Gallery of just intervals: Difference between revisions

Wikispaces>Nickname2
**Imported revision 582512405 - Original comment: **
Wikispaces>Nickname2
**Imported revision 582514835 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Nickname2|Nickname2]] and made on <tt>2016-05-09 09:37:47 UTC</tt>.<br>
: This revision was by author [[User:Nickname2|Nickname2]] and made on <tt>2016-05-09 09:53:24 UTC</tt>.<br>
: The original revision id was <tt>582512405</tt>.<br>
: The original revision id was <tt>582514835</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 43: Line 43:
|| [[59049_57344|59049/57344]] || 50.724102 || Harrison's comma ||
|| [[59049_57344|59049/57344]] || 50.724102 || Harrison's comma ||
|| [[100_97|100/97]] || 52.732017 || shrutar quarter tone ||
|| [[100_97|100/97]] || 52.732017 || shrutar quarter tone ||
|| [[33_32|33/32]] || 53.272943 || undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave reduced 33rd harmonic ||
|| [[33_32|33/32]] || 53.272943 || undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic ||
|| [[648_625]] || 62.565148 || diminished comma, major diesis ||
|| [[648_625]] || 62.565148 || diminished comma, major diesis ||
|| [[28_27|28/27]] || 62.960904 || septimal chroma, small septimal chromatic semitone, septimal subminor second ||
|| [[28_27|28/27]] || 62.960904 || septimal chroma, small septimal chromatic semitone, septimal subminor second ||
Line 54: Line 54:
|| [[135_128|135/128]] || 92.178716 || major limma ||
|| [[135_128|135/128]] || 92.178716 || major limma ||
|| [[18_17|18/17]] || 98.954592 || small septendecimal semitone, Arabic lute index finger ||
|| [[18_17|18/17]] || 98.954592 || small septendecimal semitone, Arabic lute index finger ||
|| [[17_16|17/16]] || 104.95541 || large septendecimal semitone, octave reduced 17th harmonic ||
|| [[17_16|17/16]] || 104.95541 || large septendecimal semitone, octave-reduced 17th harmonic ||
|| [[16_15|16/15]] || 111.731285 || diatonic semitone, classic minor second, octave reduced 15th subharmonic ||
|| [[16_15|16/15]] || 111.731285 || diatonic semitone, classic minor second, octave-reduced 15th subharmonic ||
|| [[2187_2048|2187/2048]] || 113.685006 || apotome ||
|| [[2187_2048|2187/2048]] || 113.685006 || apotome ||
|| [[77_72|77/72]] || 116.233847 || undecimal secor ||
|| [[77_72|77/72]] || 116.233847 || undecimal secor ||
Line 75: Line 75:
|| [[28_25|28/25]] || 196.198479 || middle major second ||
|| [[28_25|28/25]] || 196.198479 || middle major second ||
|| [[55_49|55/49]] || 199.979843 || werckismic tone ||
|| [[55_49|55/49]] || 199.979843 || werckismic tone ||
|| [[9_8|9/8]] || 203.910002 || major whole tone, Pythagorean tone, octave reduced 9th harmonic ||
|| [[9_8|9/8]] || 203.910002 || major whole tone, Pythagorean tone, octave-reduced 9th harmonic ||
|| [[17_15|17/15]] || 216.686695 || septendecimal whole tone, septendecimal eventone ||
|| [[17_15|17/15]] || 216.686695 || septendecimal whole tone, septendecimal eventone ||
|| [[8_7|8/7]] || 231.174094 || supermajor second, septimal whole tone, diminished third, 7th subharmonic ||
|| [[8_7|8/7]] || 231.174094 || supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic ||
|| [[63_55|63/55]] || 235.104252 || werckismic supermajor second ||
|| [[63_55|63/55]] || 235.104252 || werckismic supermajor second ||
|| [[55_48|55/48]] || 235.676655 || keenanismic supermajor second ||
|| [[55_48|55/48]] || 235.676655 || keenanismic supermajor second ||
|| [[15_13|15/13]] || 247.741053 || semifourth, tridecimal ultramajor second, tridecimal inframinor third ||
