Gallery of just intervals: Difference between revisions
m removed unnecessarily specific interval that was mentioned nowhere else on the wiki except for the page for the 61-limit that has a ridiculously large table of intervals, most of which are nowhere else on the wiki, furthermore, this interval has no explanation of its musical or regular temperament significance whatsoever, so for now i am removing it |
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The following is a '''gallery of many just intervals''' that contributors to this wiki have found notable. It is of course not meant to be comprehensive, and is not the result of a systematic search. | |||
Do not be intimidated by all the common names: there is no need to memorise the names. For pretty much all use cases, is perfectly acceptable - preferred, even - to just refer to an interval by its [[ratio]] (e.g. 3/2, 5/4). | |||
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 | == 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. | |||
This page lists links to dedicated pages for each interval, under the heading "frequency ratio". | |||
Said dedicated pages may 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. Readers are encouraged to add such things to the interval pages. If your contribution is unconventional, add your name or pseudonym so future readers know where the idea originated. | |||
== Gallery of just intervals == | |||
See also [[list of superparticular intervals]] and [http://www.huygens-fokker.org/docs/intervals.html List of intervals (Huygens-Fokker foundation)] | See also [[list of superparticular intervals]] and [http://www.huygens-fokker.org/docs/intervals.html List of intervals (Huygens-Fokker foundation)] | ||
{| class="wikitable sortable right-3" | |||
{| class="wikitable sortable" | |||
|- | |- | ||
! | ! Frequency Ratio | ||
! | ! Cents Value <br> (7 sig. dig.) | ||
! [[ | ! [[Sagittal notation|Sagittal <br> notation]] | ||
! [[Functional Just System|FJS | ! [[Color notation|Color Name]] | ||
! class="unsortable" | | ! [[Functional Just System|FJS Name]] | ||
! class="unsortable" | Some common names | |||
|- | |- | ||
| [[1/1]] | | [[1/1]] | ||
| 0 | | 0.000000 | ||
| <ref group=note>The [[Sagittal]] column shows a pitch-class-sensitive [[Sagittal_notation#Athenian|Athenian]] [[Sagittal_notation#Evo|Evo]] notation with 1/1 = C. A white notehead {{sagittal|nhhf|size=300%}} indicates exact notation while black {{sagittal|nhbl|size=300%}} indicates approximation (typically within 2 ¢).</ref> {{sagittal|ntChf|size=400%}}   | |||
| w1, wa unison | | w1, wa unison | ||
| P1 | | P1  <ref group=note>If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.</ref> | ||
| unity, perfect prime, Tonic | | unity, perfect prime, Tonic, unison | ||
|- | |- | ||
| [[32805/32768]] | | [[32805/32768]] | ||
| 1.953721 | | 1.953721 | ||
| Ly-2, | | {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
| Ly-2, Layoma | |||
| d-2<sup>5</sup> | | d-2<sup>5</sup> | ||
| schisma ({{Monzo|-15, 8, 1}}) | | schisma ({{Monzo|-15, 8, 1}}) | ||
|- | |||
| [[256/255]] | |||
| 6.775876 | |||
| {{sagittal| |( |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 17ug1, Suguma | |||
| P1<sub>85</sub> | |||
| charisma, charic comma, septendecimal kleisma | |||
|- | |- | ||
| [[225/224]] | | [[225/224]] | ||
| 7.711523 | | 7.711523 | ||
| ryy-2, | | {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
| ryy-2, Ruyoyoma | |||
| d-2<sup>25</sup><sub>7</sub> | | d-2<sup>25</sup><sub>7</sub> | ||
| septimal kleisma, marvel comma ({{Monzo|-5, 2, 2, -1}}) | | septimal kleisma, marvel comma ({{Monzo|-5, 2, 2, -1}}) | ||
|- | |- | ||
| [[126/125]] | | [[126/125]] | ||
| 13. | | 13.79477 | ||
| zg<sup>3</sup>2, | | {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| zg<sup>3</sup>2, Zotriguma | |||
| 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. | | 17.39948 | ||
| 1uyy1, | | {{sagittal| ~|( |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| 1uyy1, Luyoyoma | |||
| A1<sup>25</sup><sub>11</sub> | | A1<sup>25</sup><sub>11</sub> | ||
| Ptolemy's comma, ptolemisma | | Ptolemy's comma, ptolemisma | ||
|- | |- | ||
| [[99/98]] | | [[99/98]] | ||
| 17. | | 17.57613 | ||
| 1orr-2, | | {{sagittal| !( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
| 1orr-2, Loruruma | |||
| m-2<sup>11</sup><sub>49</sub> | | m-2<sup>11</sup><sub>49</sub> | ||
| mothwellsma | | mothwellsma | ||
|- | |- | ||
| 2048/2025 | | [[2048/2025]] | ||
| 19. | | 19.55257 | ||
| sgg2, | | {{sagittal| //| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| sgg2, Saguguma | |||
| d2<sub>25</sub> | | d2<sub>25</sub> | ||
| diaschisma ({{Monzo|11, -4, -2}}) | | diaschisma ({{Monzo|11, -4, -2}}) | ||
|- | |- | ||
| [[81/80]] | | [[81/80]] | ||
| 21. | | 21.50629 | ||
| g1, | | {{sagittal| /| |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| g1, Guma | |||
| 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. | | 23.46001 | ||
| LLw-2, | | {{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
| LLw-2, Lalawama | |||
| d-2 | | d-2 | ||
| Pythagorean comma, ditonic comma ({{Monzo|-19, 12}}) | | Pythagorean comma, ditonic comma ({{Monzo|-19, 12}}) | ||
|- | |- | ||
| [[66/65]] | | [[66/65]] | ||
| 26. | | 26.43157 | ||
| 3u1og1, | | {{sagittal| |) |size=300%}}{{sagittal|ntCbl|size=400%}}   | ||
| 3u1og1, Thuloguma | |||
| P1<sup>11</sup><sub>65</sub> | | P1<sup>11</sup><sub>65</sub> | ||
| winmeanma | | winmeanma | ||
|- | |- | ||
| [[65/64]] | | [[65/64]] | ||
| 26. | | 26.84138 | ||
| 3oy1, | | {{sagittal| |) |size=300%}}{{sagittal|ntCbl|size=400%}}   | ||
| 3oy1, Thoyoma | |||
| P1<sup>65</sup> | | P1<sup>65</sup> | ||
| wilsorma, 13th-partial chroma | | wilsorma, 13th-partial chroma | ||
|- | |- | ||
| [[64/63]] | | [[64/63]] | ||
| 27. | | 27.26409 | ||
| r1, | | {{sagittal| |) |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| r1, Ruma | |||
| P1<sub>7</sub> | | P1<sub>7</sub> | ||
| septimal comma, Archytas' comma | | septimal comma, Archytas' comma | ||
|- | |- | ||
| [[3125/3072]] | | [[3125/3072]] | ||
| 29. | | 29.61357 | ||
| Ly<span style="vertical-align: super;">5</span>-2, | | {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
| Ly<span style="vertical-align: super;">5</span>-2, Laquinyoma | |||
| 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. | | 34.97562 | ||
| rryy-2, | | {{sagittal| )|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
| rryy-2, Biruyoma | |||
| d-2<sup>25</sup><sub>49</sub> | | d-2<sup>25</sup><sub>49</sub> | ||
| septimal sixth-tone, | | small septimal diesis, small septimal sixth-tone, septimal tritonic diesis, jubilisma | ||
|- | |- | ||
| [[49/48]] | | [[49/48]] | ||
| 35. | | 35.69681 | ||
| zz2, | | {{sagittal| \!/ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| zz2, Zozoma | |||
| m2<sup>49</sup> | | m2<sup>49</sup> | ||
| large septimal diesis, slendro diesis | | large septimal diesis, large septimal sixth-tone, slendro diesis, semaphoresma | ||
|- | |- | ||
| [[45/44]] | | [[45/44]] | ||
| 38. | | 38.90577 | ||
| 1uy1, | | {{sagittal|(|(|size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| 1uy1, Luyoma | |||
| A1<sup>5</sup><sub>11</sub> | | A1<sup>5</sup><sub>11</sub> | ||
| undecimal 1/ | | undecimal 1/5 tone | ||
|- | |- | ||
| [[128/125]] | | [[128/125]] | ||
| 41. | | 41.05886 | ||
| g<span style="vertical-align: super;">3</span>2, | | {{sagittal| (|\ |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| g<span style="vertical-align: super;">3</span>2, Triguma | |||
