |
| </td>
| |
| <td>491.269<br />
| |
| </td>
| |
| <td>5 x 17<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>near fourth / close to 9 degrees of <a class="wiki_link" href="/22edo">22edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>43</strong><br />
| |
| </td>
| |
| <td><strong>511.518</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 3 degrees of <a class="wiki_link" href="/7edo">7edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>87<br />
| |
| </td>
| |
| <td>531.532<br />
| |
| </td>
| |
| <td>3 x 29<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>close to 4 degrees of <a class="wiki_link" href="/9edo">9edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>11</strong><br />
| |
| </td>
| |
| <td><strong>551.318</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><strong>undecimal semi-augmented fourth / undecimal tritone</strong><br />
| |
| </td>
| |
| <td><strong>11-limit / close to 11 degrees of <a class="wiki_link" href="/24edo">24edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>89</strong><br />
| |
| </td>
| |
| <td><strong>570.880</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 10 degrees of <a class="wiki_link" href="/21edo">21edo</a> / 9 degrees of <a class="wiki_link" href="/19edo">19edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45<br />
| |
| </td>
| |
| <td>590.224<br />
| |
| </td>
| |
| <td>3 x 3 x 5<br />
| |
| </td>
| |
| <td>high 5-limit tritone<br />
| |
| </td>
| |
| <td>5-limit<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>91<br />
| |
| </td>
| |
| <td>609.354<br />
| |
| </td>
| |
| <td>7 x 13<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>13-limit<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>23</strong><br />
| |
| </td>
| |
| <td><strong>628.274</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 11 degrees of <a class="wiki_link" href="/21edo">21edo</a> / 10 degrees of <a class="wiki_link" href="/19edo">19edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>93<br />
| |
| </td>
| |
| <td>646.991<br />
| |
| </td>
| |
| <td>3 x 31<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>close to 7 degrees of <a class="wiki_link" href="/13edo">13edo</a> / 13 degrees of <a class="wiki_link" href="/24edo">24edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>47</strong><br />
| |
| </td>
| |
| <td><strong>665.507</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 5 degrees of <a class="wiki_link" href="/9edo">9edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>189<br />
| |
| </td>
| |
| <td>674.691<br />
| |
| </td>
| |
| <td>3 x 3 x 3 x 7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7-limit / close to 9 degrees of <a class="wiki_link" href="/16edo">16edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>95<br />
| |
| </td>
| |
| <td>683.827<br />
| |
| </td>
| |
| <td>5 x 19<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>close to 4 degrees of <a class="wiki_link" href="/7edo">7edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>3</strong><br />
| |
| </td>
| |
| <td><strong>701.955</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><strong>just perfect fifth</strong><br />
| |
| </td>
| |
| <td><strong>3-limit / close to 7 degrees of <a class="wiki_link" href="/12edo">12edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>97</strong><br />
| |
| </td>
| |
| <td><strong>719.895</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 3 degrees of <a class="wiki_link" href="/5edo">5edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>737.652<br />
| |
| </td>
| |
| <td>7 x 7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7-limit / close to 8 degrees of <a class="wiki_link" href="/13edo">13edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>99<br />
| |
| </td>
| |
| <td>755.228<br />
| |
| </td>
| |
| <td>3 x 3 x 11<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11-limit / close to 5 degrees of <a class="wiki_link" href="/8edo">8edo</a> / 12 degrees of <a class="wiki_link" href="/19edo">19edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>772.627<br />
| |
| </td>
| |
| <td>5 x 5<br />
| |
| </td>
| |
| <td>augmented fifth<br />
| |
| </td>
| |
| <td>5-limit / close to 9 degrees of <a class="wiki_link" href="/14edo">14edo</a> / 11 degrees of <a class="wiki_link" href="/17edo">17edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>101</strong><br />
| |
| </td>
| |
| <td><strong>789.854</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>806.910<br />
| |
| </td>
| |
| <td>3 x 17<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>103</strong><br />
| |
| </td>
| |
| <td><strong>823.801</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 11 degrees of <a class="wiki_link" href="/16edo">16edo</a> / 13 degrees of <a class="wiki_link" href="/19edo">19edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>13</strong><br />
| |
| </td>
| |
| <td><strong>840.528</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><strong>overtone sixth</strong><br />
| |
| </td>
| |
| <td><strong>13-limit / close to 7 degrees of <a class="wiki_link" href="/10edo">10edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>105<br />
| |
| </td>
| |
| <td>857.095<br />
| |
| </td>
| |
| <td>3 x 5 x 7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7-limit / close to 5 degrees of <a class="wiki_link" href="/7edo">7edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>53</strong><br />
| |
| </td>
| |
