Gallery of just intervals: Difference between revisions

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m →Gallery of Just Intervals: simplified markup
Formatting. Some names need not be capital. All monzos parenthesised (since they are simply not names)
Line 32: Line 32:
| 0
| 0
| w1, wa unison
| w1, wa unison
|P1
| P1
| unity, perfect prime, Tonic
| unity, perfect prime, Tonic
|-
|-
Line 38: Line 38:
| 1.953721
| 1.953721
| Ly-2, layo comma
| Ly-2, layo comma
|d-2<sup>5</sup>
| d-2<sup>5</sup>
| schisma, {{Monzo|-15, 8, 1}}
| schisma ({{Monzo|-15, 8, 1}})
|-
|-
| [[225/224]]
| [[225/224]]
| 7.711523
| 7.711523
| ryy-2, ruyoyo comma
| ryy-2, ruyoyo comma
|d-2<sup>25</sup><sub>7</sub>
| d-2<sup>25</sup><sub>7</sub>
| septimal subcomma, marvel comma, {{Monzo|-5, 2, 2, -1}}
| septimal subcomma, marvel comma ({{Monzo|-5, 2, 2, -1}})
|-
|-
| [[126/125]]
| [[126/125]]
| 13.794767
| 13.794767
| zg<sup>3</sup>2, zotrigu comma
| zg<sup>3</sup>2, zotrigu comma
|d2<sup>7</sup><sub>125</sub>
| d2<sup>7</sup><sub>125</sub>
| septimal semicomma, starling comma, {{Monzo|1, 2, -3, 1}}
| septimal semicomma, starling comma ({{Monzo|1, 2, -3, 1}})
|-
|-
| [[100/99]]
| [[100/99]]
| 17.399484
| 17.399484
| 1uyy1, luyoyo comma
| 1uyy1, luyoyo comma
|A1<sup>25</sup><sub>11</sub>
| A1<sup>25</sup><sub>11</sub>
| Ptolemy's comma
| Ptolemy's comma
|-
|-
Line 62: Line 62:
| 17.576131
| 17.576131
| 1orr-2, loruru comma
| 1orr-2, loruru comma
|m-2<sup>11</sup><sub>49</sub>
| m-2<sup>11</sup><sub>49</sub>
| Mothwellsma
| Mothwellsma
|-
|-
Line 68: Line 68:
| 19.552569
| 19.552569
| sgg2, sagugu comma
| sgg2, sagugu comma
|d2<sub>25</sub>
| d2<sub>25</sub>
| Diaschisma, {{Monzo|11, -4, -2}}
| diaschisma ({{Monzo|11, -4, -2}})
|-
|-
| [[81/80]]
| [[81/80]]
| 21.506286
| 21.506286
| g1, gu comma
| g1, gu comma
|P1<sub>5</sub>
| P1<sub>5</sub>
| Meantone comma, Syntonic comma, Didymus comma
| meantone comma, syntonic comma, Didymus comma
|-
|-
| [[531441/524288]]
| [[531441/524288]]
| 23.460010
| 23.460010
| LLw-2, wa comma
| LLw-2, wa comma
|d-2
| d-2
| Pythagorean comma, Ditonic comma, {{Monzo|-19, 12}}
| Pythagorean comma, ditonic comma ({{Monzo|-19, 12}})
|-
|-
| [[66/65]]
| [[66/65]]
| 26.431568
| 26.431568
| 3u1og1, thulogu comma
| 3u1og1, thulogu comma
|P1<sup>11</sup><sub>65</sub>
| P1<sup>11</sup><sub>65</sub>
| Winmeanma
| winmeanma
|-
|-
| [[65/64]]
| [[65/64]]
| 26.841376
| 26.841376
| 3oy1, thoyo comma
| 3oy1, thoyo comma
|P1<sup>65</sup>
| P1<sup>65</sup>
| Wilsorma, 13th-partial chroma
| wilsorma, 13th-partial chroma
|-
|-
| [[64/63]]
| [[64/63]]
| 27.264092
| 27.264092
| r1, ru comma
| r1, ru comma
|P1<sub>7</sub>
| P1<sub>7</sub>
| Septimal comma, Archytas' comma
| septimal comma, Archytas' comma
|-
|-
| [[3125/3072]]
| [[3125/3072]]
| 29.613568
| 29.613568
| Ly<span style="vertical-align: super;">5</span>-2, laquinyo comma
| Ly<span style="vertical-align: super;">5</span>-2, laquinyo comma
|dd-2<sup>3125</sup>
| dd-2<sup>3125</sup>
| Magic comma, small diesis, {{Monzo|-10, -1, 5}}
| magic comma, small diesis ({{Monzo|-10, -1, 5}})
|-
|-
| [[50/49]]
| [[50/49]]
| 34.975615
| 34.975615
| rryy-2, biruyo comma
| rryy-2, biruyo comma
|d-2<sup>25</sup><sub>49</sub>
| d-2<sup>25</sup><sub>49</sub>
| septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
| septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
|-
|-
Line 116: Line 116:
| 35.696812
| 35.696812
| zz2, zozo comma
| zz2, zozo comma
|m2<sup>49</sup>
| m2<sup>49</sup>
| large septimal diesis, slendro diesis
| large septimal diesis, slendro diesis
|-
|-
Line 122: Line 122:
| 38.905773
| 38.905773
| 1uy1, luyo comma
| 1uy1, luyo comma
|A1<sup>5</sup><sub>11</sub>
| A1<sup>5</sup><sub>11</sub>
| undecimal 1/5th tone
| undecimal 1/5th tone
|-
|-
Line 128: Line 128:
| 41.058858
| 41.058858
| g<span style="vertical-align: super;">3</span>2, trigu comma
| g<span style="vertical-align: super;">3</span>2, trigu comma
|d2<sub>125</sub>
| d2<sub>125</sub>
| Diesis, minor diesis, augmented comma, enharmonic comma, {{Monzo|7, 0, -3}}
| diesis, minor diesis, augmented comma, enharmonic comma ({{Monzo|7, 0, -3}})
|-
|-
| [[525/512]]
| [[525/512]]
| 43.408335
| 43.408335
| Lzyy1, lazoyoyo comma
| Lzyy1, lazoyoyo comma
|A1<sup>525</sup>
| A1<sup>525</sup>
| Avicenna's enharmonic diesis, {{Monzo|-9, 1, 2, 1}}
| Avicenna's enharmonic diesis ({{Monzo|-9, 1, 2, 1}})
|-
|-
|[[1053/1024]]
| [[1053/1024]]
|48.347665
| 48.347665
|L3o1, latho comma
| L3o1, latho comma
|P1<sup>13</sup>
| P1<sup>13</sup>
|tridecimal comma
| tridecimal comma
|-
|-
| [[36/35]]
| [[36/35]]
| 48.770381
| 48.770381
| rg1, rugu comma
| rg1, rugu comma
|P1<sub>35</sub>
| P1<sub>35</sub>
| double comma, septimal quarter tone
| double comma, septimal quarter tone
|-
|-
Line 152: Line 152:
| 49.166137
| 49.166137
| y<span style="vertical-align: super;">3</span>1, triyo comma
| y<span style="vertical-align: super;">3</span>1, triyo comma
|A1<sup>125</sup>
| A1<sup>125</sup>
| Porcupine comma, {{Monzo|1, -5, 3}}
| porcupine comma ({{Monzo|1, -5, 3}})
|-
|-
| [[59049/57344]]
| [[59049/57344]]
| 50.724102
| 50.724102
| Lr-2, laru comma
| Lr-2, laru comma
|d-2<sub>7</sub>
| d-2<sub>7</sub>
| Harrison's comma, {{Monzo|-13, 10, 0, -1}}
| Harrison's comma ({{Monzo|-13, 10, 0, -1}})
|-
|-
| [[100/97]]
| [[100/97]]
| 52.732017
| 52.732017
| 97uyy1, ninety-suyoyo unison
| 97uyy1, ninety-suyoyo unison
|A1<sup>25</sup><sub>97</sub>
| A1<sup>25</sup><sub>97</sub>
| shrutar quarter tone
| shrutar quarter tone
|-
|-
Line 170: Line 170:
| 53.272943
| 53.272943
| 1o1, ilo unison
| 1o1, ilo unison
|P1<sup>11</sup>
| P1<sup>11</sup>
| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, [[octave-reduced]] 33rd [[harmonic]]
| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, [[octave-reduced]] 33rd [[harmonic]]
|-
|-
Line 176: Line 176:
| 62.565148
| 62.565148
| g<span style="vertical-align: super;">4</span>2, quadgu 2nd
| g<span style="vertical-align: super;">4</span>2, quadgu 2nd
|d2<sub>625</sub>
| d2<sub>625</sub>
| diminished comma, major diesis, {{Monzo|8, 4, -4}}
| diminished comma, major diesis ({{Monzo|8, 4, -4}})
|-
|-
| [[28/27]]
| [[28/27]]
| 62.960904
| 62.960904
| z2, zo 2nd
| z2, zo 2nd
|m2<sup>7</sup>
| m2<sup>7</sup>
| septimal chroma, small septimal chromatic semitone, subminor second, septimal minor second
| septimal chroma, small septimal chromatic semitone, subminor second, septimal minor second
|-
|-
Line 188: Line 188:
| 65.337341  
| 65.337341  
| 3u1, thu unison
| 3u1, thu unison
|A1<sub>13</sub>
| A1<sub>13</sub>
| small tridecimal third tone
| small tridecimal third tone
|-
|-
Line 194: Line 194:
| 67.900234
| 67.900234
| 3ogg2, thogugu 2nd
| 3ogg2, thogugu 2nd
|d2<sup>13</sup><sub>25</sub>
| d2<sup>13</sup><sub>25</sub>
| large tridecimal third tone
| large tridecimal third tone
|-
|-
Line 200: Line 200:
| 70.672427
| 70.672427
| yy1, yoyo unison
| yy1, yoyo unison
|A1<sup>25</sup>
| A1<sup>25</sup>
| chroma, classic chromatic semitone, Zarlinian semitone
| chroma, classic chromatic semitone, Zarlinian semitone
|-
|-
Line 212: Line 212:
| 78.114034
| 78.114034
| 17o3ug2, sothugu 2nd
| 17o3ug2, sothugu 2nd
|m2<sup>17</sup><sub>65</sub>
| m2<sup>17</sup><sub>65</sub>
| valentine semitone
| valentine semitone
|-
|-
Line 218: Line 218:
| 80.537035
| 80.537035
| 1or1, loru unison
| 1or1, loru unison
|P1<sup>11</sup><sub>7</sub>
| P1<sup>11</sup><sub>7</sub>
| undecimal minor semitone