| 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. | | 43.40834 | ||
| Lzyy1, | | {{sagittal| //| |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| Lzyy1, Lazoyoyoma | |||
| A1<sup>175</sup> | | A1<sup>175</sup> | ||
| Avicenna's enharmonic diesis, avicennma ({{Monzo|-9, 1, 2, 1}}) | | Avicenna's enharmonic diesis, avicennma ({{Monzo|-9, 1, 2, 1}}) | ||
|- | |- | ||
| [[1053/1024]] | | [[1053/1024]] | ||
| 48. | | 48.34767 | ||
| L3o1, | | {{sagittal| (!/ |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| L3o1, Lathoma | |||
| P1<sup>13</sup> | | P1<sup>13</sup> | ||
| tridecimal quartertone, tridecimal comma | | tridecimal quartertone, tridecimal flattone comma | ||
|- | |- | ||
| [[36/35]] | | [[36/35]] | ||
| 48. | | 48.77038 | ||
| rg1, | | {{sagittal| /|) |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| rg1, Ruguma | |||
| P1<sub>35</sub> | | P1<sub>35</sub> | ||
| septimal quarter tone, double comma | | septimal quarter tone, double comma | ||
|- | |- | ||
| [[250/243]] | | [[250/243]] | ||
| 49. | | 49.16614 | ||
| y<span style="vertical-align: super;">3</span>1, | | {{sagittal| (!/ |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntCbl|size=400%}}   | ||
| y<span style="vertical-align: super;">3</span>1, Triyoma | |||
| 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. | | 50.72410 | ||
| Lr-2, | | {{sagittal| |) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
| Lr-2, Laruma | |||
| 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. | | 52.73202 | ||
| {{sagittal| (!) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntCbl|size=400%}}   | |||
| 97uyy1, ninety-suyoyo unison | | 97uyy1, ninety-suyoyo unison | ||
| A1<sup>25</sup><sub>97</sub> | | A1<sup>25</sup><sub>97</sub> | ||
| Line 164: | Line 195: | ||
|- | |- | ||
| [[33/32]] | | [[33/32]] | ||
| 53. | | 53.27294 | ||
| {{sagittal| /|\ |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 1o1, ilo unison | | 1o1, ilo unison | ||
| P1<sup>11</sup> | | P1<sup>11</sup> | ||
| Line 170: | Line 202: | ||
|- | |- | ||
| [[648/625]] | | [[648/625]] | ||
| 62. | | 62.56515 | ||
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDbl|size=400%}}   | |||
| 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> | ||
| Line 176: | Line 209: | ||
|- | |- | ||
| [[28/27]] | | [[28/27]] | ||
| 62. | | 62.96090 | ||
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| z2, zo 2nd | | z2, zo 2nd | ||
| m2<sup>7</sup> | | m2<sup>7</sup> | ||
| | | septimal third-tone, subminor second, septimal minor second | ||
|- | |- | ||
| [[27/26]] | | [[27/26]] | ||
| 65. | | 65.33734 | ||
| {{sagittal| (|\ |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 3u1, thu unison | | 3u1, thu unison | ||
| A1<sub>13</sub> | | A1<sub>13</sub> | ||
| Line 188: | Line 223: | ||
|- | |- | ||
| [[26/25]] | | [[26/25]] | ||
| 67. | | 67.90023 | ||
| {{sagittal| \! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 3ogg2, thogugu 2nd | | 3ogg2, thogugu 2nd | ||
| d2<sup>13</sup><sub>25</sub> | | d2<sup>13</sup><sub>25</sub> | ||
| Line 194: | Line 230: | ||
|- | |- | ||
| [[25/24]] | | [[25/24]] | ||
| 70. | | 70.67243 | ||
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| yy1, yoyo unison | | yy1, yoyo unison | ||
| A1<sup>25</sup> | | A1<sup>25</sup> | ||
| Line 200: | Line 237: | ||
|- | |- | ||
| [[24/23]] | | [[24/23]] | ||
| 73. | | 73.68065 | ||
| {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 23u1, twethu unison | | 23u1, twethu unison | ||
| m2<sub>23</sub> | | m2<sub>23</sub> | ||
| lesser vicesimotertial semitone | | lesser vicesimotertial semitone | ||
|- | |||
|[[23/22]] | |||
|76.95641 | |||
| {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|23o1u2, twetholu 2nd | |||
|A1<sup>23</sup><sub>11</sub> | |||
|greater vicesimotertial semitone | |||
|- | |- | ||
| [[68/65]] | | [[68/65]] | ||
| 78. | | 78.11403 | ||
| {{sagittal| )!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 17o3ug2, sothugu 2nd | | 17o3ug2, sothugu 2nd | ||
| m2<sup>17</sup><sub>65</sub> | | m2<sup>17</sup><sub>65</sub> | ||
| Line 212: | Line 258: | ||
|- | |- | ||
| [[22/21]] | | [[22/21]] | ||
| 80. | | 80.53704 | ||
| {{sagittal| (! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 1or1, loru unison | | 1or1, loru unison | ||
| P1<sup>11</sup><sub>7</sub> | | P1<sup>11</sup><sub>7</sub> | ||
| Line 218: | Line 265: | ||
|- | |- | ||
| [[64/61]] | | [[64/61]] | ||
| 83. | | 83.11520 | ||
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDbl|size=400%}}   | |||
| 61u2, siwu 2nd | | 61u2, siwu 2nd | ||
| m2<sub>61</sub> | | m2<sub>61</sub> | ||
| Line 224: | Line 272: | ||
|- | |- | ||
| [[21/20]] | | [[21/20]] | ||
| 84. | | 84.46719 | ||
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| zg2, zogu 2nd | | zg2, zogu 2nd | ||
| m2<sup>7</sup><sub>5</sub> | | m2<sup>7</sup><sub>5</sub> | ||
| minor semitone | | septimal chromatic semitone, aberschismic diatonic semitone, minor diatonic semitone | ||
|- | |- | ||
| [[20/19]] | | [[20/19]] | ||
| 88. | | 88.80070 | ||
| {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 19uy1, nuyo unison | | 19uy1, nuyo unison | ||
| A1<sup>5</sup><sub>19</sub> | | A1<sup>5</sup><sub>19</sub> | ||
| Line 236: | Line 286: | ||
|- | |- | ||
| [[256/243]] | | [[256/243]] | ||
| 90. | | 90.22500 | ||
| sw2, | | {{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| sw2, sawa 2nd | |||
| m2 | | m2 | ||
| Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ({{ | | Pythagorean limma, Pythagorean diatonic semitone, Pythagorean minor second ({{monzo| 8 -5 }}) | ||
|- | |- | ||
| [[135/128]] | | [[135/128]] | ||
| 92. | | 92.17872 | ||
| {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| Ly1, layo unison | | Ly1, layo unison | ||
| A1<sup>5</sup> | | A1<sup>5</sup> | ||
| Line 248: | Line 300: | ||
|- | |- | ||
| [[19/18]] | | [[19/18]] | ||
| 93. | | 93.60301 | ||
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 19o2, ino 2nd | | 19o2, ino 2nd | ||
| m2<sup>19</sup> | | m2<sup>19</sup> | ||
| Line 254: | Line 307: | ||
|- | |- | ||
| [[18/17]] | | [[18/17]] | ||
| 98. | | 98.95459 | ||
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 17u1, su unison | | 17u1, su unison | ||
| A1<sub>17</sub> | | A1<sub>17</sub> | ||
| Line 260: | Line 314: | ||
|- | |- | ||
| [[17/16]] | | [[17/16]] | ||
| 104. | | 104.9554 | ||
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 17o2, iso 2nd | | 17o2, iso 2nd | ||
| m2<sup>17</sup> | | m2<sup>17</sup> | ||
| Line 266: | Line 321: | ||
|- | |- | ||
| [[16/15]] | | [[16/15]] | ||
| 111. | | 111.7313 | ||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| g2, gu 2nd | | g2, gu 2nd | ||
| m2<sub>5</sub> | | m2<sub>5</sub> | ||
| Line 272: | Line 328: | ||
|- | |- | ||
| [[2187/2048]] | | [[2187/2048]] | ||
| 113. | | 113.6850 | ||
| Lw1, | | {{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| Lw1, lawa unison | |||
| A1 | | A1 | ||
| apotome, Pythagorean chromatic semitone, Pythagorean augmented unison ({{ | | Pythagorean apotome, Pythagorean chromatic semitone, Pythagorean augmented unison ({{monzo| -11 7 }}) | ||
|- | |- | ||
| [[77/72]] | | [[77/72]] | ||
| 116. | | 116.2338 | ||
| {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 1oz2, lozo 2nd | | 1oz2, lozo 2nd | ||
| m2<sup>77</sup> | | m2<sup>77</sup> | ||
| Line 284: | Line 342: | ||
|- | |- | ||
| [[15/14]] | | [[15/14]] | ||
| 119. | | 119.4428 | ||