|| [[15_13|15/13]] || 247.741053 || semifourth, tridecimal ultramajor second, tridecimal inframinor third ||
|| [[22_19|22/19]] || 253.804926 || minimal minor third, godzilla third ||
|| [[22_19|22/19]] || 253.804926 || minimal minor third, godzilla third ||
|| [[64_55|64/55]] || 262.368344 || keenanismic subminor third, octave reduced 55th subharmonic ||
|| [[64_55|64/55]] || 262.368344 || keenanismic subminor third, octave-reduced 55th subharmonic ||
|| [[7_6|7/6]] || 266.870906 || subminor third, septimal minor third, augmented second ||
|| [[7_6|7/6]] || 266.870906 || subminor third, septimal minor third, augmented second ||
|| [[90_77|90/77]] || 270.079867 || swetismic subminor third ||
|| [[90_77|90/77]] || 270.079867 || swetismic subminor third ||
Line 89: Line 89:
|| [[20_17|20/17]] || 281.358304 || septendecimal augmented second, septendecimal minor third ||
|| [[20_17|20/17]] || 281.358304 || septendecimal augmented second, septendecimal minor third ||
|| [[13_11|13/11]] || 289.209179 || tridecimal minor third ||
|| [[13_11|13/11]] || 289.209179 || tridecimal minor third ||
|| [[32_27|32/27]] || 294.134997 || Pythagorean minor third, octave reduced 27th subharmonic ||
|| [[32_27|32/27]] || 294.134997 || Pythagorean minor third, octave-reduced 27th subharmonic ||
|| [[19_16|19/16]] || 297.513016 || otonal minor third, octave reduced 19th harmonic ||
|| [[19_16|19/16]] || 297.513016 || otonal minor third, octave-reduced 19th harmonic ||
|| [[25_21|25/21]] || 301.84652 || quasi-tempered minor third ||
|| [[25_21|25/21]] || 301.84652 || quasi-tempered minor third ||
|| [[61_51|61/51]] || 309.974395 || myna third ||
|| [[61_51|61/51]] || 309.974395 || myna third ||
|| [[6_5|6/5]] || 315.641287 || minor third, pental minor third ||
|| [[6_5|6/5]] || 315.641287 || minor third, pental minor third ||
|| [[77_64|77/64]] || 320.143849 || keenanismic minor third, octave reduced 77th harmonic ||
|| [[77_64|77/64]] || 320.143849 || keenanismic minor third, octave-reduced 77th harmonic ||
|| 135/112 || 323.3528 || large septimal minor third, marvelous minor third ||
|| 135/112 || 323.3528 || large septimal minor third, marvelous minor third ||
|| [[35_29|35/29]] || 325.562426 || doublewide minor third ||
|| [[35_29|35/29]] || 325.562426 || doublewide minor third ||
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|| [[76_61|76/61]] || 380.628211 || magic major third ||
|| [[76_61|76/61]] || 380.628211 || magic major third ||
|| [[96_77|96/77]] || 381.811152 || undecimal perde segah, keenanismic major third ||
|| [[96_77|96/77]] || 381.811152 || undecimal perde segah, keenanismic major third ||
|| [[5_4|5/4]] || 386.313714 || major third, octave reduced 5th harmonic, pental major third ||
|| [[5_4|5/4]] || 386.313714 || major third, octave-reduced 5th harmonic, pental major third ||
|| [[81_64|81/64]] || 407.820003 || Pythagorean major third, octave reduced 81st harmonic ||
|| [[81_64|81/64]] || 407.820003 || Pythagorean major third, octave-reduced 81st harmonic ||
|| [[80_63|80/63]] || 413.577806 || werckismic sharp major third ||
|| [[80_63|80/63]] || 413.577806 || werckismic sharp major third ||
|| [[14_11|14/11]] || 417.507964 || undecimal major third, undecimal diminished fourth ||
|| [[14_11|14/11]] || 417.507964 || undecimal major third, undecimal diminished fourth ||
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|| [[64_49|64/49]] || 462.348187 || septatonic major third ||
|| [[64_49|64/49]] || 462.348187 || septatonic major third ||
|| [[17_13|17/13]] || 464.427748 || septendecimal sub-fourth ||
|| [[17_13|17/13]] || 464.427748 || septendecimal sub-fourth ||