| undecimal minor semitone
|-
|-
Line 224: Line 224:
| 83.115195
| 83.115195
| 61u2, sixty-wu 2nd
| 61u2, sixty-wu 2nd
|m2<sub>61</sub>
| m2<sub>61</sub>
| harry minor semitone
| harry minor semitone
|-
|-
Line 230: Line 230:
| 84.467193
| 84.467193
| zg2, zogu 2nd
| zg2, zogu 2nd
|m2<sup>7</sup><sub>5</sub>
| m2<sup>7</sup><sub>5</sub>
| minor semitone, large septimal chromatic semitone
| minor semitone, large septimal chromatic semitone
|-
|-
Line 236: Line 236:
| 88.800698
| 88.800698
| 19uy1, nuyo unison
| 19uy1, nuyo unison
|A1<sup>5</sup><sub>19</sub>
| A1<sup>5</sup><sub>19</sub>
| small undevicesimal limma, small undevicesimal semitone
| small undevicesimal limma, small undevicesimal semitone
|-
|-
Line 242: Line 242:
| 90.224996
| 90.224996
| sw2, small wa 2nd
| sw2, small wa 2nd
|m2
| m2
| Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second, {{Monzo|8, -5}}
| Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ({{Monzo|8, -5}})
|-
|-
| [[135/128]]
| [[135/128]]
| 92.178716
| 92.178716
| Ly1, layo unison
| Ly1, layo unison
|A1<sup>5</sup>
| A1<sup>5</sup>
| major limma, {{Monzo|-7, 3, 1}}
| major limma ({{Monzo|-7, 3, 1}})
|-
|-
|[[19/18]]
| [[19/18]]
|93.603014
| 93.603014
|19o2, ino 2nd
| 19o2, ino 2nd
|m2<sup>19</sup>
| m2<sup>19</sup>
|large undevicesimal limma, large undevicesimal semitone
| large undevicesimal limma, large undevicesimal semitone
|-
|-
| [[18/17]]
| [[18/17]]
| 98.954592
| 98.954592
| 17u1, su unison
| 17u1, su unison
|A1<sub>17</sub>
| A1<sub>17</sub>
| small septendecimal semitone, Arabic lute index finger
| small septendecimal semitone, Arabic lute index finger
|-
|-
Line 266: Line 266:
| 104.955410
| 104.955410
| 17o2, iso 2nd
| 17o2, iso 2nd
|m2<sup>17</sup>
| m2<sup>17</sup>
| large septendecimal semitone, octave-reduced 17th harmonic
| large septendecimal semitone, octave-reduced 17th harmonic
|-
|-
Line 272: Line 272:
| 111.731285
| 111.731285
| g2, gu 2nd
| g2, gu 2nd
|m2<sub>5</sub>
| m2<sub>5</sub>
| diatonic semitone, classic minor second, octave-reduced 15th subharmonic
| diatonic semitone, classic minor second, octave-reduced 15th subharmonic
|-
|-
Line 278: Line 278:
| 113.685006
| 113.685006
| Lw1, large wa unison
| Lw1, large wa unison
|A1
| A1
| apotome, Pythagorean chromatic semitone, Pythagorean augmented unison, {{Monzo|-11, 7}}
| apotome, Pythagorean chromatic semitone, Pythagorean augmented unison ({{Monzo|-11, 7}})
|-
|-
| [[77/72]]
| [[77/72]]
Line 290: Line 290:
| 119.442808
| 119.442808
| ry1, ruyo unison
| ry1, ruyo unison
|A1<sup>5</sup><sub>7</sub>
| A1<sup>5</sup><sub>7</sub>
| septimal diatonic semitone
| septimal diatonic semitone
|-
|-
Line 296: Line 296:
| 128.298245
| 128.298245
| 3uz2, thuzo 2nd
| 3uz2, thuzo 2nd
|M2<sup>7</sup><sub>13</sub>
| M2<sup>7</sup><sub>13</sub>
| tridecimal 2/3-tone, trienthird, tridecimal supraminor second
| tridecimal 2/3-tone, trienthird, tridecimal supraminor second
|-
|-
Line 302: Line 302:
| 133.237575
| 133.237575
| gg2, gugu 2nd
| gg2, gugu 2nd
|m2<sub>25</sub>
| m2<sub>25</sub>
| large limma
| large limma
|-
|-
Line 308: Line 308:
| 138.572661
| 138.572661
| 3o2, tho 2nd
| 3o2, tho 2nd
|m2<sup>13</sup>
| m2<sup>13</sup>
| tridecimal subtone, tridecimal 2/3-tone
| tridecimal subtone, tridecimal 2/3-tone
|-
|-
Line 314: Line 314:
| 140.949098
| 140.949098
| Lr1, large ru unison
| Lr1, large ru unison
|A1<sub>7</sub>
| A1<sub>7</sub>
| septimal subtone, {{Monzo|-5, 5, 0, -1}}
| septimal subtone ({{Monzo|-5, 5, 0, -1}})
|-
|-
| [[88/81]]
| [[88/81]]
Line 332: Line 332:
| 150.637059
| 150.637059
| 1u2, lu 2nd
| 1u2, lu 2nd
|M2<sub>11</sub>
| M2<sub>11</sub>
| small undecimal neutral second, 3/4-tone
| small undecimal neutral second, 3/4-tone
|-
|-
Line 338: Line 338:
| 155.139620
| 155.139620
| zy2, zoyo 2nd
| zy2, zoyo 2nd
|M2<sup>35</sup>
| M2<sup>35</sup>
| septimal neutral second
| septimal neutral second
|-
|-
Line 350: Line 350:
| 165.004228
| 165.004228
| 1og2, logu 2nd
| 1og2, logu 2nd
|m2<sup>11</sup><sub>5</sub>
| m2<sup>11</sup><sub>5</sub>
| large undecimal neutral second, 4/5-tone, Ptolemy's second
| large undecimal neutral second, 4/5-tone, Ptolemy's second
|-
|-
Line 362: Line 362:
| 182.403712
| 182.403712
| y2, yo 2nd
| y2, yo 2nd
|M2<sup>5</sup>
| M2<sup>5</sup>
| minor whole tone
| minor whole tone
|-
|-
Line 374: Line 374:
| 188.486956
| 188.486956
| szzg<sup>4</sup>4, small bizogugu 4th
| szzg<sup>4</sup>4, small bizogugu 4th
|ddd4<sup>49</sup><sub>625</sub>
| ddd4<sup>49</sup><sub>625</sub>
| marvelous second, marvelous (whole) tone
| marvelous second, marvelous (whole) tone
|-
|-
Line 404: Line 404:
| 203.910002
| 203.910002
| w2, wa 2nd
| w2, wa 2nd
|M2
| M2
| major whole tone, Pythagorean tone, octave-reduced 9th harmonic
| major whole tone, Pythagorean tone, octave-reduced 9th harmonic
|-
|-
Line 416: Line 416:
| 231.174094
| 231.174094
| r2, ru 2nd
| r2, ru 2nd
|M2<sub>7</sub>
| M2<sub>7</sub>
| supermajor second, septimal whole tone, octave-reduced 7th subharmonic
| supermajor second, septimal whole tone, octave-reduced 7th subharmonic
|-
|-
Line 434: Line 434:
| 247.741053
| 247.741053
| 3uy2, thuyo 2nd
| 3uy2, thuyo 2nd
|A2<sup>5</sup><sub>13</sub>
| A2<sup>5</sup><sub>13</sub>
| semifourth, tridecimal ultramajor second, tridecimal inframinor third
| semifourth, tridecimal ultramajor second, tridecimal inframinor third
|-
|-
|97/84
| 97/84
|249.114503
| 249.114503
|97or2, ninety-soru 2nd
| 97or2, ninety-soru 2nd
|M2<sup>97</sup><sub>7</sub>
| M2<sup>97</sup><sub>7</sub>
|homothetic semifourth
| homothetic semifourth
|-
|-
|[[81/70]]
| [[81/70]]
|252.268038
| 252.268038
|rg2, rugu 2nd
| rg2, rugu 2nd
|M2<sub>35</sub>
| M2<sub>35</sub>
|septimal semiaugmented second, septimal ultramajor second
| septimal semiaugmented second, septimal ultramajor second
|-
|-
| [[22/19]]
| [[22/19]]
| 253.804926
| 253.804926
| 19u1o2, nulo 2nd
| 19u1o2, nulo 2nd
|M2<sup>11</sup><sub>19</sub>
| M2<sup>11</sup><sub>19</sub>
| minimal minor third, godzilla third
| minimal minor third, godzilla third
|-
|-
Line 458: Line 458:
| 262.368344
| 262.368344
| 1ug3, lugu 3rd
| 1ug3, lugu 3rd
|m3<sub>55</sub>
| m3<sub>55</sub>
| keenanismic subminor third, octave-reduced 55th subharmonic
| keenanismic subminor third, octave-reduced 55th subharmonic
|-
|-
Line 464: Line 464:
| 266.870906
| 266.870906
| z3, zo 3rd
| z3, zo 3rd
|m3<sup>7</sup>
| m3<sup>7</sup>
| subminor third, septimal minor third
| subminor third, septimal minor third
|-
|-
Line 482: Line 482:
| 274.582429
| 274.582429
| yy2, yoyo 2nd
| yy2, yoyo 2nd
|A2<sup>25</sup>
| A2<sup>25</sup>
| classic augmented second
| classic augmented second
|-
|-
Line 494: Line 494:
| 289.209179
| 289.209179
| 3o1u3, tholu 3rd
| 3o1u3, tholu 3rd
|m3<sup>13</sup><sub>11</sub>
| m3<sup>13</sup><sub>11</sub>
| tridecimal minor third
| tridecimal minor third
|-
|-
Line 500: Line 500:
| 294.134997
| 294.134997
| w3, wa 3rd
| w3, wa 3rd
|m3
| m3
| Pythagorean minor third, octave-reduced 27th subharmonic
| Pythagorean minor third, octave-reduced 27th subharmonic
|-
|-
Line 506: Line 506:
| 297.513016
| 297.513016
| 19o3, ino 3rd
| 19o3, ino 3rd
|m3<sup>19</sup>
| m3<sup>19</sup>
| otonal minor third, octave-reduced 19th harmonic
| otonal minor third, octave-reduced 19th harmonic
|-
|-
Line 512: Line 512:
| 301.846520
| 301.846520
| ryy2, ruyoyo 2nd
| ryy2, ruyoyo 2nd
|A2<sup>25</sup><sub>7</sub>
| A2<sup>25</sup><sub>7</sub>
