Gallery of just intervals: Difference between revisions
updated color notation |
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| Line 36: | Line 36: | ||
| | [[32805/32768|32805/32768]] | | | [[32805/32768|32805/32768]] | ||
| | 1.953721 | | | 1.953721 | ||
| | Ly-2 = yo | | | Ly-2 = yo minicomma | ||
| |<nowiki> schisma, |-15, 8, 1</nowiki>> | | |<nowiki> schisma, |-15, 8, 1</nowiki>> | ||
|- | |- | ||
| | [[225/224|225/224]] | | | [[225/224|225/224]] | ||
| | 7.711523 | | | 7.711523 | ||
| | ryy-2 = ruyoyo | | | ryy-2 = ruyoyo minicomma | ||
| |<nowiki> septimal subcomma, |-5, 2, 2, -1</nowiki>> | | |<nowiki> septimal subcomma, |-5, 2, 2, -1</nowiki>> | ||
|- | |- | ||
| Line 111: | Line 111: | ||
| | [[525/512|525/512]] | | | [[525/512|525/512]] | ||
| | 43.408335 | | | 43.408335 | ||
| | | | | Lzyy1 = large zoyoyo comma | ||
| |<nowiki> Avicenna's enharmonic diesis, |-9, 1, 2, 1</nowiki>> | | |<nowiki> Avicenna's enharmonic diesis, |-9, 1, 2, 1</nowiki>> | ||
|- | |- | ||
| Line 131: | Line 131: | ||
| | [[100/97|100/97]] | | | [[100/97|100/97]] | ||
| | 52.732017 | | | 52.732017 | ||
| | | | | 97uyy1 = ninety-suyoyo quarter-tone | ||
| | shrutar quarter tone | | | shrutar quarter tone | ||
|- | |- | ||
| | [[33/32|33/32]] | | | [[33/32|33/32]] | ||
| | 53.272943 | | | 53.272943 | ||
| | | | | 1o1 = lo quarter-tone | ||
| | 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 146: | Line 146: | ||
| | [[28/27|28/27]] | | | [[28/27|28/27]] | ||
| | 62.960904 | | | 62.960904 | ||
| | | | | z2 = zo 2nd | ||
| | septimal chroma, small septimal chromatic semitone, septimal subminor second | | | septimal chroma, small septimal chromatic semitone, septimal subminor second | ||
|- | |- | ||
| Line 156: | Line 156: | ||
| | [[68/65|68/65]] | | | [[68/65|68/65]] | ||
| | 78.114034 | | | 78.114034 | ||
| | | | | 17o3ug2 = sothugu 2nd | ||
| | valentine semitone | | | valentine semitone | ||
|- | |- | ||
| | [[22/21|22/21]] | | | [[22/21|22/21]] | ||
| | 80.537035 | | | 80.537035 | ||
| | | | | 1or1 = loru semitone | ||
| | undecimal minor semitone | | | undecimal minor semitone | ||
|- | |- | ||
| | [[64/61|64/61]] | | | [[64/61|64/61]] | ||
| | 83.115195 | | | 83.115195 | ||
| | | | | 61u2 = sixty-wu 2nd | ||
| | harry minor semitone | | | harry minor semitone | ||
|- | |- | ||
| | [[21/20|21/20]] | | | [[21/20|21/20]] | ||
| | 84.467193 | | | 84.467193 | ||
| | | | | zg2 = zogu 2nd | ||
| | minor semitone, large septimal chromatic semitone | | | minor semitone, large septimal chromatic semitone | ||
|- | |- | ||
| Line 182: | Line 182: | ||
| | 92.178716 | | | 92.178716 | ||
| | Ly1 = large yo semitone | | | Ly1 = large yo semitone | ||
| |<nowiki> | | |<nowiki> ma1oor limma, |-7, 3, 1</nowiki>> | ||
|- | |- | ||
| | [[18/17|18/17]] | | | [[18/17|18/17]] | ||
| | 98.954592 | | | 98.954592 | ||
| | | | | 17u1 = su semitone | ||
| | small septendecimal semitone, Arabic lute index finger | | | small septendecimal semitone, Arabic lute index finger | ||
|- | |- | ||
| | [[17/16|17/16]] | | | [[17/16|17/16]] | ||
| | 104.955410 | | | 104.955410 | ||
| | | | | 17o2 = sova 2nd | ||
| | large septendecimal semitone, octave-reduced 17th harmonic | | | large septendecimal semitone, octave-reduced 17th harmonic | ||
|- | |- | ||
| Line 206: | Line 206: | ||
| | [[77/72|77/72]] | | | [[77/72|77/72]] | ||
| | 116.233847 | | | 116.233847 | ||