|| [[21_16|21/16]] || 470.780907 || sub-fourth, narrow fourth, augmented third, octave reduced 21st harmonic ||
|| [[21_16|21/16]] || 470.780907 || sub-fourth, narrow fourth, augmented third, octave-reduced 21st harmonic ||
|| 33/25 || &lt;span style="background-color: #ffffff;"&gt;480.645516&lt;/span&gt; || "5-EDO"-esque fourth ||
|| 33/25 || &lt;span style="background-color: #ffffff;"&gt;480.645516&lt;/span&gt; || "5-EDO"-esque fourth ||
|| 117/88 || 493.1197 || tridecimal gentle fourth (2.3.11.13) ||
|| 117/88 || 493.1197 || tridecimal gentle fourth (2.3.11.13) ||
|| [[4_3|4/3]] || 498.044999 || just perfect fourth, octave reduced 3rd subharmonic, diatessaron ||
|| [[4_3|4/3]] || 498.044999 || just perfect fourth, octave-reduced 3rd subharmonic, diatessaron ||
|| [[75_56|75/56]] || 505.756522 || marvelous fourth ||
|| [[75_56|75/56]] || 505.756522 || marvelous fourth ||
|| [[27_20|27/20]] || 519.551289 || acute fourth ||
|| [[27_20|27/20]] || 519.551289 || acute fourth ||
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|| [[15_11|15/11]] || 536.950772 || undecimal augmented fourth, subaugmented fourth ||
|| [[15_11|15/11]] || 536.950772 || undecimal augmented fourth, subaugmented fourth ||
|| [[48_35|48/35]] || 546.815381 || septimal super-fourth ||
|| [[48_35|48/35]] || 546.815381 || septimal super-fourth ||
|| [[11_8|11/8]] || 551.317942 || super-fourth, undecimal semi-augmented fourth, octave reduced 11th harmonic or harmonic 11th, Alphorn-Fa ||
|| [[11_8|11/8]] || 551.317942 || super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa ||
|| [[18_13|18/13]] || 563.38234 || tridecimal augmented fourth ||
|| [[18_13|18/13]] || 563.38234 || tridecimal augmented fourth ||
|| [[25_18|25/18]] || 568.717426 || classic augmented fourth, pental augmented fourth ||
|| [[25_18|25/18]] || 568.717426 || classic augmented fourth, pental augmented fourth ||
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|| [[17_12|17/12]] || 603.000409 || larger septendecimal tritone ||
|| [[17_12|17/12]] || 603.000409 || larger septendecimal tritone ||
|| [[10_7|10/7]] || 617.487807 || diminished fifth, Euler's tritone, superaugmented fourth ||
|| [[10_7|10/7]] || 617.487807 || diminished fifth, Euler's tritone, superaugmented fourth ||
|| [[xenharmonic/23_16|23/16]] || 628.2743 || 23-limit superaugmented fourth, octave reduced 23rd harmonic ||
|| [[xenharmonic/23_16|23/16]] || 628.2743 || 23-limit superaugmented fourth, octave-reduced 23rd harmonic ||
|| [[36_25|36/25]] || 631.282574 || pental diminished fifth, classic diminshed fifth ||
|| [[36_25|36/25]] || 631.282574 || pental diminished fifth, classic diminshed fifth ||
|| [[13_9|13/9]] || 636.61766 || tridecimal diminished fifth ||
|| [[13_9|13/9]] || 636.61766 || tridecimal diminished fifth ||
|| [[16_11|16/11]] || 648.682058 || sub-fifth, 11th subharmonic (octave reduced) ||
|| [[16_11|16/11]] || 648.682058 || sub-fifth, octave-reduced 11th subharmonic ||
|| [[35_24|35/24]] || 653.184619 || septimal sub-fifth ||
|| [[35_24|35/24]] || 653.184619 || septimal sub-fifth ||
|| [[22_15|22/15]] || 663.049228 || undecimal diminished fifth, semidiminished fifth ||
|| [[22_15|22/15]] || 663.049228 || undecimal diminished fifth, semidiminished fifth ||
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|| [[40_27|40/27]] || 680.448711 || grave fifth ||
|| [[40_27|40/27]] || 680.448711 || grave fifth ||
|| [[112_75|112/75]] || 694.243478 || marvelous fifth ||
|| [[112_75|112/75]] || 694.243478 || marvelous fifth ||
|| [[Just perfect fifth|3/2]] || 701.955001 || [[perfect fifth|just perfect fifth]], octave reduced 3rd harmonic, diapente ||