| quasi-tempered minor third
| quasi-tempered minor third
|-
|-
Line 524: Line 524:
| 315.641287
| 315.641287
| g3, gu 3rd
| g3, gu 3rd
|m3<sub>5</sub>
| m3<sub>5</sub>
| minor third, pental minor third
| minor third, pental minor third
|-
|-
Line 537: Line 537:
| ry2, ruyo 2nd
| ry2, ruyo 2nd
|
|
| large septimal minor third, marvelous minor third, {{Monzo|-4, 3, 1, -1}}
| large septimal minor third, marvelous minor third ({{Monzo|-4, 3, 1, -1}})
|-
|-
| [[35/29]]
| [[35/29]]
Line 547: Line 547:
| [[23/19]]
| [[23/19]]
| 330.761331
| 330.761331
|23o19u3, twenty-thonu 3rd
| 23o19u3, twenty-thonu 3rd
|
|
| vicesimotertial supraminor third
| vicesimotertial supraminor third
Line 563: Line 563:
| amity supraminor third
| amity supraminor third
|-
|-
|[[39/32]]
| [[39/32]]
|342.482663
| 342.482663
|3o3, tho 3rd
| 3o3, tho 3rd
|m3<sup>13</sup>
| m3<sup>13</sup>
|lesser tridecimal neutral third, octave-reduced 39th harmonic
| lesser tridecimal neutral third, octave-reduced 39th harmonic
|-
|-
| [[625/512]]
| [[625/512]]
| 345.254855
| 345.254855
| Ly<span style="vertical-align: super;">4</span>2, large quadyo 2nd
| Ly<sup>4</sup>2, large quadyo 2nd
|AA2<sup>625</sup>
| AA2<sup>625</sup>
| 5-limit neutral third, {{Monzo|-9, 0, 4}}
| 5-limit neutral third ({{Monzo|-9, 0, 4}})
|-
|-
| [[11/9]]
| [[11/9]]
| 347.407941
| 347.407941
| 1o3, ilo 3rd
| 1o3, ilo 3rd
|m3<sup>11</sup>
| m3<sup>11</sup>
| undecimal neutral third
| undecimal neutral third
|-
|-
Line 596: Line 596:
| 354.547060
| 354.547060
| 1u3, lu 3rd
| 1u3, lu 3rd
|M3<sub>11</sub>
| M3<sub>11</sub>
| rastmic neutral third
| rastmic neutral third
|-
|-
Line 602: Line 602:
| 359.472338
| 359.472338
| 3u3, thu 3rd
| 3u3, thu 3rd
|M3<sub>13</sub>
| M3<sub>13</sub>
| greater tridecimal neutral third, octave reduced 13subharmonic
| greater tridecimal neutral third, octave reduced 13subharmonic
|-
|-
Line 644: Line 644:
| 386.313714
| 386.313714
| y3, yo 3rd
| y3, yo 3rd
|M3<sup>5</sup>
| M3<sup>5</sup>
| major third, octave-reduced 5th harmonic, pental major third
| major third, octave-reduced 5th harmonic, pental major third
|-
|-
|[[161/128]]
| [[161/128]]
|397.100254
| 397.100254
|23oz4
| 23oz4
|M3<sup>7,23</sup>
| M3<sup>7,23</sup>
|just/Pythagorean major third meantone, octave-reduced 161th harmonic
| just/Pythagorean major third meantone, octave-reduced 161th harmonic
|-
|-
| [[63/50]]
| [[63/50]]
| 400.108480
| 400.108480
| zgg4, zogugu 4th
| zgg4, zogugu 4th
|d4<sup>7</sup><sub>25</sub>
| d4<sup>7</sup><sub>25</sub>
| quasi-tempered major third
| quasi-tempered major third
|-
|-
Line 662: Line 662:
| 407.820003
| 407.820003
| Lw3, large wa 3rd
| Lw3, large wa 3rd
|M3
| M3
| Pythagorean major third, octave-reduced 81st harmonic
| Pythagorean major third, octave-reduced 81st harmonic
|-
|-
|[[33/26]]
| [[33/26]]
|412.745281
| 412.745281
|3u1o3, thulo 3rd
| 3u1o3, thulo 3rd
|M3<sup>11</sup><sub>13</sub>
| M3<sup>11</sup><sub>13</sub>
|tridecimal major third
| tridecimal major third
|-
|-
| [[80/63]]
| [[80/63]]
Line 680: Line 680:
| 417.507964
| 417.507964
| 1uz4, luzo 4th
| 1uz4, luzo 4th
|P4<sup>7</sup><sub>11</sub>
| P4<sup>7</sup><sub>11</sub>
| undecimal major third, undecimal diminished fourth
| undecimal major third, undecimal diminished fourth
|-
|-
Line 698: Line 698:
| 435.084095
| 435.084095
| r3, ru 3rd
| r3, ru 3rd
|M3<sub>7</sub>
| M3<sub>7</sub>
| supermajor third, septimal major third
| supermajor third, septimal major third
|-
|-
Line 722: Line 722:
| 454.213948
| 454.213948
| 3og4, thogu 4th
| 3og4, thogu 4th
|d4<sup>13</sup><sub>5</sub>
| d4<sup>13</sup><sub>5</sub>
| Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramaor third
| Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramaor third
|-
|-
Line 728: Line 728:
| 462.348187
| 462.348187
| rr3, ruru 3rd
| rr3, ruru 3rd
|M3<sub>49</sub>
| M3<sub>49</sub>
| septatonic major third
| septatonic major third
|-
|-
Line 740: Line 740:
| 470.780907
| 470.780907
| z4, zo 4th
| z4, zo 4th
|P4<sup>7</sup>
| P4<sup>7</sup>
| sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
| sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
|-
|-
Line 746: Line 746:
| 480.645516
| 480.645516
| 1ogg4, logugu 4th
| 1ogg4, logugu 4th
|d4<sup>11</sup><sub>25</sub>
| d4<sup>11</sup><sub>25</sub>
| "5-EDO"-esque fourth
| "5-EDO"-esque fourth
|-
|-
Line 753: Line 753:
| 3o1u4, tholu 4th
| 3o1u4, tholu 4th
|
|
| tridecimal gentle fourth, {{Monzo|-3, 2, 0, 0, -1, 1}}
| tridecimal gentle fourth ({{Monzo|-3, 2, 0, 0, -1, 1}})
|-
|-
| [[4/3]]
| [[4/3]]
| 498.044999
| 498.044999
| w4, wa 4th
| w4, wa 4th
|P4
| P4
| just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
| just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
|-
|-
Line 767: Line 767:
| marvelous fourth
| marvelous fourth
|-
|-
|[[980/729]]
| [[980/729]]
|512.235522
| 512.235522
|zzy5, zozoyo 5th
| zzy5, zozoyo 5th
|d5<sup>245</sup>
| d5<sup>245</sup>
|sensamagic fourth, septimal sesquidiminished grave fifth
| sensamagic fourth, septimal sesquidiminished grave fifth
|-
|-
| [[27/20]]
| [[27/20]]
| 519.551289
| 519.551289
| g4, gu 4th
| g4, gu 4th
|P4<sub>5</sub>
| P4<sub>5</sub>
| acute fourth
| acute fourth
|-
|-
Line 788: Line 788:
| 533.741811
| 533.741811
| zz5, zozo 5th
| zz5, zozo 5th
|d5<sup>49</sup>
| d5<sup>49</sup>
| Arabic lute acute fourth
| Arabic lute acute fourth
|-
|-
Line 794: Line 794:
| 536.950772
| 536.950772
| 1uy4, luyo 4th
| 1uy4, luyo 4th
|A4<sup>5</sup><sub>11</sub>
| A4<sup>5</sup><sub>11</sub>
| undecimal augmented fourth, subaugmented fourth
| undecimal augmented fourth, subaugmented fourth
|-
|-
Line 806: Line 806:
| 551.317942
| 551.317942
| 1o4, ilo 4th
| 1o4, ilo 4th
|P4<sup>11</sup>
| P4<sup>11</sup>
| super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
| super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
|-
|-
Line 812: Line 812:
| 563.382340
| 563.382340
| 3u4, thu 4th
| 3u4, thu 4th
|A4<sup>13</sup>
| A4<sup>13</sup>
| tridecimal augmented fourth
| tridecimal augmented fourth
|-
|-
Line 818: Line 818:
| 568.717426
| 568.717426
| yy4, yoyo 4th
| yy4, yoyo 4th
|A4<sup>25</sup>
| A4<sup>25</sup>
| classic augmented fourth, pental augmented fourth, {{Monzo|-1 -2 2}}
| classic augmented fourth, pental augmented fourth ({{Monzo|-1 -2 2}})
|-
|-
| [[88/63]]
| [[88/63]]
Line 830: Line 830:
| 582.512193
| 582.512193
| zg5, zogu 5th
| zg5, zogu 5th
|d5<sup>7</sup><sub>5</sub>
| d5<sup>7</sup><sub>5</sub>
| augmented fourth, septimal tritone, Huygen's tritone
| augmented fourth, septimal tritone, Huygen's tritone
|-
|-
Line 836: Line 836:
| 590.223716
| 590.223716
| y4, yo 4th
| y4, yo 4th
|A4<sup>5</sup>
| A4<sup>5</sup>
| smaller pental tritone, diatonic tritone, {{Monzo|-5 2 1}}
| smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}})
|-
|-
| [[108/77]]
| [[108/77]]
Line 843: Line 843:
| 1ur4, luru 4th
| 1ur4, luru 4th
|
|
| swetismic augmented fourth, {{Monzo|2, 3, 0, -1, -1}}
| swetismic augmented fourth ({{Monzo|2, 3, 0, -1, -1}})
|-
|-
| [[24/17]]
| [[24/17]]
| 596.999591
| 596.999591
| 17u4, su 4th
| 17u4, su 4th
|A4<sub>17</sub>
| A4<sub>17</sub>
| smaller septendecimal tritone
| smaller septendecimal tritone
|-
|-
|99/70
| 99/70
|600.088324
| 600.088324
| 1org4, lorugu 4th
| 1org4, lorugu 4th
|P4<sup>11</sup><sub>35</sub>
| P4<sup>11</sup><sub>35</sub>
|homothetic quasi-tempered tritone
| homothetic quasi-tempered tritone
|-
|-
| [[17/12]]
| [[17/12]]
| 603.000409