| | | | | 1oz2 = lozo 2nd | ||
| | undecimal secor | | | undecimal secor | ||
|- | |- | ||
| Line 216: | Line 216: | ||
| | [[14/13|14/13]] | | | [[14/13|14/13]] | ||
| | 128.298245 | | | 128.298245 | ||
| | | | | 3uz2 = thuzo 2nd | ||
| | 2/3-tone, trienthird, tridecimal supraminor second | | | 2/3-tone, trienthird, tridecimal supraminor second | ||
|- | |- | ||
| Line 226: | Line 226: | ||
| | [[13/12|13/12]] | | | [[13/12|13/12]] | ||
| | 138.572661 | | | 138.572661 | ||
| | | | | 3o2 = tho 2nd | ||
| | tridecimal subtone, tridecimal 2/3-tone | | | tridecimal subtone, tridecimal 2/3-tone | ||
|- | |- | ||
| Line 236: | Line 236: | ||
| | [[88/81|88/81]] | | | [[88/81|88/81]] | ||
| | 143.497939 | | | 143.497939 | ||
| | | | | 1o2 = lova 2nd | ||
| | undecimal subtone | | | undecimal subtone | ||
|- | |- | ||
| | [[49/45|49/45]] | | | [[49/45|49/45]] | ||
| | 147.428097 | | | 147.428097 | ||
| | | | | zzg3 = zozogu 3rd | ||
| | swetismic neutral second | | | swetismic neutral second | ||
|- | |- | ||
| | [[12/11|12/11]] | | | [[12/11|12/11]] | ||
| | 150.637059 | | | 150.637059 | ||
| | | | | 1u2 = lu 2nd | ||
| | small undecimal neutral second, 3/4-tone | | | small undecimal neutral second, 3/4-tone | ||
|- | |- | ||
| Line 256: | Line 256: | ||
| | [[78/71|78/71]] | | | [[78/71|78/71]] | ||
| | 162.786119 | | | 162.786119 | ||
| | | | | 71u3o2= seventy-wutho 2nd | ||
| | porcupine neutral second | | | porcupine neutral second | ||
|- | |- | ||
| | [[11/10|11/10]] | | | [[11/10|11/10]] | ||
| | 165.004228 | | | 165.004228 | ||
| | | | | 1og2 = logu 2nd | ||
| | large undecimal neutral second, 4/5-tone, Ptolemy's second | | | large undecimal neutral second, 4/5-tone, Ptolemy's second | ||
|- | |- | ||
| Line 276: | Line 276: | ||
| | [[49/44|49/44]] | | | [[49/44|49/44]] | ||
| | 186.333871 | | | 186.333871 | ||
| | | | | 1uzz3 = luzozo 3rd | ||
| | werckismic minor second | | | werckismic minor second | ||
|- | |- | ||
| | [[19/17|19/17]] | | | [[19/17|19/17]] | ||
| | 192.557607 | | | 192.557607 | ||
| | | | | 19o17u2 = nosu 2nd | ||
| | quasi-meantone | | | quasi-meantone | ||
|- | |- | ||
| | [[28/25|28/25]] | | | [[28/25|28/25]] | ||
| | 196.198479 | | | 196.198479 | ||
| | | | | zgg3 = zogugu 3rd | ||
| | middle major second | | | middle major second | ||
|- | |- | ||
| | [[55/49|55/49]] | | | [[55/49|55/49]] | ||
| | 199.979843 | | | 199.979843 | ||
| | | | | 1orry1 = loruruyo unison | ||
| | werckismic tone | | | werckismic tone | ||
|- | |- | ||
| Line 301: | Line 301: | ||
| | [[17/15|17/15]] | | | [[17/15|17/15]] | ||
| | 216.686695 | | | 216.686695 | ||
| | | | | 17og3 = sogu 3rd | ||
| | septendecimal whole tone, septendecimal eventone | | | septendecimal whole tone, septendecimal eventone | ||
|- | |- | ||
| Line 311: | Line 311: | ||
| | [[63/55|63/55]] | | | [[63/55|63/55]] | ||
| | 235.104252 | | | 235.104252 | ||
| | | | | 1uzg3 = luzogu 3rd | ||
| | werckismic supermajor second | | | werckismic supermajor second | ||
|- | |- | ||
| | [[55/48|55/48]] | | | [[55/48|55/48]] | ||
| | 235.676655 | | | 235.676655 | ||
| | | | | 1oy2 = loyo 2nd | ||
| | keenanismic supermajor second | | | keenanismic supermajor second | ||
|- | |- | ||
| | [[15/13|15/13]] | | | [[15/13|15/13]] | ||
| | 247.741053 | | | 247.741053 | ||
| | | | | 3uy2 = thuyo 2nd | ||