|| [[Just perfect fifth|3/2]] || 701.955001 || [[perfect fifth|just perfect fifth]], octave-reduced 3rd harmonic, diapente ||
|| [[xenharmonic/182_121|182/121]] || &lt;span style="line-height: 1.5;"&gt;706.7177&lt;/span&gt; || tridecimal gentle fifth (2.7.11.13) ||
|| [[xenharmonic/182_121|182/121]] || &lt;span style="line-height: 1.5;"&gt;706.7177&lt;/span&gt; || tridecimal gentle fifth (2.7.11.13) ||
|| 176/117 || &lt;span style="line-height: 1.5;"&gt;706.8803&lt;/span&gt; || tridecimal gentle fifth (2.3.11.13) ||
|| 176/117 || &lt;span style="line-height: 1.5;"&gt;706.8803&lt;/span&gt; || tridecimal gentle fifth (2.3.11.13) ||
|| 50/33 || &lt;span style="background-color: #ffffff;"&gt;719.354484&lt;/span&gt; || "5-EDO"-esque fifth ||
|| 50/33 || &lt;span style="background-color: #ffffff;"&gt;719.354484&lt;/span&gt; || "5-EDO"-esque fifth ||
|| [[32_21|32/21]] || 729.219093 || super-fifth, wide fifth, diminished sixth, octave reduced 21st subharmonic ||
|| [[32_21|32/21]] || 729.219093 || super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic ||
|| [[26_17|26/17]] || 735.572252 || septendecimal super-fifth ||
|| [[26_17|26/17]] || 735.572252 || septendecimal super-fifth ||
|| [[49_32|49/32]] || 737.651813 || superduper fifth, octave reduced 49th harmonic ||
|| [[49_32|49/32]] || 737.651813 || superduper fifth, octave-reduced 49th harmonic ||
|| [[20_13|20/13]] || 745.786052 || Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth ||
|| [[20_13|20/13]] || 745.786052 || Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth ||
|| [[17_11|17/11]] || 753.637467 || septendecimal subminor sixth ||
|| [[17_11|17/11]] || 753.637467 || septendecimal subminor sixth ||
|| [[14_9|14/9]] || 764.915905 || subminor sixth, septimal minor sixth, augmented fifth ||
|| [[14_9|14/9]] || 764.915905 || subminor sixth, septimal minor sixth, augmented fifth ||
|| [[25_16|25/16]] || 772.627428 || pental augmented fifth, classic augmented fifth, otonal minor sixth ||
|| [[25_16|25/16]] || 772.627428 || pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic ||
|| [[11_7|11/7]] || 782.492036 || undecimal subminor sixth, undecimal augmented fifth ||
|| [[11_7|11/7]] || 782.492036 || undecimal subminor sixth, undecimal augmented fifth ||
|| [[8_5|8/5]] || 813.686286 || minor sixth, octave reduced 5th subharmonic ||
|| [[8_5|8/5]] || 813.686286 || minor sixth, octave-reduced 5th subharmonic ||
|| [[13_8|13/8]] || 840.527662 || tridecimal neutral sixth ||
|| [[13_8|13/8]] || 840.527662 || tridecimal neutral sixth, octave-reduced 13th harmonic ||
|| [[80_49|80/49]] || 848.661901 ||  ||
|| [[80_49|80/49]] || 848.661901 ||  ||
|| [[49_30|49/30]] || 849.383198 ||  ||
|| [[49_30|49/30]] || 849.383198 ||  ||
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|| [[5_3|5/3]] || 884.358713 || major sixth ||
|| [[5_3|5/3]] || 884.358713 || major sixth ||
|| [[42_25|42/25]] || 898.15348 ||  ||
|| [[42_25|42/25]] || 898.15348 ||  ||
|| [[27_16|27/16]] || 905.865003 || Pythagorean major sixth, octave reduced 27th harmonic ||
|| [[27_16|27/16]] || 905.865003 || Pythagorean major sixth, octave-reduced 27th harmonic ||
|| [[22_13|22/13]] || 910.790821 || tridecimal major sixth ||
|| [[22_13|22/13]] || 910.790821 || tridecimal major sixth ||
|| [[17_10|17/10]] || 918.641696 || septendecimal diminished seventh, septendecimal major sixth ||
|| [[17_10|17/10]] || 918.641696 || septendecimal diminished seventh, septendecimal major sixth ||
|| [[12_7|12/7]] || 933.129094 || supermajor sixth, septimal major sixth, diminished seventh ||