| 603.000409
| 17o5, iso 5th
| 17o5, iso 5th
|d5<sup>17</sup>
| d5<sup>17</sup>
| larger septendecimal tritone
| larger septendecimal tritone
|-
|-
Line 866: Line 866:
| 609.776284
| 609.776284
| g5, gu 5th
| g5, gu 5th
|d5<sub>5</sub>
| d5<sub>5</sub>
| larger pental tritone, diatonic tritone, {{Monzo|6 -2 -1}}
| larger pental tritone, diatonic tritone ({{Monzo|6 -2 -1}})
|-
|-
| [[10/7]]
| [[10/7]]
| 617.487807
| 617.487807
| ry4, ruyo 4th
| ry4, ruyo 4th
|A4<sup>5</sup><sub>7</sub>
| A4<sup>5</sup><sub>7</sub>
| diminished fifth, Euler's tritone, superaugmented fourth
| diminished fifth, Euler's tritone, superaugmented fourth
|-
|-
Line 878: Line 878:
| 628.274347
| 628.274347
| 23o5, twenty-tho 5th
| 23o5, twenty-tho 5th
|A4<sup>23</sup>
| A4<sup>23</sup>
| 23-limit superaugmented fourth, octave-reduced 23rd harmonic
| 23-limit superaugmented fourth, octave-reduced 23rd harmonic
|-
|-
Line 884: Line 884:
| 631.282574
| 631.282574
| gg5, gugu 5th
| gg5, gugu 5th
|d5<sub>25</sub>
| d5<sub>25</sub>
| pental diminished fifth, classic diminshed fifth, {{Monzo|2 2 -2}}
| pental diminished fifth, classic diminshed fifth ({{Monzo|2 2 -2}})
|-
|-
| [[13/9]]
| [[13/9]]
| 636.617660
| 636.617660
| 3o5, tho 5th
| 3o5, tho 5th
|d5<sub>13</sub>
| d5<sub>13</sub>
| tridecimal diminished fifth
| tridecimal diminished fifth
|-
|-
Line 896: Line 896:
| 648.682058
| 648.682058
| 1u5, lu 5th
| 1u5, lu 5th
|P5<sub>11</sub>
| P5<sub>11</sub>
| sub-fifth, octave-reduced 11th subharmonic
| sub-fifth, octave-reduced 11th subharmonic
|-
|-
Line 908: Line 908:
| 663.049228
| 663.049228
| 1og5, logu 5th
| 1og5, logu 5th
|d5<sup>11</sup><sub>5</sub>
| d5<sup>11</sup><sub>5</sub>
| undecimal diminished fifth, semidiminished fifth
| undecimal diminished fifth, semidiminished fifth
|-
|-
Line 932: Line 932:
| 680.448711
| 680.448711
| y5, yo 5th
| y5, yo 5th
|P5<sup>5</sup>
| P5<sup>5</sup>
| grave fifth
| grave fifth
|-
|-
|[[729/490]]
| [[729/490]]
|687.764478
| 687.764478
|rrg5, rurugu 4th
| rrg5, rurugu 4th
|A4<sub>245</sub>
| A4<sub>245</sub>
|sensamagic fifth, septimal sesquiaugmented acute fourth
| sensamagic fifth, septimal sesquiaugmented acute fourth
|-
|-
| [[112/75]]
| [[112/75]]
Line 950: Line 950:
| 700.001280
| 700.001280
| sg6, sagu 6th
| sg6, sagu 6th
|d6<sub>5</sub>
| d6<sub>5</sub>
| Kirnberger's fifth ("[[12edo|12-EDO]]"-esque fifth)
| Kirnberger's fifth ("[[12edo|12-EDO]]"-esque fifth)
|-
|-
Line 956: Line 956:
| 701.955001
| 701.955001
| w5, wa 5th
| w5, wa 5th
|P5
| P5
| [[just perfect fifth]], octave-reduced 3rd harmonic, diapente
| [[just perfect fifth]], octave-reduced 3rd harmonic, diapente
|-
|-
Line 963: Line 963:
| 3o1uuz6, tholuluzo 6th
| 3o1uuz6, tholuluzo 6th
|
|
| tridecimal gentle fifth, {{Monzo|1, 0, 0, 1, -2, 1}}
| tridecimal gentle fifth ({{Monzo|1, 0, 0, 1, -2, 1}})
|-
|-
| 176/117
| 176/117
Line 969: Line 969:
| 3u1o5, thulo 5th
| 3u1o5, thulo 5th
|
|
| tridecimal gentle fifth, {{Monzo|4, -2, 0, 0, 1, -1}}
| tridecimal gentle fifth ({{Monzo|4, -2, 0, 0, 1, -1}})
|-
|-
| [[50/33]]
| [[50/33]]
Line 980: Line 980:
| 729.219093
| 729.219093
| r5, ru 5th
| r5, ru 5th
|P5<sub>7</sub>
| P5<sub>7</sub>
| super-fifth, wide fifth, octave-reduced 21st subharmonic
| super-fifth, wide fifth, octave-reduced 21st subharmonic
|-
|-
Line 992: Line 992:
| 737.651813
| 737.651813
| zz6, zozo 6th
| zz6, zozo 6th
|m6<sup>49</sup>
| m6<sup>49</sup>
| superduper fifth, octave-reduced 49th harmonic
| superduper fifth, octave-reduced 49th harmonic
|-
|-
Line 998: Line 998:
| 745.786052
| 745.786052
| 3uy5, thuyo 5th
| 3uy5, thuyo 5th
|A5<sup>5</sup><sub>13</sub>
| A5<sup>5</sup><sub>13</sub>
| Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth
| Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth
|-
|-
Line 1,010: Line 1,010:
| 764.915905
| 764.915905
| z6, zo 6th
| z6, zo 6th
|m6<sup>7</sup>
| m6<sup>7</sup>
| subminor sixth, septimal minor sixth
| subminor sixth, septimal minor sixth
|-
|-
Line 1,022: Line 1,022:
| 782.492036
| 782.492036
| 1or5, loru 5th
| 1or5, loru 5th
|P5<sup>11</sup><sub>7</sub>
| P5<sup>11</sup><sub>7</sub>
| undecimal subminor sixth, undecimal augmented fifth
| undecimal subminor sixth, undecimal augmented fifth
|-
|-
Line 1,028: Line 1,028:
| 786.422194
| 786.422194
| zg6, zogu 6th
| zg6, zogu 6th
|m6<sup>7</sup><sub>5</sub>
| m6<sup>7</sup><sub>5</sub>
|  
|  
|-
|-
|[[52/33]]
| [[52/33]]
|787.254719
| 787.254719
|3o1u6, tholu 6th
| 3o1u6, tholu 6th
|m6<sup>13</sup><sub>11</sub>
| m6<sup>13</sup><sub>11</sub>
|tridecimal minor sixth
| tridecimal minor sixth
|-
|-
| [[128/81]]
| [[128/81]]
| 792.179997
| 792.179997
| sw6, small wa 6th
| sw6, small wa 6th
|m6
| m6
| Pythagorean minor sixth, octave-reduced 81st subharmonic
| Pythagorean minor sixth, octave-reduced 81st subharmonic
|-
|-
Line 1,046: Line 1,046:
| 813.686286
| 813.686286
| g6, gu 6th
| g6, gu 6th
|m6<sub>5</sub>
| m6<sub>5</sub>
| minor sixth, octave-reduced 5th subharmonic
| minor sixth, octave-reduced 5th subharmonic
|-
|-
Line 1,053: Line 1,053:
| 59oz6, fifty-nozo 6th
| 59oz6, fifty-nozo 6th
|
|
| octave-reduced 413th harmonic, homestuck sixth (2<span style="vertical-align: super;">-8</span> * 7 * 59)
| octave-reduced 413th harmonic, homestuck sixth (2<sup>-8</sup> * 7 * 59)
|-
|-
| [[13/8]]
| [[13/8]]
| 840.527662
| 840.527662
| 3o6, tho 6th
| 3o6, tho 6th
|m6<sup>13</sup>
| m6<sup>13</sup>
| lesser tridecimal neutral sixth, octave-reduced 13th harmonic
| lesser tridecimal neutral sixth, octave-reduced 13th harmonic
|-
|-
Line 1,076: Line 1,076:
| 852.592059
| 852.592059
| 1u6, lu 6th
| 1u6, lu 6th
|M6<sub>11</sub>
| M6<sub>11</sub>
| undecimal neutral sixth
| undecimal neutral sixth
|-
|-
Line 1,087: Line 1,087:
| [[38/23]]
| [[38/23]]
| 869.238669
| 869.238669
|23u19o6, twenty-thuno 6th
| 23u19o6, twenty-thuno 6th
|
|
| vicesimotertial submajor sixth
| vicesimotertial submajor sixth
Line 1,094: Line 1,094:
| 884.358713
| 884.358713
| y6, yo 6th
| y6, yo 6th
|M6<sup>5</sup>
| M6<sup>5</sup>
| major sixth
| major sixth
|-
|-
Line 1,100: Line 1,100:
| 898.153480
| 898.153480
| zgg7, zogugu 7th
| zgg7, zogugu 7th
|d7<sup>7</sup><sub>25</sub>
| d7<sup>7</sup><sub>25</sub>
|quasi-tempered major sixth
| quasi-tempered major sixth
|-
|-
| [[32/19]]
| [[32/19]]
| 902.486984
| 902.486984
|19u6, inu 6th
| 19u6, inu 6th
|
|
| utonal major sixth, octave-reduced 19th subharmonic
| utonal major sixth, octave-reduced 19th subharmonic
Line 1,112: Line 1,112:
| 905.865003
| 905.865003
| w6, wa 6th
| w6, wa 6th
|M6
| M6
| Pythagorean major sixth, octave-reduced 27th harmonic
| Pythagorean major sixth, octave-reduced 27th harmonic
|-
|-
Line 1,118: Line 1,118:
| 910.790821
| 910.790821
| 3u1o6, thulo 6th
| 3u1o6, thulo 6th
|M6<sup>11</sup><sub>13</sub>
| M6<sup>11</sup><sub>13</sub>
| tridecimal major sixth
| tridecimal major sixth
|-
|-
Line 1,124: Line 1,124:
| 918.641696
| 918.641696
| 17og7, sogu 7th
| 17og7, sogu 7th
|d7<sup>17</sup><sub>5</sub>
| d7<sup>17</sup><sub>5</sub>
| septendecimal diminished seventh, septendecimal major sixth
| septendecimal diminished seventh, septendecimal major sixth
|-
|-
Line 1,130: Line 1,130:
| 933.129094
| 933.129094
| r6, ru 6th
| r6, ru 6th
|M6<sub>7</sub>
| M6<sub>7</sub>
| supermajor sixth, septimal major sixth
| supermajor sixth, septimal major sixth
|-
|-
| [[55/32]]
| [[55/32]]
| 937.631656
| 937.631656
|1oy6, loyo 6th
| 1oy6, loyo 6th
|M6<sup>55</sup>
| M6<sup>55</sup>