| | semifourth, tridecimal ultramajor second, tridecimal inframinor third | | | semifourth, tridecimal ultramajor second, tridecimal inframinor third | ||
|- | |- | ||
| | [[22/19|22/19]] | | | [[22/19|22/19]] | ||
| | 253.804926 | | | 253.804926 | ||
| | | | | 19u1o2 = nulo 2nd | ||
| | minimal minor third, godzilla third | | | minimal minor third, godzilla third | ||
|- | |- | ||
| | [[64/55|64/55]] | | | [[64/55|64/55]] | ||
| | 262.368344 | | | 262.368344 | ||
| | | | | 1ug3 = lugu 3rd | ||
| | keenanismic subminor third, octave-reduced 55th subharmonic | | | keenanismic subminor third, octave-reduced 55th subharmonic | ||
|- | |- | ||
| | [[7/6|7/6]] | | | [[7/6|7/6]] | ||
| | 266.870906 | | | 266.870906 | ||
| | | | | z3 = zo 3rd | ||
| | subminor third, septimal minor third, augmented second | | | subminor third, septimal minor third, augmented second | ||
|- | |- | ||
| | [[90/77|90/77]] | | | [[90/77|90/77]] | ||
| | 270.079867 | | | 270.079867 | ||
| | | | | 1ury2 = luruyo 2nd | ||
| | swetismic subminor third | | | swetismic subminor third | ||
|- | |- | ||
| | [[62/53|62/53]] | | | [[62/53|62/53]] | ||
| | 271.531027 | | | 271.531027 | ||
| | | | | 53u31o2 = fifty-thu-thirty-wo 2nd | ||
| | orwell subminor third | | | orwell subminor third | ||
|- | |- | ||
| Line 356: | Line 356: | ||
| | [[20/17|20/17]] | | | [[20/17|20/17]] | ||
| | 281.358304 | | | 281.358304 | ||
| | | | | 17uy2 = suyo 2nd | ||
| | septendecimal augmented second, septendecimal minor third | | | septendecimal augmented second, septendecimal minor third | ||
|- | |- | ||
| | [[13/11|13/11]] | | | [[13/11|13/11]] | ||
| | 289.209179 | | | 289.209179 | ||
| | | | | 3o1u3 = tholu 3rd | ||
| | tridecimal minor third | | | tridecimal minor third | ||
|- | |- | ||
| Line 371: | Line 371: | ||
| | [[19/16|19/16]] | | | [[19/16|19/16]] | ||
| | 297.513016 | | | 297.513016 | ||
| | | | | 19o3 = nova 3rd | ||
| | otonal minor third, octave-reduced 19th harmonic | | | otonal minor third, octave-reduced 19th harmonic | ||
|- | |- | ||
| Line 381: | Line 381: | ||
| | [[61/51|61/51]] | | | [[61/51|61/51]] | ||
| | 309.974395 | | | 309.974395 | ||
| | | | | 61o17u2 = sixty-wosu 2nd | ||
| | myna third | | | myna third | ||
|- | |- | ||
| Line 391: | Line 391: | ||
| | [[77/64|77/64]] | | | [[77/64|77/64]] | ||
| | 320.143849 | | | 320.143849 | ||
| | | | | 1oz3 = lozo 3rd | ||
| | keenanismic minor third, octave-reduced 77th harmonic | | | keenanismic minor third, octave-reduced 77th harmonic | ||
|- | |- | ||
| Line 401: | Line 401: | ||
| | [[35/29|35/29]] | | | [[35/29|35/29]] | ||
| | 325.562426 | | | 325.562426 | ||
| | | | | 29uzy3 = twenty-nuzoyo 3rd | ||
| | doublewide minor third | | | doublewide minor third | ||
|- | |- | ||
| | [[17/14|17/14]] | | | [[17/14|17/14]] | ||
| | 336.129503 | | | 336.129503 | ||
| | | | | 17or3 = soru 3rd | ||
| | septendecimal supraminor third | | | septendecimal supraminor third | ||
|- | |- | ||
| | [[73/60|73/60]] | | | [[73/60|73/60]] | ||
| | 339.520756 | | | 339.520756 | ||
| | | | | 73og3 = seventy-thogu 3rd | ||
| | amity supraminor third | | | amity supraminor third | ||
|- | |- | ||
| Line 421: | Line 421: | ||
| | [[11/9|11/9]] | | | [[11/9|11/9]] | ||
| | 347.407941 | | | 347.407941 | ||
| | | | | 1o3 = lova 3rd | ||
| | undecimal neutral third | | | undecimal neutral third | ||
|- | |- | ||
| Line 427: | Line 427: | ||
| | 350.616902 | | | 350.616902 | ||
| | rry2 = ruruyo 2nd | | | rry2 = ruruyo 2nd | ||