| <td><strong>873.505</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 8 degrees of <a class="wiki_link" href="/11edo">11edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
| |
| <td>905.865<br />
| |
| </td>
| |
| <td>3 x 3 x 3<br />
| |
| </td>
| |
| <td>Pythagorean major sixth<br />
| |
| </td>
| |
| <td>3-limit<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>109</strong><br />
| |
| </td>
| |
| <td><strong>921.821</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 10 degrees of <a class="wiki_link" href="/13edo">13edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>937.632<br />
| |
| </td>
| |
| <td>5 x 11<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11-limit / close to 18 degrees of <a class="wiki_link" href="/23edo">23edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>111<br />
| |
| </td>
| |
| <td>953.299<br />
| |
| </td>
| |
| <td>3 x 37<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>close to 19 degrees of <a class="wiki_link" href="/24edo">24edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>7</strong><br />
| |
| </td>
| |
| <td><strong>968.826</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><strong>harmonic seventh / septimal minor seventh</strong><br />
| |
| </td>
| |
| <td><strong>7-limit / close to 17 degrees of <a class="wiki_link" href="/21edo">21edo</a> / 25 degrees of <a class="wiki_link" href="/31edo">31edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>113</strong><br />
| |
| </td>
| |
| <td><strong>984.215</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 9 degrees of <a class="wiki_link" href="/11edo">11edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>999.468<br />
| |
| </td>
| |
| <td>3 x 19<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>close to 10 degrees of <a class="wiki_link" href="/12edo">12edo</a> (a.k.a. 5 degrees of <a class="wiki_link" href="/6edo">6edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>115<br />
| |
| </td>
| |
| <td>1014.588<br />
| |
| </td>
| |
| <td>5 x 23<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>close to 11 degrees of <a class="wiki_link" href="/13edo">13edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>29</strong><br />
| |
| </td>
| |
| <td><strong>1029.577</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 6 degrees of <a class="wiki_link" href="/7edo">7edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>117<br />
| |
| </td>
| |
| <td>1044.438<br />
| |
| </td>
| |
| <td>3 x 3 x13<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>13-limit / close to 13 degrees of <a class="wiki_link" href="/15edo">15edo</a> / 20 degrees of <a class="wiki_link" href="/23edo">23edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>59</strong><br />
| |
| </td>
| |
| <td><strong>1059.172</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 15 degrees of <a class="wiki_link" href="/17edo">17edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>119<br />
| |
| </td>
| |
| <td>1073.781<br />
| |
| </td>
| |
| <td>7 x 17<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>close to 17 degrees of <a class="wiki_link" href="/19edo">19edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>1088.269<br />
| |
| </td>
| |
| <td>3 x 5<br />
| |
| </td>
| |
| <td>5-limit major seventh<br />
| |
| </td>
| |
| <td>5-limit / close to 19 degrees of <a class="wiki_link" href="/21edo">21edo</a> / 10 degrees of <a class="wiki_link" href="/11edo">11edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>121<br />
| |
| </td>
| |
| <td>1102.636<br />
| |
| </td>
| |
| <td>11 x 11<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11-limit / close to 11 degrees of <a class="wiki_link" href="/12edo">12edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>243<br />
| |
| </td>
| |
| <td>1109.775<br />
| |
| </td>
| |
| <td>3 x 3 x 3 x 3 x 3<br />
| |
| </td>
| |
| <td>Pythagorean major seventh<br />
| |
| </td>
| |
| <td>close to 12 degrees of <a class="wiki_link" href="/13edo">13edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>61</strong><br />
| |
| </td>
| |
| <td><strong>1116.885</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 13 degrees of <a class="wiki_link" href="/14edo">14edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>123<br />
| |
| </td>
| |
| <td>1131.017<br />
| |
| </td>
| |
| <td>3 x 41<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>close to 17 degrees of <a class="wiki_link" href="/18edo">18edo</a><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>31</strong><br />
| |
| </td>
| |
| <td><strong>1145.036</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><strong>close to 21 degrees of <a class="wiki_link" href="/22edo">22edo</a></strong><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>125<br />
| |
| </td>
| |
| <td>1158.941<br />
| |
| </td>
| |
| <td>5 x 5 x 5<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5-limit<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>63<br />
| |
| </td>
| |
| <td>1172.736<br />
| |
| </td>
| |
| <td>3 x 3 x 7<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7-limit<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>127</strong><br />
| |
| </td>
| |
| <td><strong>1186.422</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><strong>2</strong><br />
| |
| </td>
| |
| <td><strong>1200</strong><br />
| |
| </td>
| |
| <td><strong>prime</strong><br />
| |
| </td>
| |
| <td><strong>octave</strong><br />
| |
| </td>
| |
| <td><strong>2-limit</strong><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
| | |
| </body></html></pre></div>
| |