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 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, aberschismic chromatic semitone, major chromatic semitone | ||
|- | |- | ||
| [[14/13]] | | [[14/13]] | ||
| 128. | | 128.2982 | ||
| {{sagittal| (|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 3uz2, thuzo 2nd | | 3uz2, thuzo 2nd | ||
| M2<sup>7</sup><sub>13</sub> | | M2<sup>7</sup><sub>13</sub> | ||
| Line 296: | Line 356: | ||
|- | |- | ||
| [[27/25]] | | [[27/25]] | ||
| 133. | | 133.2376 | ||
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| gg2, gugu 2nd | | gg2, gugu 2nd | ||
| m2<sub>25</sub> | | m2<sub>25</sub> | ||
| Line 302: | Line 363: | ||
|- | |- | ||
| [[13/12]] | | [[13/12]] | ||
| 138. | | 138.5727 | ||
| {{sagittal| (!/ |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 3o2, tho 2nd | | 3o2, tho 2nd | ||
| m2<sup>13</sup> | | m2<sup>13</sup> | ||
| Line 308: | Line 370: | ||
|- | |- | ||
| [[243/224]] | | [[243/224]] | ||
| 140. | | 140.9491 | ||
| Lr1, | | {{sagittal| |) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| Lr1, laru 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]] | ||
| 143. | | 143.4980 | ||
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 1o2, ilo 2nd | | 1o2, ilo 2nd | ||
| m2<sup>11</sup> | | m2<sup>11</sup> | ||
| undecimal subtone | | undecimal subtone | ||
|- | |||
| [[25/23]] | |||
| 144.3531 | |||
| {{sagittal| (!) |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 23uyy1, twethuyoyo unison | |||
| M2<sup>5,5</sup><sub>23</sub> | |||
| small vicesimotertial neutral second | |||
|- | |- | ||
| [[49/45]] | | [[49/45]] | ||
| 147. | | 147.4281 | ||
| {{sagittal| (! |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| zzg3, zozogu 3rd | | zzg3, zozogu 3rd | ||
| d3<sup>49</sup><sub>5</sub> | | d3<sup>49</sup><sub>5</sub> | ||
| Line 326: | Line 398: | ||
|- | |- | ||
| [[12/11]] | | [[12/11]] | ||
| 150. | | 150.6371 | ||
| {{sagittal| \!/ |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 1u2, lu 2nd | | 1u2, lu 2nd | ||
| M2<sub>11</sub> | | M2<sub>11</sub> | ||
| Line 332: | Line 405: | ||
|- | |- | ||
| [[35/32]] | | [[35/32]] | ||
| 155. | | 155.1396 | ||
| {{sagittal| \!) |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| zy2, zoyo 2nd | | zy2, zoyo 2nd | ||
| M2<sup>35</sup> | | M2<sup>35</sup> | ||
| septimal neutral second | | septimal neutral second | ||
|- | |||
|[[23/21]] | |||
|157.4934 | |||
| {{sagittal| //| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|23or2, twethoru 2nd | |||
|A1<sup>23</sup><sub>7</sub> | |||
|large vicesimotertial neutral second | |||
|- | |- | ||
| [[78/71]] | | [[78/71]] | ||
| 162. | | 162.7861 | ||
| {{sagittal| \\! |size=300%}}{{sagittal|ntDbl|size=400%}}   | |||
| 71u3o2, seventy-wutho 2nd | | 71u3o2, seventy-wutho 2nd | ||
| m2<sup>13</sup><sub>71</sub> | | m2<sup>13</sup><sub>71</sub> | ||
| Line 344: | Line 426: | ||
|- | |- | ||
| [[11/10]] | | [[11/10]] | ||
| 165. | | 165.0042 | ||
| {{sagittal| (!( |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 1og2, logu 2nd | | 1og2, logu 2nd | ||
| m2<sup>11</sup><sub>5</sub> | | m2<sup>11</sup><sub>5</sub> | ||
| Line 350: | Line 433: | ||
|- | |- | ||
| [[54/49]] | | [[54/49]] | ||
| 168. | | 168.2132 | ||
| {{sagittal| /|\ |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| rr1, ruru unison | | rr1, ruru unison | ||
| A1<sub>49</sub> | | A1<sub>49</sub> | ||
| Zalzal's mujannab | | Zalzal's mujannab | ||
|- | |||
| [[21/19]] | |||
| 173.2679 | |||
| {{sagittal| (! |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 19uz2, nuzo 2nd | |||
| M2<sup>7</sup><sub>19</sub> | |||
| large neutral undevicesimal second | |||
|- | |- | ||
| [[10/9]] | | [[10/9]] | ||
| 182. | | 182.4037 | ||
| {{sagittal| \! |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| y2, yo 2nd | | y2, yo 2nd | ||
| M2<sup>5</sup> | | M2<sup>5</sup> | ||
| Line 362: | Line 454: | ||
|- | |- | ||
| [[49/44]] | | [[49/44]] | ||
| 186. | | 186.3339 | ||
| {{sagittal| |( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| 1uzz3, luzozo 3rd | | 1uzz3, luzozo 3rd | ||
|m3<sup>49</sup><sub>11</sub> | | m3<sup>49</sup><sub>11</sub> | ||
| | | mothwellsmic major second | ||
|- | |||
| [[39/35]] | |||
| 187.3430 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 3org2, thorugu 2nd | |||
| m2<sup>13</sup><sub>35</sub> | |||
| animist major second | |||
|- | |- | ||
| [[6272/5625]] | | [[6272/5625]] | ||
| 188. | | 188.4870 | ||
| szzg<sup>4</sup>4, | | {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| szzg<sup>4</sup>4, sabizogugu 4th | |||
| ddd4<sup>49</sup><sub>625</sub> | | ddd4<sup>49</sup><sub>625</sub> | ||
| double marvelous second, double marvelous (whole) tone | | double marvelous second, double marvelous (whole) tone | ||
|- | |- | ||
| [[19/17]] | | [[19/17]] | ||
| 192. | | 192.5576 | ||
| {{sagittal| )!( |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 19o17u2, nosu 2nd | | 19o17u2, nosu 2nd | ||
|M2<sup>19</sup><sub>17</sub> | | M2<sup>19</sup><sub>17</sub> | ||
|quasi-meantone | | quasi-meantone | ||
|- | |- | ||
|[[28/25]] | | [[28/25]] | ||
|196. | | 196.1985 | ||
| {{sagittal| ~|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| zgg3, zogugu 3rd | | zgg3, zogugu 3rd | ||
|d3<sup>7</sup><sub>25</sub> | | d3<sup>7</sup><sub>25</sub> | ||
|middle major second | | middle major second | ||
|- | |- | ||
|[[55/49]] | | [[55/49]] | ||
|199. | | 199.9798 | ||
| {{sagittal| !) |size=300%}}{{sagittal| x |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 1orry1, loruruyo unison | | 1orry1, loruruyo unison | ||
|A1<sup>55</sup><sub>49</sub> | | A1<sup>55</sup><sub>49</sub> | ||
|werckismic tone | | werckismic major second | ||
|- | |||
| [[64/57]] | |||
| 200.5320 | |||
| {{sagittal| !( |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 19u2, inu 2nd | |||
| M2<sub>19</sub> | |||
| quasi-tempered whole tone, octave-reduced 57th subharmonic | |||
|- | |||
| [[9/8]] | |||
| 203.9100 | |||
| {{sagittal|ntDhf|size=400%}}   | |||
| w2, wa 2nd | |||
| M2 | |||
| Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic | |||
|- | |||
| [[26/23]] | |||
| 212.2533 | |||
| {{sagittal| (| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| 23u3o2, twethutho 2nd | |||
| d3<sup>13</sup><sub>23</sub> | |||
| vicesimotertial whole tone | |||
|- | |||
| [[17/15]] | |||
| 216.6867 | |||
| {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| 17og3, sogu 3rd | |||
| d3<sup>17</sup><sub>5</sub> | |||
| septendecimal whole tone, septendecimal eventone | |||
|- | |- | ||
|[[ | | [[25/22]] | ||
| | | 221.3095 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| | | 1uyy2, luyoyo 2nd | ||
| | | A2<sup>25</sup><sub>11</sub> | ||
| ptolemismic whole tone, undecimal acute whole tone | |||
|- | |- | ||
|[[ | | [[729/640]] | ||
| | | 225.4163 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
|M2 | | Lg2, lagu 2nd | ||
| | | M2<sub>5</sub> | ||
| acute whole tone | |||
|- | |- | ||
|[[ | | [[57/50]] | ||
| | | 226.8406 | ||
| | | {{sagittal| /|) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|d3<sup> | | 19ogg3, nogugu 3rd | ||
| | | d3<sup>19</sup><sub>25</sub> | ||
| devichromic supermajor second | |||
|- | |- | ||
|[[8/7]] | | [[8/7]] | ||
|231. | | 231.1741 | ||
|r2, ru 2nd | | {{sagittal| |) |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| 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 | ||
|- | |- | ||
|[[63/55]] | | [[63/55]] | ||