| keenanismic supermajor sixth, octave-reduced 55th harmonic
| keenanismic supermajor sixth, octave-reduced 55th harmonic
|-
|-
| [[19/11]]
| [[19/11]]
| 946.195074
| 946.195074
|19o1u7, nolu 7th
| 19o1u7, nolu 7th
| m7<sup>19</sup><sub>11</sub>
| m7<sup>19</sup><sub>11</sub>
| ''maximal major sixth'', undevicesimal major sixth
| ''maximal major sixth'', undevicesimal major sixth
|-
|-
|[[140/81]]
| [[140/81]]
|947.319617
| 947.319617
|zy7, zoyo 7th
| zy7, zoyo 7th
|m7<sup>35</sup>
| m7<sup>35</sup>
|septimal semidiminished seventh, septimal inframinor seventh
| septimal semidiminished seventh, septimal inframinor seventh
|-
|-
|97/56
| 97/56
|951.069504
| 951.069504
|97or6, ninety-soru 6th
| 97or6, ninety-soru 6th
|M6<sup>97</sup><sub>7</sub>
| M6<sup>97</sup><sub>7</sub>
|homothetic semitwelve
| homothetic semitwelve
|-
|-
| [[26/15]]
| [[26/15]]
| 952.258947
| 952.258947
| 3og7, thogu 7th
| 3og7, thogu 7th
|d7<sup>13</sup><sub>5</sub>
| d7<sup>13</sup><sub>5</sub>
| semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth
| semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth
|-
|-
Line 1,166: Line 1,166:
| 968.825906
| 968.825906
| z7, zo 7th
| z7, zo 7th
|m7<sup>7</sup>
| m7<sup>7</sup>
| subminor seventh, harmonic seventh, octave-reduced 7th harmonic
| subminor seventh, harmonic seventh, octave-reduced 7th harmonic
|-
|-
Line 1,173: Line 1,173:
| Lyy6, large yoyo 6th
| Lyy6, large yoyo 6th
|
|
| marvel five-limit harmonic seventh, octave-reduced 225th harmonic, {{Monzo|-7, 2, 2}}
| marvel five-limit harmonic seventh, octave-reduced 225th harmonic ({{Monzo|-7, 2, 2}})
|-
|-
|[[127/72]]
| [[127/72]]
|982.511622
| 982.511622
|127o7
| 127o7
|m7<sup>127</sup>
| m7<sup>127</sup>
|harmonic/Pythagorean minor seventh meantone
| harmonic/Pythagorean minor seventh meantone
|-
|-
| [[30/17]]
| [[30/17]]
Line 1,187: Line 1,187:
| septendecimal minor seventh
| septendecimal minor seventh
|-
|-
|[[71/40]]
| [[71/40]]
|993.382830
| 993.382830
|71oy7
| 71oy7
|m7<sup>71</sup><sub>5</sub>
| m7<sup>71</sup><sub>5</sub>
|harmonic/just minor seventh meantone
| harmonic/just minor seventh meantone
|-
|-
|[[959/540]]
| [[959/540]]
|994.285690
| 994.285690
|137ozy8
| 137ozy8
|dd8<sup>7,137</sup><sub>5</sub>
| dd8<sup>7,137</sup><sub>5</sub>
|harmonic/Pythagorean/just minor seventh meantone
| harmonic/Pythagorean/just minor seventh meantone
|-
|-
| [[16/9]]
| [[16/9]]
| 996.089998
| 996.089998
| w7, wa 7th
| w7, wa 7th
|m7
| m7
| Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
| Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
|-
|-
Line 1,220: Line 1,220:
| 1017.596288
| 1017.596288
| g5, gu 7th
| g5, gu 7th
|m7<sub>5</sub>
| m7<sub>5</sub>
| classic minor seventh, large minor seventh
| classic minor seventh, large minor seventh
|-
|-
Line 1,232: Line 1,232:
| 1034.995772
| 1034.995772
| 1uy7, luyo 7th
| 1uy7, luyo 7th
|M7<sup>5</sup><sub>11</sub>
| M7<sup>5</sup><sub>11</sub>
| undecimal minor seventh, small undecimal neutral seventh
| undecimal minor seventh, small undecimal neutral seventh
|-
|-
Line 1,244: Line 1,244:
| 1049.362941
| 1049.362941
| 1o7, ilo 7th
| 1o7, ilo 7th
|m7<sup>11</sup>
| m7<sup>11</sup>
| undecimal neutral seventh, 21/4-tone
| undecimal neutral seventh, 21/4-tone
|-
|-
Line 1,250: Line 1,250:
| 1061.427339
| 1061.427339
| 3u7, thu 7th
| 3u7, thu 7th
|M7<sub>13</sub>
| M7<sub>13</sub>
| tridecimal neutral seventh
| tridecimal neutral seventh
|-
|-
Line 1,256: Line 1,256:
| 1071.701755
| 1071.701755
| 3or7, thoru 7th
| 3or7, thoru 7th
|m7<sup>13</sup><sub>7</sub>
| m7<sup>13</sup><sub>7</sub>
| 16/3-tone, tridecimal submajor seventh
| 16/3-tone, tridecimal submajor seventh
|-
|-
Line 1,262: Line 1,262:
| 1080.557192
| 1080.557192
| zg8, zogu octave
| zg8, zogu octave
|d8<sup>7</sup><sub>5</sub>
| d8<sup>7</sup><sub>5</sub>
| grave major seventh, octave minus a ruyo aug unison
| grave major seventh, octave minus a ruyo aug unison
|-
|-
Line 1,268: Line 1,268:
| 1088.268715
| 1088.268715
| y7, yo 7th
| y7, yo 7th
|M7<sup>5</sup>
| M7<sup>5</sup>
| major seventh, just major seventh, octave-reduced 15th harmonic
| major seventh, just major seventh, octave-reduced 15th harmonic
|-
|-
Line 1,274: Line 1,274:
| 1095.044590
| 1095.044590
| 17u7, su 7th
| 17u7, su 7th
|M7<sub>17</sub>
| M7<sub>17</sub>
| small septendecimal major seventh, [[octave-reduced]] 17th [[subharmonic]]
| small septendecimal major seventh, [[octave-reduced]] 17th [[subharmonic]]
|-
|-
Line 1,280: Line 1,280:
| 1101.045408
| 1101.045408
| 17o8, iso octave
| 17o8, iso octave
|d8<sup>17</sup>
| d8<sup>17</sup>
| large septendecimal major seventh
| large septendecimal major seventh
|-
|-
|[[36/19]]
| [[36/19]]
|1106.396986
| 1106.396986
|19u7, inu 7th
| 19u7, inu 7th
|M7<sub>19</sub>
| M7<sub>19</sub>
|small undevicesimal major seventh
| small undevicesimal major seventh
|-
|-
| [[243/128]]
| [[243/128]]
| 1109.775004
| 1109.775004
| Lw7, large wa 7th
| Lw7, large wa 7th
|M7
| M7
| Pythagorean major seventh, [[octave-reduced]] 243rd harmonic
| Pythagorean major seventh, [[octave-reduced]] 243rd harmonic
|-
|-
|[[19/10]]
| [[19/10]]
|1111.199302
| 1111.199302
|19og8, nogu 8ve
| 19og8, nogu 8ve
|d8<sup>19</sup><sub>5</sub>
| d8<sup>19</sup><sub>5</sub>
|large undevicesimal major seventh
| large undevicesimal major seventh
|-
|-
| [[40/21]]
| [[40/21]]
| 1115.532907
| 1115.532907
| ry7, ruyo 7th
| ry7, ruyo 7th
|M7<sup>5</sup><sub>7</sub>
| M7<sup>5</sup><sub>7</sub>
| acute major seventh
| acute major seventh
|-
|-
Line 1,310: Line 1,310:
| 1116.884905
| 1116.884905
| 61o7, sixty-wo 7th
| 61o7, sixty-wo 7th
|M7<sup>61</sup>
| M7<sup>61</sup>
| octave-reduced 61st harmonic
| octave-reduced 61st harmonic
|-
|-
Line 1,316: Line 1,316:
| 1129.327573
| 1129.327573
| gg8, gugu octave
| gg8, gugu octave
|d8<sub>25</sub>
| d8<sub>25</sub>
| classic diminished octave
| classic diminished octave
|-
|-
Line 1,322: Line 1,322:
| 1137.039096
| 1137.039096
| r7, ru 7th
| r7, ru 7th
|M7<sub>7</sub>
| M7<sub>7</sub>
| supermajor seventh, septimal major seventh
| supermajor seventh, septimal major seventh
|-
|-
Line 1,328: Line 1,328:
| 1145.035572
| 1145.035572
| 31o7, thirty-wo 7th
| 31o7, thirty-wo 7th
|M7<sup>31</sup>
| M7<sup>31</sup>
| 31-limit ultramajor seventh, octave-reduced 31st harmonic
| 31-limit ultramajor seventh, octave-reduced 31st harmonic
|-
|-
Line 1,334: Line 1,334:
| 1146.727057
| 1146.727057
| 1u8, lu octave
| 1u8, lu octave
|P8<sub>11</sub>
| P8<sub>11</sub>
| octave-reduced 33rd subharmonic
| octave-reduced 33rd subharmonic
|-
|-
Line 1,340: Line 1,340:
| 1151.239619
| 1151.239619
| zy8, zoyo octave
| zy8, zoyo octave
|P8<sup>35</sup>
| P8<sup>35</sup>
| octave minus a rugu comma
| octave minus a rugu comma
|-
|-
Line 1,346: Line 1,346:
| 1164.303188
| 1164.303188
| rr7, ruru 7th
| rr7, ruru 7th
|M7<sub>49</sub>
| M7<sub>49</sub>
|
|
|-
|-
Line 1,352: Line 1,352:
| 1165.024385
| 1165.024385
| zzgg9, bizogu 9th
| zzgg9, bizogu 9th
|d9<sup>49</sup><sub>25</sub>
| d9<sup>49</sup><sub>25</sub>
|  
|  
|-
|-
Line 1,358: Line 1,358:
| 1178.493814
| 1178.493814
| y8, yo octave
| y8, yo octave
|P8<sup>5</sup>
| P8<sup>5</sup>
| octave minus syntonic comma
| octave minus syntonic comma
|-
|-
Line 1,364: Line 1,364:
| 1200
| 1200
| w8, wa octave
| w8, wa octave
|P8
| P8
| [[Octave|octave]], [http://en.wikipedia.org/wiki/Diapason diapason]
| [[Octave|octave]], [[Wikipedia:Diapason|diapason]]
|}
|}