|| [[12_7|12/7]] || 933.129094 || supermajor sixth, septimal major sixth, diminished seventh ||
|| [[26_15|26/15]] || 952.258947 || semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth ||
|| [[26_15|26/15]] || 952.258947 || semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth ||
|| [[7_4|7/4]] || 968.825906 || subminor seventh, harmonic seventh, augmented sixth, octave reduced 7th harmonic ||
|| [[7_4|7/4]] || 968.825906 || subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic ||
|| [[225_128|225/128]] || 976.537429 || marvel five-limit harmonic seventh ||
|| [[225_128|225/128]] || 976.537429 || marvel five-limit harmonic seventh, octave-reduced 225th harmonic ||
|| [[30_17|30/17]] || 983.313305 || septendecimal minor seventh ||
|| [[30_17|30/17]] || 983.313305 || septendecimal minor seventh ||
|| [[16_9|16/9]] || 996.089998 || Pythagorean minor seventh, small minor seventh, octave reduced 9th subharmonic ||
|| [[16_9|16/9]] || 996.089998 || Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic ||
|| [[25_14|25/14]] || 1003.801521 ||  ||
|| [[25_14|25/14]] || 1003.801521 ||  ||
|| [[9_5|9/5]] || 1017.596288 || minor seventh, large minor seventh ||
|| [[9_5|9/5]] || 1017.596288 || minor seventh, large minor seventh ||
|| [[xenharmonic/29_16|29/16]] || 1029.5772 || 29-limit large minor seventh, octave reduced 29th harmonic ||
|| [[xenharmonic/29_16|29/16]] || 1029.5772 || 29-limit large minor seventh, octave-reduced 29th harmonic ||
|| [[20_11|20/11]] || 1034.995772 || undecimal minor seventh, small undecimal neutral seventh ||
|| [[20_11|20/11]] || 1034.995772 || undecimal minor seventh, small undecimal neutral seventh ||
|| [[64_35|64/35]] || 1044.86038 ||  ||
|| [[64_35|64/35]] || 1044.86038 ||  ||
Line 189: Line 189:
|| [[13_7|13/7]] || 1071.701755 || 16/3-tone, tridecimal submajor seventh ||
|| [[13_7|13/7]] || 1071.701755 || 16/3-tone, tridecimal submajor seventh ||
|| [[28_15|28/15]] || 1080.557192 || grave major seventh ||
|| [[28_15|28/15]] || 1080.557192 || grave major seventh ||
|| [[15_8|15/8]] || 1088.268715 || major seventh, just major seventh, octave reduced 15th harmonic ||
|| [[15_8|15/8]] || 1088.268715 || major seventh, just major seventh, octave-reduced 15th harmonic ||
|| [[32_17|32/17]] || 1095.04459 || small septendecimal major seventh, octave reduced 17th subharmonic ||
|| [[32_17|32/17]] || 1095.04459 || small septendecimal major seventh, octave-reduced 17th subharmonic ||
|| [[17_9|17/9]] || 1101.045408 || large septendecimal major seventh ||
|| [[17_9|17/9]] || 1101.045408 || large septendecimal major seventh ||
|| [[243_128|243/128]] || 1109.775004 || Pythagorean major seventh ||
|| [[243_128|243/128]] || 1109.775004 || Pythagorean major seventh, octave-reduced 243rd harmonic ||
|| [[40_21|40/21]] || 1115.532907 || acute major seventh ||
|| [[40_21|40/21]] || 1115.532907 || acute major seventh ||
|| [[61_32|61/32]] || 1116.884905 || octave reduced 61st harmonic ||
|| [[61_32|61/32]] || 1116.884905 || octave-reduced 61st harmonic ||
|| [[48_25|48/25]] || 1129.327573 ||  ||
|| [[48_25|48/25]] || 1129.327573 ||  ||
|| [[xenharmonic/31_16|31/16]] || 1145.0356 || 31-limit ultramajor seventh, octave reduced 31st harmonic ||
|| [[xenharmonic/31_16|31/16]] || 1145.0356 || 31-limit ultramajor seventh, octave-reduced 31st harmonic ||
|| [[64_33|64/33]] || 1146.727057 || octave reduced 33rd subharmonic ||
|| [[64_33|64/33]] || 1146.727057 || octave-reduced 33rd subharmonic ||
|| [[35_18|35/18]] || 1151.239619 ||  ||
|| [[35_18|35/18]] || 1151.239619 ||  ||
|| [[96_49|96/49]] || 1164.303188 ||  ||
|| [[96_49|96/49]] || 1164.303188 ||  ||
Line 395: Line 395:
         &lt;td&gt;53.272943&lt;br /&gt;
         &lt;td&gt;53.272943&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave reduced 33rd harmonic&lt;br /&gt;
         &lt;td&gt;undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 483: Line 483:
         &lt;td&gt;104.95541&lt;br /&gt;
         &lt;td&gt;104.95541&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;large septendecimal semitone, octave reduced 17th harmonic&lt;br /&gt;
         &lt;td&gt;large septendecimal semitone, octave-reduced 17th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 491: Line 491:
         &lt;td&gt;111.731285&lt;br /&gt;
         &lt;td&gt;111.731285&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;diatonic semitone, classic minor second, octave reduced 15th subharmonic&lt;br /&gt;
         &lt;td&gt;diatonic semitone, classic minor second, octave-reduced 15th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 651: Line 651:
         &lt;td&gt;203.910002&lt;br /&gt;
         &lt;td&gt;203.910002&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;major whole tone, Pythagorean tone, octave reduced 9th harmonic&lt;br /&gt;
         &lt;td&gt;major whole tone, Pythagorean tone, octave-reduced 9th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 667: Line 667:
         &lt;td&gt;231.174094&lt;br /&gt;
         &lt;td&gt;231.174094&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;supermajor second, septimal whole tone, diminished third, 7th subharmonic&lt;br /&gt;
         &lt;td&gt;supermajor second, septimal whole tone, diminished third, octave-reduced 7th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 707: Line 707:
         &lt;td&gt;262.368344&lt;br /&gt;
         &lt;td&gt;262.368344&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;keenanismic subminor third, octave reduced 55th subharmonic&lt;br /&gt;
         &lt;td&gt;keenanismic subminor third, octave-reduced 55th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 763: Line 763:
         &lt;td&gt;294.134997&lt;br /&gt;
         &lt;td&gt;294.134997&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean minor third, octave reduced 27th subharmonic&lt;br /&gt;
         &lt;td&gt;Pythagorean minor third, octave-reduced 27th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 771: Line 771:
         &lt;td&gt;297.513016&lt;br /&gt;
         &lt;td&gt;297.513016&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;otonal minor third, octave reduced 19th harmonic&lt;br /&gt;
         &lt;td&gt;otonal minor third, octave-reduced 19th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 803: Line 803:
         &lt;td&gt;320.143849&lt;br /&gt;
         &lt;td&gt;320.143849&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;keenanismic minor third, octave reduced 77th harmonic&lt;br /&gt;
         &lt;td&gt;keenanismic minor third, octave-reduced 77th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 923: Line 923:
         &lt;td&gt;386.313714&lt;br /&gt;
         &lt;td&gt;386.313714&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;major third, octave reduced 5th harmonic, pental major third&lt;br /&gt;
         &lt;td&gt;major third, octave-reduced 5th harmonic, pental major third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 931: Line 931:
         &lt;td&gt;407.820003&lt;br /&gt;
         &lt;td&gt;407.820003&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean major third, octave reduced 81st harmonic&lt;br /&gt;
         &lt;td&gt;Pythagorean major third, octave-reduced 81st harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,027: Line 1,027:
         &lt;td&gt;470.780907&lt;br /&gt;
         &lt;td&gt;470.780907&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;sub-fourth, narrow fourth, augmented third, octave reduced 21st harmonic&lt;br /&gt;
         &lt;td&gt;sub-fourth, narrow fourth, augmented third, octave-reduced 21st harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,051: Line 1,051:
         &lt;td&gt;498.044999&lt;br /&gt;
         &lt;td&gt;498.044999&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;just perfect fourth, octave reduced 3rd subharmonic, diatessaron&lt;br /&gt;
         &lt;td&gt;just perfect fourth, octave-reduced 3rd subharmonic, diatessaron&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,107: Line 1,107:
         &lt;td&gt;551.317942&lt;br /&gt;
         &lt;td&gt;551.317942&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;super-fourth, undecimal semi-augmented fourth, octave reduced 11th harmonic or harmonic 11th, Alphorn-Fa&lt;br /&gt;
         &lt;td&gt;super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,179: Line 1,179:
         &lt;td&gt;628.2743&lt;br /&gt;
         &lt;td&gt;628.2743&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;23-limit superaugmented fourth, octave reduced 23rd harmonic&lt;br /&gt;
         &lt;td&gt;23-limit superaugmented fourth, octave-reduced 23rd harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,203: Line 1,203:
         &lt;td&gt;648.682058&lt;br /&gt;
         &lt;td&gt;648.682058&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;sub-fifth, 11th subharmonic (octave reduced)&lt;br /&gt;
         &lt;td&gt;sub-fifth, octave-reduced 11th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,259: Line 1,259:
         &lt;td&gt;701.955001&lt;br /&gt;
         &lt;td&gt;701.955001&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/perfect%20fifth"&gt;just perfect fifth&lt;/a&gt;, octave reduced 3rd harmonic, diapente&lt;br /&gt;
         &lt;td&gt;&lt;a class="wiki_link" href="/perfect%20fifth"&gt;just perfect fifth&lt;/a&gt;, octave-reduced 3rd harmonic, diapente&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,291: Line 1,291:
         &lt;td&gt;729.219093&lt;br /&gt;
         &lt;td&gt;729.219093&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;super-fifth, wide fifth, diminished sixth, octave reduced 21st subharmonic&lt;br /&gt;
         &lt;td&gt;super-fifth, wide fifth, diminished sixth, octave-reduced 21st subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,307: Line 1,307:
         &lt;td&gt;737.651813&lt;br /&gt;
         &lt;td&gt;737.651813&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;superduper fifth, octave reduced 49th harmonic&lt;br /&gt;
         &lt;td&gt;superduper fifth, octave-reduced 49th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,339: Line 1,339:
         &lt;td&gt;772.627428&lt;br /&gt;
         &lt;td&gt;772.627428&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;pental augmented fifth, classic augmented fifth, otonal minor sixth&lt;br /&gt;
         &lt;td&gt;pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,355: Line 1,355:
         &lt;td&gt;813.686286&lt;br /&gt;
         &lt;td&gt;813.686286&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;minor sixth, octave reduced 5th subharmonic&lt;br /&gt;
         &lt;td&gt;minor sixth, octave-reduced 5th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,363: Line 1,363:
         &lt;td&gt;840.527662&lt;br /&gt;
         &lt;td&gt;840.527662&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;tridecimal neutral sixth&lt;br /&gt;