| | smaller septimal neutral third, (p3 = purple 3rd) | |||
( | |||
|- | |- | ||
| | [[49/40|49/40]] | | | [[49/40|49/40]] | ||
| | 351.338099 | | | 351.338099 | ||
| | | | | zzg4 = zozogu 4th | ||
| | larger septimal neutral third, (p3 = purple 3rd) | |||
( | |||
|- | |- | ||
| | [[27/22|27/22]] | | | [[27/22|27/22]] | ||
| | 354.547060 | | | 354.547060 | ||
| | | | | 1u3 = lu 3rd | ||
| | rastmic neutral third | | | rastmic neutral third | ||
|- | |- | ||
| | [[16/13|16/13]] | | | [[16/13|16/13]] | ||
| | 359.472338 | | | 359.472338 | ||
| | | | | 3u3 = thu 3rd | ||
| | tridecimal neutral third | | | tridecimal neutral third | ||
|- | |- | ||
| | [[21/17|21/17]] | | | [[21/17|21/17]] | ||
| | 365.825498 | | | 365.825498 | ||
| | | | | 17uz3 = suzo 3rd | ||
| | septendecimal submajor third | | | septendecimal submajor third | ||
|- | |- | ||
| | [[56/45|56/45]] | | | [[56/45|56/45]] | ||
| | 378.602191 | | | 378.602191 | ||
| | | | | zg4 = zogu 4th | ||
| | narrow perde segah, marvelous major third | | | narrow perde segah, marvelous major third | ||
|- | |- | ||
| | 51/41 | | | 51/41 | ||
| | 377.848005 | | | 377.848005 | ||
| | | | | 41u17o4 = forty-wuso 4th | ||
| | maja third | | | maja third | ||
|- | |- | ||
| | [[71/57|71/57]] | | | [[71/57|71/57]] | ||
| | 380.228526 | | | 380.228526 | ||
| | | | | 71o19u3 = seventy-wonu 3rd | ||
| | witchcraft major third | | | witchcraft major third | ||
|- | |- | ||
| | [[76/61|76/61]] | | | [[76/61|76/61]] | ||
| | 380.628211 | | | 380.628211 | ||
| | | | | 61u19o4 = sixty-wuno 4th | ||
| | magic major third | | | magic major third | ||
|- | |- | ||
| | [[96/77|96/77]] | | | [[96/77|96/77]] | ||
| | 381.811152 | | | 381.811152 | ||
| | | | | 1ur3 = luru 3rd | ||
| | undecimal perde segah, keenanismic major third | | | undecimal perde segah, keenanismic major third | ||
|- | |- | ||
| Line 495: | Line 491: | ||
| | [[14/11|14/11]] | | | [[14/11|14/11]] | ||
| | 417.507964 | | | 417.507964 | ||
| | | | | 1uz4 = luzo 4th | ||
| | undecimal major third, undecimal diminished fourth | | | undecimal major third, undecimal diminished fourth | ||
|- | |- | ||
| Line 505: | Line 501: | ||
| | [[77/60|77/60]] | | | [[77/60|77/60]] | ||
| | 431.875134 | | | 431.875134 | ||
| | | | | 1ozg4 = lozogu 4th | ||
| | swetismic supermajor third | | | swetismic supermajor third | ||
|- | |- | ||
| Line 515: | Line 511: | ||
| | [[31/24|31/24]] | | | [[31/24|31/24]] | ||
| | 443.080572 | | | 443.080572 | ||
| | | | | 31o3 = thirty-wo 3rd | ||
| | sensi supermajor third | | | sensi supermajor third | ||
|- | |- | ||
| | [[22/17|22/17]] | | | [[22/17|22/17]] | ||
| | 446.362533 | | | 446.362533 | ||
| | | | | 17u1o3 = sulo 3rd | ||
| | septendecimal supermajor third | | | septendecimal supermajor third | ||
|- | |- | ||
| | [[35/27|35/27]] | | | [[35/27|35/27]] | ||
| | 449.274618 | | | 449.274618 | ||
| | | | | zy4 = zoyo 4th | ||
| | semi-diminished fourth | | | semi-diminished fourth | ||
|- | |- | ||
| | [[13/10|13/10]] | | | [[13/10|13/10]] | ||
| | 454.213948 | | | 454.213948 | ||
| | | | | 3og4 = thogu 4th | ||
| | Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal | | | Barbados third, tridecimal 9/4 tone, tridecimal semidiminished fourth, tridecimal ultramaor third | ||
|- | |- | ||
| | [[64/49|64/49]] | | | [[64/49|64/49]] | ||
| Line 540: | Line 536: | ||
| | [[17/13|17/13]] | | | [[17/13|17/13]] | ||