Revision as of 13:13, 25 October 2020

Introduction

In just intonation, a musical interval is specified as a ratio of two frequencies.. When two (or more) pitches are sounded that are in simple proportions to one another, there is a "fusing" quality to the sound which is often described as pleasing; hence the interest in tuning the pitches of musical systems according to such proportions. There is much debate as to what "consonance" means in a musical system, but in Just Intonation, it is generally assumed that lower numbers in frequency ratios lead to greater consonance. In the actual performance of a piece of music, the number of factors involved are enormous, and it is not often helpful to reduce a musical experience to a one-dimensional description of "consonance versus dissonance." Hence the need for this gallery, to give life to conversation about what an interval means beyond the numerical description: "5/3" or "21/16" or what have you.

What follows is a Gallery of Just Intervals in ascending order from 1/1 to 2/1 and beyond. No such list could possibly be complete (as there are infinite possible ratios), so please add intervals of interest as you see fit. Any rational interval is welcome, as long as the wiki author has some interest in it. Contributions to an interval's lore could include: descriptions of common usage, technical notes, poetry, links, reservations, complaints, chords or compositions that feature it, edos that approximate it, intervals that are functionally (or emotionally) related to it, nicknames, love letters, fan art, etc. If your contribution is unconventional, feel free to sign your name to it.

This page lists links to dedicated pages for each interval.

Explanation of the color names is here.

Gallery of Just Intervals

See also list of superparticular intervals and List of intervals (Huygens-Fokker foundation)

Many of the FJS names are still missing, please add them.