|235. | | 235.1043 | ||
|1uzg3, luzogu 3rd | | {{sagittal| (!) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|m3<sup>7</sup><sub>55</sub> | | 1uzg3, luzogu 3rd | ||
|werckismic supermajor second | | m3<sup>7</sup><sub>55</sub> | ||
| werckismic supermajor second | |||
|- | |||
| [[55/48]] | |||
| 235.6767 | |||
| {{sagittal| (| |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 1oy2, loyo 2nd | |||
| M2<sup>55</sup> | |||
| keenanismic supermajor second | |||
|- | |- | ||
|[[ | | [[224/195]] | ||
| | | 240.0295 | ||
| | | {{sagittal| (|) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | 3uzg3, thuzogu 3rd | ||
| | | m3<sup>7</sup><sub>65</sub> | ||
| quasi-tempered 1/5-octave, "5EDO"-esque tone | |||
|- | |- | ||
|[[ | | [[23/20]] | ||
| | | 241.9606 | ||
| | | {{sagittal| (|( |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| | | 23og3, twethogu 3rd | ||
| | | M2<sup>23</sup><sub>5</sub> | ||
| vicesimotertial inframinor third, vicesimotertial ultramajor second, vicesimotertial semifourth | |||
|- | |- | ||
| | | [[15/13]] | ||
| | | 247.7411 | ||
| | | {{sagittal| //| |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| | | 3uy2, thuyo 2nd | ||
| | | A2<sup>5</sup><sub>13</sub> | ||
| tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third | |||
|- | |- | ||
|[[ | | [[97/84]] | ||
| | | 249.1145 | ||
| | | {{sagittal| //| |size=300%}}{{sagittal|ntDbl|size=400%}}   | ||
|M2<sub> | | 97or2, ninety-soru 2nd | ||
| | | M2<sup>97</sup><sub>7</sub> | ||
| homothetic semifourth | |||
|- | |- | ||
|[[ | | [[81/70]] | ||
| | | 252.2680 | ||
| | | {{sagittal| /|) |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
|M2 | | rg2, rugu 2nd | ||
| | | M2<sub>35</sub> | ||
| septimal semi-augmented second, septimal ultramajor second | |||
|- | |- | ||
|[[64/55]] | | [[22/19]] | ||
|262. | | 253.8049 | ||
|1ug3, lugu 3rd | | {{sagittal| /|) |size=300%}}{{sagittal|ntDbl|size=400%}}   | ||
|m3<sub>55</sub> | | 19u1o2, nulo 2nd | ||
| M2<sup>11</sup><sub>19</sub> | |||
| undevicesimal semifourth, minimal minor third, godzilla semifourth | |||
|- | |||
| [[64/55]] | |||
| 262.3683 | |||
| {{sagittal| (! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| 1ug3, lugu 3rd | |||
| m3<sub>55</sub> | |||
| keenanismic subminor third, octave-reduced 55th subharmonic | | keenanismic subminor third, octave-reduced 55th subharmonic | ||
|- | |- | ||
|[[7/6]] | | [[7/6]] | ||
|266. | | 266.8709 | ||
|z3, zo 3rd | | {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|m3<sup>7</sup> | | z3, zo 3rd | ||
|subminor third, septimal minor third | | m3<sup>7</sup> | ||
| subminor third, septimal minor third | |||
|- | |||
| [[90/77]] | |||
| 270.0799 | |||
| {{sagittal| \!) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 1ury2, luruyo 2nd | |||
| A2<sup>5</sup><sub>77</sub> | |||
| swetismic subminor third | |||
|- | |- | ||
|[[ | | [[62/53]] | ||
| | | 271.5310 | ||
| | | {{sagittal| \! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | 53u31o2, fithu-thiwo 2nd | ||
| | | M2<sup>31</sup><sub>53</sub> | ||
| orwell subminor third | |||
|- | |- | ||
|[[ | | [[75/64]] | ||
| | | 274.5824 | ||
| | | {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| | | yy2, yoyo 2nd | ||
| | | A2<sup>25</sup> | ||
| classic augmented second | |||
|- | |- | ||
|[[ | | [[27/23]] | ||
| | | 277.5907 | ||
| | | {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | twethu 2nd, 23u2 | ||
| | | m3<sub>23</sub> | ||
| vicesimotertial augmented second | |||
|- | |- | ||
|[[20/17]] | | [[20/17]] | ||
|281. | | 281.3583 | ||
|17uy2, suyo 2nd | | {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
|A2<sup>5</sup><sub>17</sub> | | 17uy2, suyo 2nd | ||
|septendecimal augmented second, septendecimal minor third | | A2<sup>5</sup><sub>17</sub> | ||
| septendecimal augmented second, septendecimal minor third, diatismic minor third | |||
|- | |- | ||
|[[13/11]] | | [[13/11]] | ||
|289. | | 289.2097 | ||
|3o1u3, tholu 3rd | | {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|m3<sup>13</sup><sub>11</sub> | | 3o1u3, tholu 3rd | ||
| m3<sup>13</sup><sub>11</sub> | |||
| tridecimal minor third | | tridecimal minor third | ||
|- | |- | ||
|[[32/27]] | | [[45/38]] | ||
|294. | | 292.7107 | ||
|w3, wa 3rd | | {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
|m3 | | 19uy2, nuyo 2nd | ||
|Pythagorean minor third, octave-reduced 27th subharmonic | | A2<sup>5</sup><sub>19</sub> | ||
| Eratosthenes' minor third | |||
|- | |||
| [[32/27]] | |||
| 294.1350 | |||
| {{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| w3, wa 3rd | |||
| m3 | |||
| Pythagorean minor third, octave-reduced 27th subharmonic | |||
|- | |- | ||
|[[19/16]] | | [[19/16]] | ||
|297. | | 297.5130 | ||
|19o3, ino 3rd | | {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|m3<sup>19</sup> | | 19o3, ino 3rd | ||
|otonal minor third, octave-reduced 19th harmonic | | m3<sup>19</sup> | ||
| otonal minor third, octave-reduced 19th harmonic | |||
|- | |- | ||
|[[ | | [[289/243]] | ||
| | | 300.1358 | ||
| | | {{sagittal| (| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | 17oo4, soso 4th | ||
|quasi-tempered minor third | | dd4<sup>17, 17</sup> | ||
| semitonismic quasi-tempered minor third | |||
|- | |- | ||
|[[ | | [[25/21]] | ||
| | | 301.8465 | ||
| | | {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
|A2<sup> | | ryy2, ruyoyo 2nd | ||
| | | A2<sup>25</sup><sub>7</sub> | ||
| quasi-tempered minor third | |||
|- | |- | ||
|[[ | | [[61/51]] | ||
| | | 309.9744 | ||
| | | {{sagittal| )!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDbl|size=400%}}   | ||
| | | 61o17u2, siwosu 2nd | ||
| | | A2<sup>61</sup><sub>17</sub> | ||
| myna third | |||
|- | |- | ||
|[[ | | [[6/5]] | ||
| | | 315.6413 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|m3< | | g3, gu 3rd | ||
| | | m3<sub>5</sub> | ||
| classic minor third, just minor third | |||
|- | |- | ||
|[[135/112]] | | [[77/64]] | ||
|323. | | 320.1438 | ||
|ry2, ruyo 2nd | | {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|A2<sup>5</sup><sub>7</sub> | | 1oz3, lozo 3rd | ||
| m3<sup>77</sup> | |||
| keenanismic minor third, octave-reduced 77th harmonic | |||
|- | |||
| [[135/112]] | |||
| 323.3528 | |||
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| ry2, ruyo 2nd | |||
| A2<sup>5</sup><sub>7</sub> | |||
| 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]] | ||
|325. | | 325.5624 | ||
|29uzy3, twenuzoyo 3rd | | {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|M3<sup>35</sup><sub>29</sub> | | 29uzy3, twenuzoyo 3rd | ||
| M3<sup>35</sup><sub>29</sub> | |||
| doublewide minor third | | doublewide minor third | ||
|- | |- | ||
|[[23/19]] | | [[23/19]] | ||
|330. | | 330.7613 | ||
|23o19u3, twethonu 3rd | | {{sagittal| )|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
|A2<sup>23</sup><sub>19</sub> | | 23o19u3, twethonu 3rd | ||
|vicesimotertial supraminor third | | A2<sup>23</sup><sub>19</sub> | ||
| vicesimotertial supraminor third | |||
|- | |||
| [[17/14]] | |||
| 336.1295 | |||
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEbl|size=400%}}   | |||
| 17or3, soru 3rd | |||
| m3<sup>17</sup><sub>5</sub> | |||
| septendecimal supraminor third | |||
|- | |- | ||
|[[ | | [[175/144]] | ||
| | | 337.5433 | ||
| | | {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | zyy3, zoyoyo 3rd | ||
| | | M3<sup>5,5,7</sup> | ||
| keemic minor third | |||
|- | |- | ||
|[[73/60]] | | [[73/60]] | ||
|339. | | 339.5208 | ||