| | 464.427748 | | | 464.427748 | ||
| | | | | 17o3u4 = sothu 4th | ||
| | septendecimal sub-fourth | | | septendecimal sub-fourth | ||
|- | |- | ||
| | [[21/16|21/16]] | | | [[21/16|21/16]] | ||
| | 470.780907 | | | 470.780907 | ||
| | | | | z4 = zo 4th | ||
| | sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic | | | sub-fourth, narrow fourth, augmented third, 8ve-reduced 21st harmonic | ||
|- | |- | ||
| | [[33/25|33/25]] | | | [[33/25|33/25]] | ||
| | 480.645516 | | | 480.645516 | ||
| | | | | 1ogg4 = logugu 4th | ||
| | "5-EDO"-esque fourth | | | "5-EDO"-esque fourth | ||
|- | |- | ||
| | 117/88 | | | 117/88 | ||
| | 493.119721 | | | 493.119721 | ||
| | | | | 3o1u4 = tholu 4th | ||
| |<nowiki> tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1</nowiki>> | | |<nowiki> tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1</nowiki>> | ||
|- | |- | ||
| Line 575: | Line 571: | ||
| | [[19/14|19/14]] | | | [[19/14|19/14]] | ||
| | 528.687110 | | | 528.687110 | ||
| | | | | 19or4 = noru 4th | ||
| | 19-limit wide fourth | | | 19-limit wide fourth | ||
|- | |- | ||
| | [[49/36|49/36]] | | | [[49/36|49/36]] | ||
| | 533.741811 | | | 533.741811 | ||
| | | | | zz5 = zozo 5th | ||
| | Arabic lute acute fourth | | | Arabic lute acute fourth | ||
|- | |- | ||
| | [[15/11|15/11]] | | | [[15/11|15/11]] | ||
| | 536.950772 | | | 536.950772 | ||
| | | | | 1uy4 = luyo 4th | ||
| | undecimal augmented fourth, subaugmented fourth | | | undecimal augmented fourth, subaugmented fourth | ||
|- | |- | ||
| | [[48/35|48/35]] | | | [[48/35|48/35]] | ||
| | 546.815381 | | | 546.815381 | ||
| | | | | rg4 = rugu 4th | ||
| | septimal super-fourth | | | septimal super-fourth | ||
|- | |- | ||
| | [[11/8|11/8]] | | | [[11/8|11/8]] | ||
| | 551.317942 | | | 551.317942 | ||
| | | | | 1o4 = lova 4th | ||
| | 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 | ||
|- | |- | ||
| | [[18/13|18/13]] | | | [[18/13|18/13]] | ||
| | 563.382340 | | | 563.382340 | ||
| | | | | 3u4 = thu 4th | ||
| | tridecimal augmented fourth | | | tridecimal augmented fourth | ||
|- | |- | ||
| Line 610: | Line 606: | ||
| | [[88/63|88/63]] | | | [[88/63|88/63]] | ||
| | 578.582034 | | | 578.582034 | ||
| | | | | 1or4 = loru 4th | ||
| | werckismic augmented fourth | | | werckismic augmented fourth | ||
|- | |- | ||
| | [[7/5|7/5]] | | | [[7/5|7/5]] | ||
| | 582.512193 | | | 582.512193 | ||
| | | | | zg5 = zogu 5th | ||
| | augmented fourth, septimal tritone, Huygen's tritone | | | augmented fourth, septimal tritone, Huygen's tritone | ||
|- | |- | ||
| Line 625: | Line 621: | ||
| | [[108/77|108/77]] | | | [[108/77|108/77]] | ||
| | 585.721154 | | | 585.721154 | ||
| | | | | 1ur4 = luru 4th | ||
| |<nowiki> swetismic augmented fourth, |2, 3, 0, -1, -1</nowiki>> | | |<nowiki> swetismic augmented fourth, |2, 3, 0, -1, -1</nowiki>> | ||
|- | |- | ||
| | [[24/17|24/17]] | | | [[24/17|24/17]] | ||
| | 596.999591 | | | 596.999591 | ||
| | | | | 17u4 = su 4th | ||
| | smaller septendecimal tritone | | | smaller septendecimal tritone | ||
|- | |- | ||
| | [[17/12|17/12]] | | | [[17/12|17/12]] | ||
| | 603.000409 | | | 603.000409 | ||
| | | | | 17o5 = sova 5th | ||
| | larger septendecimal tritone | | | larger septendecimal tritone | ||
|- | |- | ||
| Line 650: | Line 646: | ||
| | [[23/16|23/16]] | | | [[23/16|23/16]] | ||
| | 628.274347 | | | 628.274347 | ||