frequency ratio cents value
(six decimal places) 		color notation FJS name some common names
1/1 0 w1, wa unison P1 unity, perfect prime, Tonic
32805/32768 1.953721 Ly-2, layo comma d-25 schisma ([-15, 8, 1⟩)
225/224 7.711523 ryy-2, ruyoyo comma d-2257 septimal subcomma, marvel comma ([-5, 2, 2, -1⟩)
126/125 13.794767 zg32, zotrigu comma d27125 septimal semicomma, starling comma ([1, 2, -3, 1⟩)
100/99 17.399484 1uyy1, luyoyo comma A12511 Ptolemy's comma
99/98 17.576131 1orr-2, loruru comma m-21149 Mothwellsma
2048/2025 19.552569 sgg2, sagugu comma d225 diaschisma ([11, -4, -2⟩)
81/80 21.506286 g1, gu comma P15 meantone comma, syntonic comma, Didymus comma
531441/524288 23.460010 LLw-2, wa comma d-2 Pythagorean comma, ditonic comma ([-19, 12⟩)
66/65 26.431568 3u1og1, thulogu comma P11165 winmeanma
65/64 26.841376 3oy1, thoyo comma P165 wilsorma, 13th-partial chroma
64/63 27.264092 r1, ru comma P17 septimal comma, Archytas' comma
3125/3072 29.613568 Ly5-2, laquinyo comma dd-23125 magic comma, small diesis ([-10, -1, 5⟩)
50/49 34.975615 rryy-2, biruyo comma d-22549 septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis
49/48 35.696812 zz2, zozo comma m249 large septimal diesis, slendro diesis
45/44 38.905773 1uy1, luyo comma A1511 undecimal 1/5th tone
128/125 41.058858 g32, trigu comma d2125 diesis, minor diesis, augmented comma, enharmonic comma ([7, 0, -3⟩)
525/512 43.408335 Lzyy1, lazoyoyo comma A1525 Avicenna's enharmonic diesis ([-9, 1, 2, 1⟩)
1053/1024 48.347665 L3o1, latho comma P113 tridecimal comma
36/35 48.770381 rg1, rugu comma P135 double comma, septimal quarter tone
250/243 49.166137 y31, triyo comma A1125 porcupine comma ([1, -5, 3⟩)
59049/57344 50.724102 Lr-2, laru comma d-27 Harrison's comma ([-13, 10, 0, -1⟩)
100/97 52.732017 97uyy1, ninety-suyoyo unison A12597 shrutar quarter tone
33/32 53.272943 1o1, ilo unison P111 undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
648/625 62.565148 g42, quadgu 2nd d2625 diminished comma, major diesis ([8, 4, -4⟩)
28/27 62.960904 z2, zo 2nd m27 septimal chroma, small septimal chromatic semitone, subminor second, septimal minor second
27/26 65.337341 3u1, thu unison A113 small tridecimal third tone
26/25 67.900234 3ogg2, thogugu 2nd d21325 large tridecimal third tone
25/24 70.672427 yy1, yoyo unison A125 chroma, classic chromatic semitone, Zarlinian semitone
24/23 73.680654 23u1, twenty-thu unison lesser vicesimotertial semitone
68/65 78.114034 17o3ug2, sothugu 2nd m21765 valentine semitone
22/21 80.537035 1or1, loru unison P1117 undecimal minor semitone
64/61 83.115195 61u2, sixty-wu 2nd m261 harry minor semitone
21/20 84.467193 zg2, zogu 2nd m275 minor semitone, large septimal chromatic semitone
20/19 88.800698 19uy1, nuyo unison A1519 small undevicesimal limma, small undevicesimal semitone
256/243 90.224996 sw2, small wa 2nd m2 Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ([8, -5⟩)
135/128 92.178716 Ly1, layo unison A15 major limma ([-7, 3, 1⟩)
19/18 93.603014 19o2, ino 2nd m219 large undevicesimal limma, large undevicesimal semitone
18/17 98.954592 17u1, su unison A117 small septendecimal semitone, Arabic lute index finger
17/16 104.955410 17o2, iso 2nd m217 large septendecimal semitone, octave-reduced 17th harmonic
16/15 111.731285 g2, gu 2nd m25 diatonic semitone, classic minor second, octave-reduced 15th subharmonic
2187/2048 113.685006 Lw1, large wa unison A1 apotome, Pythagorean chromatic semitone, Pythagorean augmented unison ([-11, 7⟩)
77/72 116.233847 1oz2, lozo 2nd undecimal secor
15/14 119.442808 ry1, ruyo unison A157 septimal diatonic semitone
14/13 128.298245 3uz2, thuzo 2nd M2713 tridecimal 2/3-tone, trienthird, tridecimal supraminor second
27/25 133.237575 gg2, gugu 2nd m225 large limma
13/12 138.572661 3o2, tho 2nd m213 tridecimal subtone, tridecimal 2/3-tone
243/224 140.949098 Lr1, large ru unison A17 septimal subtone ([-5, 5, 0, -1⟩)
88/81 143.497939 1o2, ilo 2nd undecimal subtone
49/45 147.428097 zzg3, zozogu 3rd swetismic neutral second
12/11 150.637059 1u2, lu 2nd M211 small undecimal neutral second, 3/4-tone
35/32 155.139620 zy2, zoyo 2nd M235 septimal neutral second
78/71 162.786119 71u3o2, seventy-wutho 2nd porcupine neutral second
11/10 165.004228 1og2, logu 2nd m2115 large undecimal neutral second, 4/5-tone, Ptolemy's second
54/49 168.213190 rr1, ruru unison Zalzal's mujannab
10/9 182.403712 y2, yo 2nd M25 minor whole tone
49/44 186.333871 1uzz3, luzozo 3rd werckismic minor second
6272/5625 188.486956 szzg44, small bizogugu 4th ddd449625 marvelous second, marvelous (whole) tone
19/17 192.557607 19o17u2, nosu 2nd quasi-meantone
28/25 196.198479 zgg3, zogugu 3rd middle major second
55/49 199.979843 1orry1, loruruyo unison werckismic tone
64/57 200.531983 19u2, inu 2nd quasi-tempered whole tone, octave-reduced 57th subharmonic
9/8 203.910002 w2, wa 2nd M2 major whole tone, Pythagorean tone, octave-reduced 9th harmonic
17/15 216.686695 17og3, sogu 3rd septendecimal whole tone, septendecimal eventone
8/7 231.174094 r2, ru 2nd M27 supermajor second, septimal whole tone, octave-reduced 7th subharmonic
63/55 235.104252 1uzg3, luzogu 3rd werckismic supermajor second
55/48 235.676655 1oy2, loyo 2nd keenanismic supermajor second
15/13 247.741053 3uy2, thuyo 2nd A2513 semifourth, tridecimal ultramajor second, tridecimal inframinor third
97/84 249.114503 97or2, ninety-soru 2nd M2977 homothetic semifourth
81/70 252.268038 rg2, rugu 2nd M235 septimal semiaugmented second, septimal ultramajor second
22/19 253.804926 19u1o2, nulo 2nd M21119 minimal minor third, godzilla third
64/55 262.368344 1ug3, lugu 3rd m355 keenanismic subminor third, octave-reduced 55th subharmonic
7/6 266.870906 z3, zo 3rd m37 subminor third, septimal minor third
90/77 270.079867 1ury2, luruyo 2nd swetismic subminor third
62/53 271.531027 53u31o2, fifty-thu-thirty-wo 2nd orwell subminor third
75/64 274.582429 yy2, yoyo 2nd A225 classic augmented second
20/17 281.358304 17uy2, suyo 2nd septendecimal augmented second, septendecimal minor third
13/11 289.209179 3o1u3, tholu 3rd m31311 tridecimal minor third
32/27 294.134997 w3, wa 3rd m3 Pythagorean minor third, octave-reduced 27th subharmonic
19/16 297.513016 19o3, ino 3rd m319 otonal minor third, octave-reduced 19th harmonic
25/21 301.846520 ryy2, ruyoyo 2nd A2257 quasi-tempered minor third
61/51 309.974395 61o17u2, sixty-wosu 2nd myna third
6/5 315.641287 g3, gu 3rd m35 minor third, pental minor third
77/64 320.143849 1oz3, lozo 3rd keenanismic minor third, octave-reduced 77th harmonic
135/112 323.352810 ry2, ruyo 2nd large septimal minor third, marvelous minor third ([-4, 3, 1, -1⟩)
35/29 325.562426 29uzy3, twenty-nuzoyo 3rd doublewide minor third
23/19 330.761331 23o19u3, twenty-thonu 3rd vicesimotertial supraminor third
17/14 336.129503 17or3, soru 3rd septendecimal supraminor third
73/60 339.520756 73og3, seventy-thogu 3rd amity supraminor third
39/32 342.482663 3o3, tho 3rd m313 lesser tridecimal neutral third, octave-reduced 39th harmonic
625/512 345.254855 Ly42, large quadyo 2nd AA2625 5-limit neutral third ([-9, 0, 4⟩)
11/9 347.407941 1o3, ilo 3rd m311 undecimal neutral third
60/49 350.616902 rry2, ruruyo 2nd smaller septimal neutral third, (purple 3rd)
49/40 351.338099 zzg4, zozogu 4th larger septimal neutral third, (purple 3rd)
27/22 354.547060 1u3, lu 3rd M311 rastmic neutral third
16/13 359.472338 3u3, thu 3rd M313 greater tridecimal neutral third, octave reduced 13subharmonic
21/17 365.825498 17uz3, suzo 3rd septendecimal submajor third
51/41 377.848005 41u17o4, forty-wuso 4th maja third
56/45 378.602191 zg4, zogu 4th narrow perde segah, marvelous major third
71/57 380.228526 71o19u3, seventy-wonu 3rd witchcraft major third
76/61 380.628211 61u19o4, sixty-wuno 4th magic major third
96/77 381.811152 1ur3, luru 3rd undecimal perde segah, keenanismic major third
5/4 386.313714 y3, yo 3rd M35 major third, octave-reduced 5th harmonic, pental major third
161/128 397.100254 23oz4 M37,23 just/Pythagorean major third meantone, octave-reduced 161th harmonic
63/50 400.108480 zgg4, zogugu 4th d4725 quasi-tempered major third
81/64 407.820003 Lw3, large wa 3rd M3 Pythagorean major third, octave-reduced 81st harmonic
33/26 412.745281 3u1o3, thulo 3rd M31113 tridecimal major third
80/63 413.577806 ry3, ruyo 3rd werckismic sharp major third
14/11 417.507964 1uz4, luzo 4th P4711 undecimal major third, undecimal diminished fourth
32/25 427.372572 gg4, gugu 4th classic diminished fourth
77/60 431.875134 1ozg4, lozogu 4th swetismic supermajor third
9/7 435.084095 r3, ru 3rd M37 supermajor third, septimal major third
31/24 443.080572 31o3, thirty-wo 3rd sensi supermajor third
22/17 446.362533 17u1o3, sulo 3rd septendecimal supermajor third
35/27 449.274618 zy4, zoyo 4th semi-diminished fourth
13/10 454.213948 3og4, thogu 4th d4135 Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramaor third
64/49 462.348187 rr3, ruru 3rd M349 septatonic major third
17/13 464.427748 17o3u4, sothu 4th septendecimal sub-fourth
21/16 470.780907 z4, zo 4th P47 sub-fourth, narrow fourth, 8ve-reduced 21st harmonic
33/25 480.645516 1ogg4, logugu 4th d41125 "5-EDO"-esque fourth
117/88 493.119721 3o1u4, tholu 4th tridecimal gentle fourth ([-3, 2, 0, 0, -1, 1⟩)
4/3 498.044999 w4, wa 4th P4 just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
75/56 505.756522 ryy3, ruyoyo 3rd marvelous fourth
980/729 512.235522 zzy5, zozoyo 5th d5245 sensamagic fourth, septimal sesquidiminished grave fifth
27/20 519.551289 g4, gu 4th P45 acute fourth
19/14 528.687110 19or4, noru 4th undevicesimal wide fourth
49/36 533.741811 zz5, zozo 5th d549 Arabic lute acute fourth
15/11 536.950772 1uy4, luyo 4th A4511 undecimal augmented fourth, subaugmented fourth
48/35 546.815381 rg4, rugu 4th septimal super-fourth
11/8 551.317942 1o4, ilo 4th P411 super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
18/13 563.382340 3u4, thu 4th A413 tridecimal augmented fourth
25/18 568.717426 yy4, yoyo 4th A425 classic augmented fourth, pental augmented fourth ([-1 -2 2⟩)
88/63 578.582034 1or4, loru 4th werckismic augmented fourth
7/5 582.512193 zg5, zogu 5th d575 augmented fourth, septimal tritone, Huygen's tritone
45/32 590.223716 y4, yo 4th A45 smaller pental tritone, diatonic tritone ([-5 2 1⟩)
108/77 585.721154 1ur4, luru 4th swetismic augmented fourth ([2, 3, 0, -1, -1⟩)
24/17 596.999591 17u4, su 4th A417 smaller septendecimal tritone
99/70 600.088324 1org4, lorugu 4th P41135 homothetic quasi-tempered tritone
17/12 603.000409 17o5, iso 5th d517 larger septendecimal tritone
64/45 609.776284 g5, gu 5th d55 larger pental tritone, diatonic tritone ([6 -2 -1⟩)
10/7 617.487807 ry4, ruyo 4th A457 diminished fifth, Euler's tritone, superaugmented fourth
23/16 628.274347 23o5, twenty-tho 5th A423 23-limit superaugmented fourth, octave-reduced 23rd harmonic
36/25 631.282574 gg5, gugu 5th d525 pental diminished fifth, classic diminshed fifth ([2 2 -2⟩)
13/9 636.617660 3o5, tho 5th d513 tridecimal diminished fifth
16/11 648.682058 1u5, lu 5th P511 sub-fifth, octave-reduced 11th subharmonic
35/24 653.184619 zy5, zoyo 5th septimal sub-fifth
22/15 663.049228 1og5, logu 5th d5115 undecimal diminished fifth, semidiminished fifth
72/49 666.258889 rr4, ruru 4th septimal catafifth
81/55 670.188347 1ug5, lugu 5th undecimal catafifth
28/19 671.312890 19uz5, nuzo 5th undevicesimal narrow fifth
40/27 680.448711 y5, yo 5th P55 grave fifth
729/490 687.764478 rrg5, rurugu 4th A4245 sensamagic fifth, septimal sesquiaugmented acute fourth
112/75 694.243478 zgg6, zogugu 6th marvelous fifth
16384/10935 700.001280 sg6, sagu 6th d65 Kirnberger's fifth ("12-EDO"-esque fifth)
3/2 701.955001 w5, wa 5th P5 just perfect fifth, octave-reduced 3rd harmonic, diapente
182/121 706.717684 3o1uuz6, tholuluzo 6th tridecimal gentle fifth ([1, 0, 0, 1, -2, 1⟩)
176/117 706.880279 3u1o5, thulo 5th tridecimal gentle fifth ([4, -2, 0, 0, 1, -1⟩)
50/33 719.354484 1uyy5, luyoyo 5th "5-EDO"-esque fifth
32/21 729.219093 r5, ru 5th P57 super-fifth, wide fifth, octave-reduced 21st subharmonic
26/17 735.572252 17u3o5, sutho 5th septendecimal super-fifth
49/32 737.651813 zz6, zozo 6th m649 superduper fifth, octave-reduced 49th harmonic
20/13 745.786052 3uy5, thuyo 5th A5513 Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth
17/11 753.637467 17o1u6, solu 6th septendecimal subminor sixth
14/9 764.915905 z6, zo 6th m67 subminor sixth, septimal minor sixth
25/16 772.627428 yy5, yoyo 5th pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
11/7 782.492036 1or5, loru 5th P5117 undecimal subminor sixth, undecimal augmented fifth
63/40 786.422194 zg6, zogu 6th m675
52/33 787.254719 3o1u6, tholu 6th m61311 tridecimal minor sixth
128/81 792.179997 sw6, small wa 6th m6 Pythagorean minor sixth, octave-reduced 81st subharmonic
8/5 813.686286 g6, gu 6th m65 minor sixth, octave-reduced 5th subharmonic
413/256 827.997565 59oz6, fifty-nozo 6th octave-reduced 413th harmonic, homestuck sixth (2-8 * 7 * 59)
13/8 840.527662 3o6, tho 6th m613 lesser tridecimal neutral sixth, octave-reduced 13th harmonic
80/49 848.661901 rry5, ruruyo aug 5th (purple 6th)
49/30 849.383198 zzg7, zozogu 7th (purple 6th)
18/11 852.592059 1u6, lu 6th M611 undecimal neutral sixth
28/17 863.870497 17uz6, suzo 6th septendecimal submajor sixth
38/23 869.238669 23u19o6, twenty-thuno 6th vicesimotertial submajor sixth
5/3 884.358713 y6, yo 6th M65 major sixth
42/25 898.153480 zgg7, zogugu 7th d7725 quasi-tempered major sixth
32/19 902.486984 19u6, inu 6th utonal major sixth, octave-reduced 19th subharmonic
27/16 905.865003 w6, wa 6th M6 Pythagorean major sixth, octave-reduced 27th harmonic
22/13 910.790821 3u1o6, thulo 6th M61113 tridecimal major sixth
17/10 918.641696 17og7, sogu 7th d7175 septendecimal diminished seventh, septendecimal major sixth
12/7 933.129094 r6, ru 6th M67 supermajor sixth, septimal major sixth
55/32 937.631656 1oy6, loyo 6th M655 keenanismic supermajor sixth, octave-reduced 55th harmonic
19/11 946.195074 19o1u7, nolu 7th m71911 maximal major sixth, undevicesimal major sixth
140/81 947.319617 zy7, zoyo 7th m735 septimal semidiminished seventh, septimal inframinor seventh
97/56 951.069504 97or6, ninety-soru 6th M6977 homothetic semitwelve
26/15 952.258947 3og7, thogu 7th d7135 semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth
7/4 968.825906 z7, zo 7th m77 subminor seventh, harmonic seventh, octave-reduced 7th harmonic
225/128 976.537429 Lyy6, large yoyo 6th marvel five-limit harmonic seventh, octave-reduced 225th harmonic ([-7, 2, 2⟩)
127/72 982.511622 127o7 m7127 harmonic/Pythagorean minor seventh meantone
30/17 983.313305 17uy6, suyo 6th septendecimal minor seventh
71/40 993.382830 71oy7 m7715 harmonic/just minor seventh meantone
959/540 994.285690 137ozy8 dd87,1375 harmonic/Pythagorean/just minor seventh meantone
16/9 996.089998 w7, wa 7th m7 Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
25/14 1003.801521 ryy6, ruyoyo 6th Middle minor seventh
34/19 1007.442393 19u17o7, nuso 7th Quasi-meantone minor seventh
9/5 1017.596288 g5, gu 7th m75 classic minor seventh, large minor seventh
29/16 1029.577194 29o7, twenty-no 7th 29-limit large minor seventh, octave-reduced 29th harmonic
20/11 1034.995772 1uy7, luyo 7th M7511 undecimal minor seventh, small undecimal neutral seventh
64/35 1044.860380 rg7, rugu 7th
11/6 1049.362941 1o7, ilo 7th m711 undecimal neutral seventh, 21/4-tone
24/13 1061.427339 3u7, thu 7th M713 tridecimal neutral seventh
13/7 1071.701755 3or7, thoru 7th m7137 16/3-tone, tridecimal submajor seventh
28/15 1080.557192 zg8, zogu octave d875 grave major seventh, octave minus a ruyo aug unison
15/8 1088.268715 y7, yo 7th M75 major seventh, just major seventh, octave-reduced 15th harmonic
32/17 1095.044590 17u7, su 7th M717 small septendecimal major seventh, octave-reduced 17th subharmonic
17/9 1101.045408 17o8, iso octave d817 large septendecimal major seventh
36/19 1106.396986 19u7, inu 7th M719 small undevicesimal major seventh
243/128 1109.775004 Lw7, large wa 7th M7 Pythagorean major seventh, octave-reduced 243rd harmonic
19/10 1111.199302 19og8, nogu 8ve d8195 large undevicesimal major seventh
40/21 1115.532907 ry7, ruyo 7th M757 acute major seventh
61/32 1116.884905 61o7, sixty-wo 7th M761 octave-reduced 61st harmonic
48/25 1129.327573 gg8, gugu octave d825 classic diminished octave
27/14 1137.039096 r7, ru 7th M77 supermajor seventh, septimal major seventh
31/16 1145.035572 31o7, thirty-wo 7th M731 31-limit ultramajor seventh, octave-reduced 31st harmonic
64/33 1146.727057 1u8, lu octave P811 octave-reduced 33rd subharmonic
35/18 1151.239619 zy8, zoyo octave P835 octave minus a rugu comma
96/49 1164.303188 rr7, ruru 7th M749
49/25 1165.024385 zzgg9, bizogu 9th d94925
160/81 1178.493814 y8, yo octave P85 octave minus syntonic comma
2/1 1200 w8, wa octave P8 octave, diapason