|73og3, seventy-thogu 3rd | | {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEbl|size=400%}}   | ||
|m3<sup>73</sup><sub>5</sub> | | 73og3, seventy-thogu 3rd | ||
| m3<sup>73</sup><sub>5</sub> | |||
| amity supraminor third | | amity supraminor third | ||
|- | |- | ||
|[[39/32]] | | [[28/23]] | ||
| 342. | | 340.5516 | ||
|3o3, tho 3rd | | {{sagittal| \\! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|m3<sup>13</sup> | | 23uz3, twethuzo 3rd | ||
|lesser tridecimal neutral third, octave-reduced 39th harmonic | | d4<sup>7</sup><sub>23</sub> | ||
| vicesimotertial neutral third | |||
|- | |||
| [[39/32]] | |||
| 342.4827 | |||
| {{sagittal| (!/ |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| 3o3, tho 3rd | |||
| m3<sup>13</sup> | |||
| lesser tridecimal neutral third, octave-reduced 39th harmonic | |||
|- | |- | ||
|[[625/512]] | | [[128/105]] | ||
|345. | | 342.9054 | ||
|Ly<sup>4</sup>2, | | {{sagittal| /|) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| rg3, rugu 3rd | |||
| m3<sub>35</sub> | |||
| quasi-tempered 2/7-octave, 105th subharmonic | |||
|- | |||
| [[625/512]] | |||
| 345.2549 | |||
| {{sagittal| |) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| Ly<sup>4</sup>2, laquadyo 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. | | 347.4079 | ||
|1o3, ilo 3rd | | {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| 1o3, ilo 3rd | |||
| m3<sup>11</sup> | | m3<sup>11</sup> | ||
|undecimal neutral third | | undecimal neutral third | ||
|- | |- | ||
|[[60/49]] | | [[60/49]] | ||
|350. | | 350.6169 | ||
|rry2, ruruyo 2nd | | {{sagittal| (| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
|A2<sup>5</sup><sub>49</sub> | | rry2, ruruyo 2nd | ||
|smaller septimal neutral third, (purple 3rd) | | A2<sup>5</sup><sub>49</sub> | ||
| smaller septimal neutral third, (purple 3rd) | |||
|- | |- | ||
|[[49/40]] | | [[49/40]] | ||
|351. | | 351.3381 | ||
| {{sagittal| (! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| zzg4, zozogu 4th | | zzg4, zozogu 4th | ||
|d4<sup>49</sup><sub>5</sub> | | d4<sup>49</sup><sub>5</sub> | ||
|larger septimal neutral third, (purple 3rd) | | larger septimal neutral third, (purple 3rd) | ||
|- | |- | ||
|[[27/22]] | | [[27/22]] | ||
|354. | | 354.5471 | ||
|1u3, lu 3rd | | {{sagittal| \!/ |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|M3<sub>11</sub> | | 1u3, lu 3rd | ||
|rastmic neutral third | | M3<sub>11</sub> | ||
| rastmic neutral third | |||
|- | |- | ||
|[[16/13]] | | [[16/13]] | ||
| 359. | | 359.4723 | ||
|3u3, thu 3rd | | {{sagittal| (|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|M3<sub>13</sub> | | 3u3, thu 3rd | ||
|greater tridecimal neutral third, octave reduced 13subharmonic | | M3<sub>13</sub> | ||
| greater tridecimal neutral third, octave reduced 13subharmonic | |||
|- | |- | ||
|[[21/17]] | |[[21/17]] | ||
|365. | |365.8255 | ||
| {{sagittal| \\! |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
|17uz3, suzo 3rd | |17uz3, suzo 3rd | ||
|M3<sup>7</sup><sub>17</sub> | |M3<sup>7</sup><sub>17</sub> | ||
|septendecimal submajor third | |septendecimal submajor third | ||
|- | |- | ||
|51/41 | |[[26/21]] | ||
|377. | |369.7468 | ||
| {{sagittal| (!( |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
|thoru 3rd, 3or3 | |||
|m3<sup>13</sup><sub>7</sub> | |||
|tridecimal submajor third | |||
|- | |||
|[[51/41]] | |||
|377.8480 | |||
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFbl|size=400%}}   | |||
|41u17o4, fowuso 4th | |41u17o4, fowuso 4th | ||
|d4<sup>17</sup><sub>41</sub> | |d4<sup>17</sup><sub>41</sub> | ||
| | | | ||
|- | |- | ||
|[[56/45]] | |[[56/45]] | ||
|378. | |378.6022 | ||
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
|zg4, zogu 4th | |zg4, zogu 4th | ||
|d4<sup>7</sup><sub>5</sub> | |d4<sup>7</sup><sub>5</sub> | ||
|narrow perde segah, marvelous major third | |narrow perde segah, marvelous major third | ||
|- | |- | ||
|[[71/57]] | | [[71/57]] | ||
|380. | | 380.2285 | ||
|71o19u3, seventy-wonu 3rd | | {{sagittal| !) |size=300%}}{{sagittal|ntEbl|size=400%}}   | ||
|M3<sup>71</sup><sub>19</sub> | | 71o19u3, seventy-wonu 3rd | ||
| M3<sup>71</sup><sub>19</sub> | |||
| witchcraft major third | | witchcraft major third | ||
|- | |- | ||
|[[76/61]] | | [[76/61]] | ||
|380. | | 380.6282 | ||
|61u19o4, siwuno 4th | | {{sagittal| b |size=300%}}{{sagittal|ntFbl|size=400%}}   | ||
|d4<sup>19</sup><sub>61</sub> | | 61u19o4, siwuno 4th | ||
|magic major third | | d4<sup>19</sup><sub>61</sub> | ||
| magic major third | |||
|- | |||
| [[96/77]] | |||
| 381.8112 | |||
| {{sagittal| !) |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| 1ur3, luru 3rd | |||
| M3<sub>77</sub> | |||
| undecimal perde segah, keenanismic major third | |||
|- | |||
| [[5/4]] | |||
| 386.3137 | |||
| {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| y3, yo 3rd | |||
| M3<sup>5</sup> | |||
| classic major third, just major third, octave-reduced 5th harmonic | |||
|- | |||
| [[44/35]] | |||
| 396.1783 | |||
| {{sagittal| )!( |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| 1org3, lorugu 3rd | |||
| n3<sup>11</sup><sub>5,7</sub> | |||
| fwiwismic major third | |||
|- | |- | ||
|[[ | | [[161/128]] | ||
| | | 397.1003 | ||
| | | {{sagittal| )!( |size=300%}}{{sagittal|ntEbl|size=400%}}   | ||
|M3< | | 23oz4, twethozo 4th | ||
| | | M3<sup>161</sup> | ||
| just/Pythagorean major third meantone, octave-reduced 161th harmonic | |||
|- | |- | ||
|[[ | | [[34/27]] | ||
| | | 399.0904 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFbl|size=400%}}   | ||
| | | 17o4, iso 4th | ||
| | | d4<sup>17</sup> | ||
| septendecimal quasi-tempered major third | |||
|- | |- | ||
|[[ | | [[63/50]] | ||
| | | 400.1085 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | zgg4, zogugu 4th | ||
| | | d4<sup>7</sup><sub>25</sub> | ||
| quasi-tempered major third | |||
|- | |- | ||
|[[ | | [[24/19]] | ||
|400 | | 404.4420 | ||
| | | {{sagittal| !( |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | 19u3, inu 3rd | ||
| | | M3<sub>19</sub> | ||
| Boethius' major third | |||
|- | |- | ||
|[[81/64]] | | [[81/64]] | ||
|407. | | 407.8200 | ||
|Lw3, | | {{sagittal|ntEhf|size=400%}}   | ||
|M3 | | Lw3, lawa 3rd | ||
|Pythagorean major third, octave-reduced 81st harmonic | | M3 | ||
| Pythagorean major third, octave-reduced 81st harmonic | |||
|- | |- | ||
|[[33/26]] | | [[19/15]] | ||
|412. | | 409.2443 | ||
|3u1o3, thulo 3rd | | {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|M3<sup>11</sup><sub>13</sub> | | 19og4, nogu 4th | ||
| d4<sup>19</sup><sub>5</sub> | |||
| Eratosthenes' major third | |||
|- | |||
| [[33/26]] | |||
| 412.7453 | |||
| {{sagittal| |( |size=300%}}{{sagittal|ntEbl|size=400%}}   | |||
| 3u1o3, thulo 3rd | |||
| M3<sup>11</sup><sub>13</sub> | |||
| tridecimal major third | | tridecimal major third | ||
|- | |- | ||
|[[80/63]] | | [[80/63]] | ||
|413. | | 413.5778 | ||
|ry3, ruyo 3rd | | {{sagittal| |( |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|M3<sup>5</sup><sub>7</sub> | | ry3, ruyo 3rd | ||
| | | M3<sup>5</sup><sub>7</sub> | ||
| 5/7-kleismic major third | |||
|- | |||
| [[14/11]] | |||
| 417.5080 | |||
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 1uz4, luzo 4th | |||
| P4<sup>7</sup><sub>11</sub> | |||
| undecimal major third, undecimal diminished fourth | |||
|- | |- | ||
|[[ | | [[23/18]] | ||
| | | 424.3643 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | 23o4, twetho 4th | ||
| | | M3<sup>23</sup> | ||