| | | | | 23o5 = twenty-tho 5th | ||
| | 23-limit superaugmented fourth, octave-reduced 23rd harmonic | | | 23-limit superaugmented fourth, octave-reduced 23rd harmonic | ||
|- | |- | ||
| Line 660: | Line 656: | ||
| | [[13/9|13/9]] | | | [[13/9|13/9]] | ||
| | 636.617660 | | | 636.617660 | ||
| | | | | 3o5 = tho 5th | ||
| | tridecimal diminished fifth | | | tridecimal diminished fifth | ||
|- | |- | ||
| | [[16/11|16/11]] | | | [[16/11|16/11]] | ||
| | 648.682058 | | | 648.682058 | ||
| | | | | 1u5 = lu 5th | ||
| | sub-fifth, octave-reduced 11th subharmonic | | | sub-fifth, octave-reduced 11th subharmonic | ||
|- | |- | ||
| | [[35/24|35/24]] | | | [[35/24|35/24]] | ||
| | 653.184619 | | | 653.184619 | ||
| | | | | zy5 = zoyo 5th | ||
| | septimal sub-fifth | | | septimal sub-fifth | ||
|- | |- | ||
| | [[22/15|22/15]] | | | [[22/15|22/15]] | ||
| | 663.049228 | | | 663.049228 | ||
| | | | | 1og5 = logu 5th | ||
| | undecimal diminished fifth, semidiminished fifth | | | undecimal diminished fifth, semidiminished fifth | ||
|- | |- | ||
| Line 685: | Line 681: | ||
| | [[81/55|81/55]] | | | [[81/55|81/55]] | ||
| | 670.188347 | | | 670.188347 | ||
| | | | | 1ug5 = lugu 5th | ||
| | undecimal catafifth | | | undecimal catafifth | ||
|- | |- | ||
| | [[28/19|28/19]] | | | [[28/19|28/19]] | ||
| | 671.312890 | | | 671.312890 | ||
| | | | | 19uz5 = nuzo 5th | ||
| | 19-limit narrow fifth | | | 19-limit narrow fifth | ||
|- | |- | ||
| Line 700: | Line 696: | ||
| | [[112/75|112/75]] | | | [[112/75|112/75]] | ||
| | 694.243478 | | | 694.243478 | ||
| | | | | zgg6 = zogugu 6th | ||
| | marvelous fifth | | | marvelous fifth | ||
|- | |- | ||
| Line 710: | Line 706: | ||
| | [[182/121|182/121]] | | | [[182/121|182/121]] | ||
| | 706.717684 | | | 706.717684 | ||
| | | | | 3o1uuz6 = tholuluzo 6th | ||
| |<nowiki> tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 </nowiki>> | | |<nowiki> tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 </nowiki>> | ||
|- | |- | ||
| | 176/117 | | | 176/117 | ||
| | 706.880279 | | | 706.880279 | ||
| | | | | 3u1o5 = thulo 5th | ||
| |<nowiki> tridecimal gentle fifth, |4, -2, 0, 0, 1, -1</nowiki>> | | |<nowiki> tridecimal gentle fifth, |4, -2, 0, 0, 1, -1</nowiki>> | ||
|- | |- | ||
| | [[50/33|50/33]] | | | [[50/33|50/33]] | ||
| | 719.354484 | | | 719.354484 | ||
| | | | | 1uyy5 = luyoyo 5th | ||
| | "[[5edo|5-EDO]]"-esque fifth | | | "[[5edo|5-EDO]]"-esque fifth | ||
|- | |- | ||
| Line 730: | Line 726: | ||
| | [[26/17|26/17]] | | | [[26/17|26/17]] | ||
| | 735.572252 | | | 735.572252 | ||
| | | | | 17u3o5 = sutho 5th | ||
| | septendecimal super-fifth | | | septendecimal super-fifth | ||
|- | |- | ||
| | [[49/32|49/32]] | | | [[49/32|49/32]] | ||
| | 737.651813 | | | 737.651813 | ||
| | | | | zz6 = zozo 6th | ||
| | superduper fifth, octave-reduced 49th harmonic | | | superduper fifth, octave-reduced 49th harmonic | ||
|- | |- | ||
| | [[20/13|20/13]] | | | [[20/13|20/13]] | ||
| | 745.786052 | | | 745.786052 | ||
| | | | | 3uy5 = thuyo 5th | ||
| | Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth | | | Barbados sixth, ratwolf wolf fifth, tridecimal semi-augmented fifth, tridecimal ultraminor sixth | ||
|- | |- | ||
| | [[17/11|17/11]] | | | [[17/11|17/11]] | ||
| | 753.637467 | | | 753.637467 | ||
| | | | | 17o1u6 = solu 6th | ||
| | septendecimal subminor sixth | | | septendecimal subminor sixth | ||