         &lt;td&gt;tridecimal neutral sixth, octave-reduced 13th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,419: Line 1,419:
         &lt;td&gt;905.865003&lt;br /&gt;
         &lt;td&gt;905.865003&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean major sixth, octave reduced 27th harmonic&lt;br /&gt;
         &lt;td&gt;Pythagorean major sixth, octave-reduced 27th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,459: Line 1,459:
         &lt;td&gt;968.825906&lt;br /&gt;
         &lt;td&gt;968.825906&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;subminor seventh, harmonic seventh, augmented sixth, octave reduced 7th harmonic&lt;br /&gt;
         &lt;td&gt;subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,467: Line 1,467:
         &lt;td&gt;976.537429&lt;br /&gt;
         &lt;td&gt;976.537429&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;marvel five-limit harmonic seventh&lt;br /&gt;
         &lt;td&gt;marvel five-limit harmonic seventh, octave-reduced 225th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,483: Line 1,483:
         &lt;td&gt;996.089998&lt;br /&gt;
         &lt;td&gt;996.089998&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean minor seventh, small minor seventh, octave reduced 9th subharmonic&lt;br /&gt;
         &lt;td&gt;Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,507: Line 1,507:
         &lt;td&gt;1029.5772&lt;br /&gt;
         &lt;td&gt;1029.5772&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;29-limit large minor seventh, octave reduced 29th harmonic&lt;br /&gt;
         &lt;td&gt;29-limit large minor seventh, octave-reduced 29th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,563: Line 1,563:
         &lt;td&gt;1088.268715&lt;br /&gt;
         &lt;td&gt;1088.268715&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;major seventh, just major seventh, octave reduced 15th harmonic&lt;br /&gt;
         &lt;td&gt;major seventh, just major seventh, octave-reduced 15th harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,571: Line 1,571:
         &lt;td&gt;1095.04459&lt;br /&gt;
         &lt;td&gt;1095.04459&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;small septendecimal major seventh, octave reduced 17th subharmonic&lt;br /&gt;
         &lt;td&gt;small septendecimal major seventh, octave-reduced 17th subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,587: Line 1,587:
         &lt;td&gt;1109.775004&lt;br /&gt;
         &lt;td&gt;1109.775004&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Pythagorean major seventh&lt;br /&gt;
         &lt;td&gt;Pythagorean major seventh, octave-reduced 243rd harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,603: Line 1,603:
         &lt;td&gt;1116.884905&lt;br /&gt;
         &lt;td&gt;1116.884905&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;octave reduced 61st harmonic&lt;br /&gt;
         &lt;td&gt;octave-reduced 61st harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,619: Line 1,619:
         &lt;td&gt;1145.0356&lt;br /&gt;
         &lt;td&gt;1145.0356&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;31-limit ultramajor seventh, octave reduced 31st harmonic&lt;br /&gt;
         &lt;td&gt;31-limit ultramajor seventh, octave-reduced 31st harmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 1,627: Line 1,627:
         &lt;td&gt;1146.727057&lt;br /&gt;
         &lt;td&gt;1146.727057&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;octave reduced 33rd subharmonic&lt;br /&gt;
         &lt;td&gt;octave-reduced 33rd subharmonic&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;