| vicesimotertial diminished fourth | |||
|- | |- | ||
|[[ | | [[32/25]] | ||
| | | 427.3726 | ||
| | | {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | gg4, gugu 4th | ||
| | | d4<sub>25</sub> | ||
| classic diminished fourth | |||
|- | |- | ||
|[[32 | | [[41/32]] | ||
| | | 429.0624 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | 41o3, fowo 3rd | ||
| | | M3<sup>41</sup> | ||
| octave-reduced 41st harmonic, quadracesimoprimal supermajor third | |||
|- | |- | ||
|[[77/60]] | | [[77/60]] | ||
|431. | | 431.8751 | ||
|1ozg4, lozogu 4th | | {{sagittal| /|) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|d4<sup>77</sup><sub>5</sub> | | 1ozg4, lozogu 4th | ||
|swetismic supermajor third | | d4<sup>77</sup><sub>5</sub> | ||
| swetismic supermajor third | |||
|- | |- | ||
|[[9/7]] | | [[9/7]] | ||
|435. | | 435.0841 | ||
|r3, ru 3rd | | {{sagittal| |) |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| r3, ru 3rd | |||
| M3<sub>7</sub> | | M3<sub>7</sub> | ||
|supermajor third, septimal major third | | supermajor third, septimal major third | ||
|- | |- | ||
|[[31/24]] | | [[31/24]] | ||
|443. | | 443.0806 | ||
|31o3, thiwo 3rd | | {{sagittal| \!/ |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|M3<sup>31</sup> | | 31o3, thiwo 3rd | ||
| M3<sup>31</sup> | |||
| sensi supermajor third | | sensi supermajor third | ||
|- | |- | ||
|[[22/17]] | | [[22/17]] | ||
|446. | | 446.3625 | ||
|17u1o3, sulo 3rd | | {{sagittal| (|\ |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|M3<sup>11</sup><sub>17</sub> | | 17u1o3, sulo 3rd | ||
|septendecimal supermajor third | | M3<sup>11</sup><sub>17</sub> | ||
| septendecimal supermajor third | |||
|- | |||
| [[35/27]] | |||
| 449.2746 | |||
| {{sagittal| \!) |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| zy4, zoyo 4th | |||
| P4<sup>35</sup> | |||
| septimal semidiminished fourth | |||
|- | |- | ||
|[[ | | [[83/64]] | ||
| | | 450.0473 | ||
| | | {{sagittal| \!) |size=300%}}{{sagittal|ntFbl|size=400%}}   | ||
|P4<sup> | | 83o4 | ||
| | | P4<sup>83</sup> | ||
| octave-reduced 83rd harmonic, octacesimotertial harmonic semisixth | |||
|- | |- | ||
|[[13/10]] | | [[13/10]] | ||
|454. | | 454.2139 | ||
|3og4, thogu 4th | | {{sagittal| \\! |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|d4<sup>13</sup><sub>5</sub> | | 3og4, thogu 4th | ||
|tridecimal semisixth, Barbados third, tridecimal 9/4 tone | | d4<sup>13</sup><sub>5</sub> | ||
| tridecimal semisixth, Barbados third, tridecimal 9/4 tone | |||
|- | |- | ||
|[[64/49]] | | [[30/23]] | ||
|462. | | 459.9944 | ||
|rr3, ruru 3rd | | {{sagittal| (!( |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|M3<sub>49</sub> | | 23uy3, twethuyo 3rd | ||
| P4<sup>5</sup><sub>23</sub> | |||
| vicesimotertial ultramajor third | |||
|- | |||
| [[64/49]] | |||
| 462.3482 | |||
| {{sagittal| /|\ |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| rr3, ruru 3rd | |||
| M3<sub>49</sub> | |||
| septatonic major third | | septatonic major third | ||
|- | |- | ||
|[[17/13]] | | [[17/13]] | ||
|464. | | 464.4277 | ||
|17o3u4, sothu 4th | | {{sagittal| (! |size=300%}}{{sagittal|ntFbl|size=400%}}   | ||
|P4<sup>17</sup><sub>13</sub> | | 17o3u4, sothu 4th | ||
|septendecimal sub-fourth | | P4<sup>17</sup><sub>13</sub> | ||
| septendecimal sub-fourth | |||
|- | |||
| [[21/16]] | |||
| 470.7809 | |||
| {{sagittal| !) |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| z4, zo 4th | |||
| P4<sup>7</sup> | |||
| sub-fourth, narrow fourth, 8ve-reduced 21st harmonic | |||
|- | |||
| [[25/19]] | |||
| 475.1144 | |||
| {{sagittal| \!) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| 19uyy3, nuyoyo 3rd | |||
| A3<sup>5,5</sup><sub>19</sub> | |||
| undevicesimal augmented third, undevicesimal grave fourth | |||
|- | |||
| [[95/72]] | |||
| 479.9167 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal|ntFbl|size=400%}}   | |||
| 19oy4, noyo 4th | |||
| P4<sup>5,19</sup> | |||
| undevicesimal quasi-tempered 2/5-octave, undevicesimal "[[5edo|5EDO]]"-esque fourth | |||
|- | |||
| [[128/97]] | |||
| 480.1046 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal|ntFbl|size=400%}}   | |||
| 97u4 | |||
| P4<sub>97</sub> | |||
| nonacesimoseptimal subharmonic fourth | |||
|- | |||
| [[33/25]] | |||
| 480.6455 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 1ogg4, logugu 4th | |||
| d4<sup>11</sup><sub>25</sub> | |||
| ptolemismic fourth, "5EDO"-esque fourth | |||
|- | |||
| [[160/121]] | |||
| 483.6778 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal|ntFbl|size=400%}}   | |||
| 1uuy4, luluyo 4th | |||
| A4<sup>5</sup><sub>11,11</sub> | |||
| narrow biyatismic fourth | |||
|- | |||
| [[324/245]] | |||
| 483.8545 | |||
| {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| rrg3, rurugu 3rd | |||
| M3<sub>5,7,7</sub> | |||
| sensamagic fourth | |||
|- | |||
| [[85/64]] | |||
| 491.2691 | |||
| {{sagittal| !( |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 17oy4, soyo 4th | |||
| P4<sup>85</sup> | |||
| charismic fourth, septendecimal harmonic fourth | |||
|- | |||
| [[117/88]] | |||
| 493.1197 | |||
| {{sagittal| !( |size=300%}}{{sagittal|ntFbl|size=400%}}   | |||
| 3o1u4, tholu 4th | |||
| P4<sup>13</sup><sub>11</sub> | |||
| major-minthmic fourth ({{monzo|-3 2 0 0 -1 1}}) | |||
|- | |||
| [[4/3]] | |||
| 498.0450 | |||
| {{sagittal|ntFhf|size=400%}}   | |||
| w4, wa 4th | |||
| P4 | |||
| just perfect fourth, octave-reduced 3rd subharmonic, diatessaron | |||
|- | |||
| [[171/128]] | |||
| 501.4230 | |||
| {{sagittal| |( |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 19o4, ino 4th | |||
| P4<sup>19</sup> | |||
| undevicesimal harmonic fourth | |||
|- | |- | ||
|[[ | | [[75/56]] | ||
| | | 505.7565 | ||
| | | {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | ryy3, ruyoyo 3rd | ||
| | | A3<sup>25</sup><sub>7</sub> | ||
| marvelous fourth | |||
|- | |- | ||
|[[ | | [[121/90]] | ||
| | | 512.4122 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntFbl|size=400%}}   | ||
|d4<sup>11</sup><sub> | | 1oog4, lologu 4th | ||
| | | d4<sup>11,11</sup><sub>5</sub> | ||
| wide biyatismic fourth | |||
|- | |- | ||
|[[ | | [[35/26]] | ||
| | | 514.6120 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntFbl|size=400%}}   | ||
| | | 3uzy4, thuzoyo 4th | ||
| | | A4<sup>5,7</sup><sub>13</sub> | ||
| animist fourth | |||
|- | |- | ||
|[[ | | [[128/95]] | ||
| | | 516.1733 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|P4 | | 19ug4, nugu 4th | ||
| | | P4<sub>5,19</sub> | ||
| undevicesimal subharmonic fourth | |||
|- | |- | ||
|[[ | | [[27/20]] | ||
| | | 519.5513 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | g4, gu 4th | ||
| | | P4<sub>5</sub> | ||
| acute fourth, wolf fourth | |||
|- | |- | ||
|[[ | | [[875/648]] | ||
| | | 519.9470 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal|ntFbl|size=400%}}   | ||
| | | zy<sup>3</sup>4, zotriyo 4th | ||
| | | A4<sup>5,5,5,7</sup> | ||
| maviloid generator superfourth | |||
|- | |- | ||
|[[ | | [[23/17]] | ||
| | | 523.3189 | ||
| | | {{sagittal| # |size=300%}}{{sagittal|ntEbl|size=400%}}   | ||
| | | 23o17u4, twethosu 4th | ||
|acute fourth | | A3<sup>23</sup><sub>17</sub> | ||
| vicesimotertial acute fourth | |||
|- | |- | ||
|[[19/14]] | | [[19/14]] | ||
|528. | | 528.6871 | ||
| {{sagittal| (| |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 19or4, noru 4th | | 19or4, noru 4th | ||
|P4<sup>19</sup><sub>7</sub> | | P4<sup>19</sup><sub>7</sub> | ||