Intervals larger than an octave

In the color names, "co" or "c" stands for compound, a conventional music term.

frequency ratio cents value

(three decimal places)

color name FJS name some common names
13/6 1338.573 3o9 tho 9th m913
11/5 1365.004 1o9 ilo 9th m9115
16/7 1431.174 r9 ru 9th m97
7/3 1466.871 z10 zo 10th m107 septimal minor tenth
5/2 1586.314 y10 yo 10th M105 just major tenth
8/3 1698.045 w11, cw4 wa 11th, co wa 4th P11
11/4 1751.318 1o11, c1o4 ilo 11th, co lo 4th P1111
3/1 1901.955 w12, cw5 wa 12th, co wa 5th P12 tritave
16/5 2013.686 g13, cg6 gu 13th, co gu 6th m135
13/4 2040.528 3o13, c3o6 tho 13th, co tho 6th
10/3 2084.359 y13, cy6 yo 13th, co yo 6th
7/2 2168.826 cz7 co zo 7th
11/3 2249.363 c1o7 co ilo 7th
15/4 2288.269 cy7 co yo 7th
4/1 2400.000 cw8 wa double 8ve P15 4th harmonic, two octaves
13/3 2538.573 c3o9, cc3o2 co tho 9th, coco tho 2nd
9/2 2603.910 cw9, ccw2 co wa 9th, coco yo 2nd
14/3 2666.871 cz10, ccz3 co zo 10th, coco zo 3rd
5/1 2786.314 cy10, ccy3 co yo 10th, coco yo 3rd M175 5th harmonic
16/3 2898.045 ccw4 coco wa 4th
11/2 2951.318 cc1o4 coco ilo 4th
6/1 3101.955 ccw5 coco wa 5th
13/2 3240.528 cc3o6 coco tho 6th
7/1 3368.826 ccz7 coco zo 7th
15/2 3488.269 ccy7 coco yo 7th
8/1 3600.000 c3w1 wa triple 8ve
9/1 3803.910 c3w2 trico wa 2nd
10/1 3986.314 c3y3 trico yo 3rd
11/1 4151.318 c31o4 trico ilo 4th
12/1 4301.955 c3w5 trico wa 5th
13/1 4440.528 c33o6 trico tho 6th
14/1 4568.826 c3z7 trico zo 7th
15/1 4688.269 c3y7 trico yo 7th
16/1 4800.000 c4w1 wa quadruple 8ve

See also

Links

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