|- | |- | ||
| | [[14/9|14/9]] | | | [[14/9|14/9]] | ||
| | 764.915905 | | | 764.915905 | ||
| | | | | z6 = zo 6th | ||
| | subminor sixth, septimal minor sixth, augmented fifth | | | subminor sixth, septimal minor sixth, augmented fifth | ||
|- | |- | ||
| Line 760: | Line 756: | ||
| | [[11/7|11/7]] | | | [[11/7|11/7]] | ||
| | 782.492036 | | | 782.492036 | ||
| | | | | 1or5 = loru 5th | ||
| | undecimal subminor sixth, undecimal augmented fifth | | | undecimal subminor sixth, undecimal augmented fifth | ||
|- | |- | ||
| | 63/40 | | | 63/40 | ||
| | 786.422194 | | | 786.422194 | ||
| | | | | zg6 = zogu 6th | ||
| | | | | | ||
|- | |- | ||
| Line 780: | Line 776: | ||
| | 413/256 | | | 413/256 | ||
| | 827.997565 | | | 827.997565 | ||
| | | | | 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<span style="vertical-align: super;">-8</span> * 7 * 59) | ||
|- | |- | ||
| | [[13/8|13/8]] | | | [[13/8|13/8]] | ||
| | 840.527662 | | | 840.527662 | ||
| | | | | 3o6 = tho 6th | ||
| | tridecimal neutral sixth, octave-reduced 13th harmonic | | | tridecimal neutral sixth, octave-reduced 13th harmonic | ||
|- | |- | ||
| | [[80/49|80/49]] | | | [[80/49|80/49]] | ||
| | 848.661901 | | | 848.661901 | ||
| | | | | rry5 = ruruyo aug 5th | ||
| | (purple 6th) | |||
( | |||
|- | |- | ||
| | [[49/30|49/30]] | | | [[49/30|49/30]] | ||
| | 849.383198 | | | 849.383198 | ||
| | | | | zzg7 = zozogu 7th | ||
| | (purple 6th) | |||
( | |||
|- | |- | ||
| | [[18/11|18/11]] | | | [[18/11|18/11]] | ||
| | 852.592059 | | | 852.592059 | ||
| | | | | 1u6 = lu 6th | ||
| | undecimal neutral sixth | | | undecimal neutral sixth | ||
|- | |- | ||
| | [[28/17|28/17]] | | | [[28/17|28/17]] | ||
| | 863.870497 | | | 863.870497 | ||
| | | | | 17uz6 = suzo 6th | ||
| | septendecimal submajor sixth | | | septendecimal submajor sixth | ||
|- | |- | ||
| Line 819: | Line 811: | ||
| | [[42/25|42/25]] | | | [[42/25|42/25]] | ||
| | 898.153480 | | | 898.153480 | ||
| | | | | zgg7 = zogugu 7th | ||
| | | | | | ||
|- | |- | ||
| Line 829: | Line 821: | ||
| | [[22/13|22/13]] | | | [[22/13|22/13]] | ||
| | 910.790821 | | | 910.790821 | ||
| | | | | 3u1o6 = thulo 6th | ||
| | tridecimal major sixth | | | tridecimal major sixth | ||
|- | |- | ||
| | [[17/10|17/10]] | | | [[17/10|17/10]] | ||
| | 918.641696 | | | 918.641696 | ||
| | | | | 17og7 = sogu 7th | ||
| | septendecimal diminished seventh, septendecimal major sixth | | | septendecimal diminished seventh, septendecimal major sixth | ||
|- | |- | ||
| Line 844: | Line 836: | ||
| | [[26/15|26/15]] | | | [[26/15|26/15]] | ||
| | 952.258947 | | | 952.258947 | ||
| | | | | 3og7 = thogu 7th | ||
| | semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth | | | semitwelfth, tridecimal inframinor seventh, tridecimal ultramajor sixth | ||
|- | |- | ||
| | [[7/4|7/4]] | | | [[7/4|7/4]] | ||
| | 968.825906 | | | 968.825906 | ||
| | | | | z7 = zo 7th | ||
| | subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic | | | subminor seventh, harmonic seventh, augmented sixth, octave-reduced 7th harmonic | ||
|- | |- | ||
| Line 874: | Line 866: | ||
| | [[34/19|34/19]] | | | [[34/19|34/19]] | ||
| | 1007.442393 | | | 1007.442393 | ||
| | | | | 19u17o7 = nuso 7th | ||
| | Quasi-meantone minor seventh | | | Quasi-meantone minor seventh | ||
|- | |- | ||
| Line 884: | Line 876: | ||
| | [[29/16|29/16]] | | | [[29/16|29/16]] | ||