|hendrix fourth | | hendrix fourth | ||
|- | |||
| [[34/25]] | |||
| 532.3280 | |||
| {{sagittal| (|) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| 17ogg5, sogugu 5th | |||
| dd5<sup>17</sup><sub>5,5</sub> | |||
| vengeance superfourth | |||
|- | |||
| [[49/36]] | |||
| 533.7418 | |||
| {{sagittal| \!/ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| zz5, zozo 5th | |||
| d5<sup>49</sup> | |||
| Arabic lute acute fourth | |||
|- | |||
| [[15/11]] | |||
| 536.9508 | |||
| {{sagittal| (|( |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 1uy4, luyo 4th | |||
| A4<sup>5</sup><sub>11</sub> | |||
| sub-augmented fourth, undecimal augmented fourth | |||
|- | |- | ||
|[[ | | [[26/19]] | ||
| | | 543.0146 | ||
| | | {{sagittal| //| |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | 19u3o4, nutho 4th | ||
| | | P4<sup>13</sup><sub>19</sub> | ||
| undevicesimal super-fourth | |||
|- | |- | ||
|[[ | | [[48/35]] | ||
| | | 546.8154 | ||
| | | {{sagittal| /|) |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | rg4, rugu 4th | ||
| | | P4<sub>35</sub> | ||
| septimal super-fourth | |||
|- | |- | ||
|[[ | | [[11/8]] | ||
| | | 551.3179 | ||
| | | {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|P4< | | 1o4, ilo 4th | ||
| | | P4<sup>11</sup> | ||
| super-fourth, paramajor fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic, Alphorn-Fa | |||
|- | |- | ||
|[[ | | [[18/13]] | ||
| | | 563.3823 | ||
| | | {{sagittal| (|\ |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | 3u4, thu 4th | ||
| | | A4<sub>13</sub> | ||
| tridecimal augmented fourth | |||
|- | |- | ||
|[[18 | | [[25/18]] | ||
| | | 568.7174 | ||
| | | {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|A4< | | yy4, yoyo 4th | ||
| | | A4<sup>25</sup> | ||
| classic augmented fourth, pental augmented fourth ({{Monzo|-1 -2 2}}) | |||
|- | |- | ||
|[[ | | [[32/23]] | ||
| | | 571.7257 | ||
| | | {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
| | | 23u4, twethu 4th | ||
| | | d5<sub>23</sub> | ||
| vicesimotertial narrow tritone, octave-reduced 23rd subharmonic | |||
|- | |- | ||
|[[88/63]] | | [[88/63]] | ||
|578. | | 578.5820 | ||
|1or4, loru 4th | | {{sagittal| (! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|P4<sup>11</sup><sub>7</sub> | | 1or4, loru 4th | ||
| | | P4<sup>11</sup><sub>7</sub> | ||
| pentacircle diminished fifth | |||
|- | |- | ||
| [[7/5]] | | [[7/5]] | ||
|582. | | 582.5122 | ||
|zg5, zogu 5th | | {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|d5<sup>7</sup><sub>5</sub> | | zg5, zogu 5th | ||
|augmented fourth, septimal tritone, Huygen's tritone | | d5<sup>7</sup><sub>5</sub> | ||
| augmented fourth, septimal tritone, Huygen's tritone | |||
|- | |||
| [[108/77]] | |||
| 585.7212 | |||
| {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 1ur4, luru 4th | |||
| A4<sub>77</sub> | |||
| swetismic augmented fourth ({{Monzo|2, 3, 0, -1, -1}}) | |||
|- | |||
| [[1024/729]] | |||
| 588.2700 | |||
| {{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| sw5, sawa 5th | |||
| d5 | |||
| Pytharogean diminished fifth | |||
|- | |||
| [[45/32]] | |||
| 590.2237 | |||
| {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| y4, yo 4th | |||
| A4<sup>5</sup> | |||
| smaller pental tritone, diatonic tritone ({{Monzo|-5 2 1}}) | |||
|- | |||
| [[128/91]] | |||
| 590.6464 | |||
| {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFbl|size=400%}}   | |||
| 3ur4, thuru 4th | |||
| A4<sub>91</sub> | |||
| smaller huntmic tritone, 91st subharmonic | |||
|- | |||
| [[38/27]] | |||
| 591.6480 | |||
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| ino 5th, 19o5 | |||
| d5<sup>19</sup> | |||
| smaller undevicesimal tritone | |||
|- | |||
| [[55/39]] | |||
| 595.1490 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFbl|size=400%}}   | |||
| 3u1oy4, thuloyo 4th | |||
| A4<sup>55</sup><sub>13</sub> | |||
| smaller gassormic tritone | |||
|- | |||
| [[24/17]] | |||
| 596.9996 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 17u4, su 4th | |||
| A4<sub>17</sub> | |||
| smaller septendecimal tritone | |||
|- | |||
| [[181/128]] | |||
| 599.8151 | |||
| {{sagittal| )!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFbl|size=400%}}   | |||
| 181o4 | |||
| A4<sup>181</sup> | |||
| octave-reduced 181st harmonic, otonal quasi-tempered tritone | |||
|- | |||
| [[99/70]] | |||
| 600.0883 | |||
| {{sagittal| )!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 1org4, lorugu 4th | |||
| P4<sup>11</sup><sub>35</sub> | |||
| homothetic quasi-tempered tritone | |||
|- | |||
| [[256/181]] | |||
| 600.1849 | |||
| {{sagittal| )|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGbl|size=400%}}   | |||
| 181u5 | |||
| d5<sub>181</sub> | |||
| octave-reduced 181st subharmonic, utonal quasi-tempered tritone | |||
|- | |||
| [[17/12]] | |||
| 603.0004 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| 17o5, iso 5th | |||
| d5<sup>17</sup> | |||
| larger septendecimal tritone | |||
|- | |- | ||
|[[ | | [[78/55]] | ||
| | | 604.8510 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGbl|size=400%}}   | ||
| | | 3o1ug5, tholugu 5th | ||
| | | d5<sup>13</sup><sub>55</sub> | ||
| larger gassormic tritone | |||
|- | |- | ||
|[[ | | [[27/19]] | ||
| | | 608.3520 | ||
| | | {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|A4<sub> | | inu 4th, 19u4 | ||
| | | A4<sub>19</sub> | ||
| larger undevicesimal tritone | |||
|- | |- | ||
|[[ | | [[91/64]] | ||
| | | 609.3536 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGbl|size=400%}}   | ||
| | | 3oz5, thozo 5th | ||
| | | d5<sup>91</sup> | ||
| larger huntmic tritone, octave-reduced 91st harmonic | |||
|- | |- | ||
| | | [[64/45]] | ||
| | | 609.7763 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
| | | g5, gu 5th | ||
| | | d5<sub>5</sub> | ||
| larger pental tritone, diatonic tritone ({{Monzo|6 -2 -1}}) | |||
|- | |- | ||
|[[ | | [[729/512]] | ||
| | | 611.7300 | ||
| | | {{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | Lw4, lawa 4th | ||
| | | A4 | ||
| Pythagorean tritone | |||
|- | |- | ||
|[[ | | [[10/7]] | ||
| | | 617.4878 | ||
| | | {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | ry4, ruyo 4th | ||
| | | A4<sup>5</sup><sub>7</sub> | ||
| diminished fifth, Euler's tritone, superaugmented fourth | |||
|- | |- | ||
|[[ | | [[23/16]] | ||
| | | 628.2743 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|A4<sup> | | 23o5, twetho 5th | ||
| | | A4<sup>23</sup> | ||
| vicesimotertial superaugmented fourth, octave-reduced 23rd harmonic | |||
|- | |- | ||
|[[ | | [[36/25]] | ||
| | | 631.2826 | ||
| | | {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
| | | gg5, gugu 5th | ||
| | | d5<sub>25</sub> | ||
| pental diminished fifth, classic diminshed fifth ({{Monzo|2 2 -2}}) | |||
|- | |- | ||
|[[ | | [[13/9]] | ||
| | | 636.6177 | ||
| | | {{sagittal| (!/ |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|d5< | | 3o5, tho 5th | ||
| | | d5<sup>13</sup> | ||
| tridecimal diminished fifth | |||
|- | |- | ||
|[[ | | [[16/11]] | ||
| | | 648.6821 | ||
| | | {{sagittal| \!/ |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
| | | 1u5, lu 5th | ||
| | | P5<sub>11</sub> | ||
| sub-fifth, paraminor fifth, octave-reduced 11th subharmonic | |||
|- | |- | ||
|[[ | | [[35/24]] | ||
| | | 653.1846 | ||
| | | {{sagittal| \!) |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|P5< | | zy5, zoyo 5th | ||
|sub-fifth | | P5<sup>35</sup> | ||