| | 1029.577194 | | | 1029.577194 | ||
| | | | | 29o7 = twenty-no 7th | ||
| | 29-limit large minor seventh, octave-reduced 29th harmonic | | | 29-limit large minor seventh, octave-reduced 29th harmonic | ||
|- | |- | ||
| | [[20/11|20/11]] | | | [[20/11|20/11]] | ||
| | 1034.995772 | | | 1034.995772 | ||
| | | | | 1uy7 = luyo 7th | ||
| | undecimal minor seventh, small undecimal neutral seventh | | | undecimal minor seventh, small undecimal neutral seventh | ||
|- | |- | ||
| | [[64/35|64/35]] | | | [[64/35|64/35]] | ||
| | 1044.860380 | | | 1044.860380 | ||
| | | | | rg7 = rugu 7th | ||
| | | | | | ||
|- | |- | ||
| | [[11/6|11/6]] | | | [[11/6|11/6]] | ||
| | 1049.362941 | | | 1049.362941 | ||
| | | | | 1o7 = lova 7th | ||
| | undecimal neutral seventh, 21/4-tone | | | undecimal neutral seventh, 21/4-tone | ||
|- | |- | ||
| | [[24/13|24/13]] | | | [[24/13|24/13]] | ||
| | 1061.427339 | | | 1061.427339 | ||
| | | | | 3u7 = thu 7th | ||
| | tridecimal neutral seventh | | | tridecimal neutral seventh | ||
|- | |- | ||
| | [[13/7|13/7]] | | | [[13/7|13/7]] | ||
| | 1071.701755 | | | 1071.701755 | ||
| | | | | 3or7 = thoru 7th | ||
| | 16/3-tone, tridecimal submajor seventh | | | 16/3-tone, tridecimal submajor seventh | ||
|- | |- | ||
| | [[28/15|28/15]] | | | [[28/15|28/15]] | ||
| | 1080.557192 | | | 1080.557192 | ||
| | | | | zg8 = zogu octave | ||
| | grave major seventh, octave minus a ruyo aug unison | | | grave major seventh, octave minus a ruyo aug unison | ||
|- | |- | ||
| Line 924: | Line 916: | ||
| | [[32/17|32/17]] | | | [[32/17|32/17]] | ||
| | 1095.044590 | | | 1095.044590 | ||
| | | | | 17u7 = su 7th | ||
| | small septendecimal major seventh, 8ve-reduced 17th subharmonic | | | small septendecimal major seventh, 8ve-reduced 17th subharmonic | ||
|- | |- | ||
| | [[17/9|17/9]] | | | [[17/9|17/9]] | ||
| | 1101.045408 | | | 1101.045408 | ||
| | | | | 17o8 = sova octave | ||
| | large septendecimal major seventh | | | large septendecimal major seventh | ||
|- | |- | ||
| Line 944: | Line 936: | ||
| | [[61/32|61/32]] | | | [[61/32|61/32]] | ||
| | 1116.884905 | | | 1116.884905 | ||
| | | | | 61o7 = sixty-wo 7th | ||
| | octave-reduced 61st harmonic | | | octave-reduced 61st harmonic | ||
|- | |- | ||
| Line 959: | Line 951: | ||
| | [[31/16|31/16]] | | | [[31/16|31/16]] | ||
| | 1145.035572 | | | 1145.035572 | ||
| | | | | 31o7 = thirty-wo 7th | ||
| | 31-limit ultramajor seventh, octave-reduced 31st harmonic | | | 31-limit ultramajor seventh, octave-reduced 31st harmonic | ||
|- | |- | ||
| | [[64/33|64/33]] | | | [[64/33|64/33]] | ||
| | 1146.727057 | | | 1146.727057 | ||
| | | | | 1u8 = lu octave | ||
| | octave-reduced 33rd subharmonic | | | octave-reduced 33rd subharmonic | ||
|- | |- | ||
| | [[35/18|35/18]] | | | [[35/18|35/18]] | ||
| | 1151.239619 | | | 1151.239619 | ||
| | | | | zy8 = zoyo octave | ||
| | octave minus a rugu comma | | | octave minus a rugu comma | ||
|- | |- | ||
| Line 979: | Line 971: | ||
| | [[49/25|49/25]] | | | [[49/25|49/25]] | ||
| | 1165.024385 | | | 1165.024385 | ||
| | | | | zzgg9 = double zogu 9th | ||
| | | | | | ||
|- | |- | ||
| Line 992: | Line 984: | ||
| | [[Octave|octave]], [http://en.wikipedia.org/wiki/Diapason diapason] | | | [[Octave|octave]], [http://en.wikipedia.org/wiki/Diapason diapason] | ||
|} | |} | ||
=Intervals larger than 2/1= | =Intervals larger than 2/1= | ||