| septimal sub-fifth | |||
|- | |- | ||
|[[ | | [[19/13]] | ||
| | | 656.9854 | ||
| | | {{sagittal| \\! |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|P5<sup> | | 19o3u5, nothu 5th | ||
| | | P5<sup>19</sup><sub>13</sub> | ||
| undevicesimal sub-fifth | |||
|- | |- | ||
|[[22/15]] | | [[22/15]] | ||
|663. | | 663.0492 | ||
|1og5, logu 5th | | {{sagittal| (!( |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|d5<sup>11</sup><sub>5</sub> | | 1og5, logu 5th | ||
| d5<sup>11</sup><sub>5</sub> | |||
| undecimal diminished fifth, semidiminished fifth | | undecimal diminished fifth, semidiminished fifth | ||
|- | |- | ||
|[[72/49]] | | [[72/49]] | ||
|666. | | 666.2589 | ||
|rr4, ruru 4th | | {{sagittal| /|\ |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
|A4<sub>49</sub> | | rr4, ruru 4th | ||
|septimal catafifth | | A4<sub>49</sub> | ||
| septimal catafifth | |||
|- | |||
| [[25/17]] | |||
| 667.6720 | |||
| {{sagittal| (!) |size=300%}}{{sagittal| x |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 17uyy4, suyoyo 4th | |||
| AA4<sup>5,5</sup><sub>17</sub> | |||
| vengeance subfifth | |||
|- | |- | ||
|[[81/55]] | | [[81/55]] | ||
|670. | | 670.1883 | ||
|1ug5, lugu 5th | | {{sagittal| (! |size=300%}}{{sagittal|ntGbl|size=400%}}   | ||
|P5<sub>55</sub> | | 1ug5, lugu 5th | ||
|undecimal catafifth | | P5<sub>55</sub> | ||
| undecimal catafifth | |||
|- | |- | ||
|[[28/19]] | | [[28/19]] | ||
|671. | | 671.3129 | ||
| {{sagittal| (! |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| 19uz5, nuzo 5th | | 19uz5, nuzo 5th | ||
|P5<sup>7</sup><sub>19</sub> | | P5<sup>7</sup><sub>19</sub> | ||
|hendrix fifth | | hendrix fifth | ||
|- | |||
| [[34/23]] | |||
| 676.6811 | |||
| {{sagittal| bb |size=300%}}{{sagittal|ntAbl|size=400%}}   | |||
| 23u17o5, twethuso 5th | |||
| d6<sup>17</sup><sub>23</sub> | |||
| vicesimotertial grave fifth | |||
|- | |||
| [[262144/177147]] | |||
| 678.4950 | |||
| {{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| sasawa 6th, ssw6 | |||
| d6 | |||
| Pythagorean wolf fifth | |||
|- | |||
| [[40/27]] | |||
| 680.4487 | |||
| {{sagittal| \!|size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| y5, yo 5th | |||
| P5<sup>5</sup> | |||
| grave fifth | |||
|- | |||
| [[95/64]] | |||
| 683.8267 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| 19oy5, noyo 5th | |||
| P5<sup>5,19</sup> | |||
| undevicesimal harmonic fifth | |||
|- | |||
| [[52/35]] | |||
| 685.3880 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal|ntGbl|size=400%}}   | |||
| 3org5, thorugu 5th | |||
| d5<sup>13</sup><sub>35</sub> | |||
| animist fifth | |||
|- | |||
| [[180/121]] | |||
| 687.5878 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal|ntGbl|size=400%}}   | |||
| 1uuy5, luluyo 5th | |||
| A5<sup>5</sup><sub>11,11</sub> | |||
| narrow biyatismic fifth | |||
|- | |||
| [[112/75]] | |||
| 694.2435 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| zgg6, zogugu 6th | |||
| d6<sup>7</sup><sub>25</sub> | |||
| marvelous fifth | |||
|- | |||
| [[121/81]] | |||
| 694.8159 | |||
| {{sagittal| !( |size=300%}}{{sagittal|ntGbl|size=400%}}   | |||
| 1oo5, lolo 5th | |||
| d5<sup>11,11</sup> | |||
| rastmic fifth, Alpharabian narrow fifth | |||
|- | |||
| [[323/216]] | |||
| 696.6034 | |||
| {{sagittal| /| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAbl|size=400%}}   | |||
| 19o17o6, noso 6th | |||
| d6<sup>17,19</sup> | |||
| undevicesimal meantone fifth | |||
|- | |||
| [[256/171]] | |||
| 698.5770 | |||
| {{sagittal| !( |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| 19u5, inu 5th | |||
| P5<sub>19</sub> | |||
| undevicesimal subharmonic fifth | |||
|- | |||
| [[16384/10935]] | |||
| 700.0013 | |||
| {{sagittal| /| |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| sg6, sagu 6th | |||
| d6<sub>5</sub> | |||
| Kirnberger's fifth ("[[12edo]]"-esque fifth) | |||
|- | |||
| [[3/2]] | |||
| 701.9550 | |||
| {{sagittal|ntGhf|size=400%}}   | |||
| w5, wa 5th | |||
| P5 | |||
| [[just perfect fifth]], octave-reduced 3rd harmonic, diapente | |||
|- | |||
| [[182/121]] | |||
| 706.7177 | |||
| {{sagittal| |) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| 3o1uuz6, tholuluzo 6th | |||
| m6<sup>7,13</sup><sub>11,11</sub> | |||
| minor-minthmic fifth ({{monzo| 1 0 0 1 -2 1}}) | |||
|- | |||
| [[176/117]] | |||
| 706.8803 | |||
| {{sagittal| |( |size=300%}}{{sagittal|ntGbl|size=400%}}   | |||
| 3u1o5, thulo 5th | |||
| P5<sup>11</sup><sub>13</sub> | |||
| major-minthmic fifth ({{monzo| 4 -2 0 0 1 -1 }}) | |||
|- | |||
| [[128/85]] | |||
| 708.7309 | |||
| {{sagittal| |( |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| 17ug5, sugu 5th | |||
| P5<sub>85</sub> | |||
| charismic fifth, septendecimal subharmonic fifth | |||
|- | |- | ||
|[[ | | [[245/162]] | ||
| | | 716.1455 | ||
| | | {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
| | | zzy6, zozoyo 6th | ||
| | | m6<sup>5,7,7</sup> | ||
| sensamagic fifth | |||
|- | |- | ||
|[[ | | [[121/80]] | ||
| | | 716.3222 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntGbl|size=400%}}   | ||
| | | 1oog5, lologu 5th | ||
| | | d5<sup>121</sup><sub>5</sub> | ||
| wide biyatismic fifth | |||
|- | |- | ||
|[[ | | [[50/33]] | ||
| | | 719.3545 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
| | | 1uyy5, luyoyo 5th | ||
| | | A5<sup>25</sup><sub>11</sub> | ||
| ptolemismic fifth, "5EDO"-esque fifth | |||
|- | |- | ||
| | | [[97/64]] | ||
| | | 719.8954 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntGbl|size=400%}}   | ||
| | | 97o5 | ||
| | | P5<sup>97</sup> | ||
| nonacesimoseptimal harmonic fifth | |||
|- | |- | ||
|[[ | | [[144/95]] | ||
| | | 720.0833 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntGbl|size=400%}}   | ||
|P5 | | 19ug5, nugu 5th | ||
| | | P5<sub>5,19</sub> | ||
| undevicesimal quasi-tempered 3/5-octave, undevicesimal "5EDO"-esque fifth | |||
|- | |- | ||
|[[ | | [[38/25]] | ||
| | | 724.8856 | ||
| | | {{sagittal| /|) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
| | | 19ogg6, nogugu 6th | ||
| | | d6<sup>19</sup><sub>5,5</sub> | ||
| undevicesimal diminished sixth, undevicesimal acute fifth | |||
|- | |- | ||
|[[ | | [[32/21]] | ||
| | | 729.2191 | ||
| | | {{sagittal| |) |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|P5 | | r5, ru 5th | ||
| | | P5<sub>7</sub> | ||
| super-fifth, wide fifth, octave-reduced 21st subharmonic | |||
|- | |- | ||
|[[ | | [[26/17]] | ||
| | | 735.5723 | ||
| | | {{sagittal| (| |size=300%}}{{sagittal|ntGbl|size=400%}}   | ||
| | | 17u3o5, sutho 5th | ||
| | | P5<sup>13</sup><sub>17</sub> | ||
| septendecimal super-fifth | |||
|- | |- | ||
|[[32 | | [[49/32]] | ||
| | | 737.6518 | ||
| | | {{sagittal| \!/ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
| | | zz6, zozo 6th | ||
| | | m6<sup>49</sup> | ||
| superduper fifth, octave-reduced 49th harmonic | |||
|- | |- | ||
|[[ | | [[23/15]] | ||
| | | 740.0056 | ||
| | | {{sagittal| (|( |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|P5<sup> | | 23og6, twethogu 6th | ||
| | | P5<sup>23</sup><sub>5</sub> | ||
| vicesimotertial ultraminor sixth | |||
|- | |- | ||
|[[ | | [[20/13]] | ||
| | | 745.7861 | ||
| | | {{sagittal| //| |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
| | | 3uy5, thuyo 5th | ||
| | | A5<sup>5</sup><sub>13</sub> | ||
| tridecimal semitenth, Barbados sixth, ratwolf wolf fifth | |||
|- | |- | ||
|[[ | | [[128/83]] | ||
| | | 749.9527 | ||
| | | {{sagittal| /|) |size=300%}}{{sagittal|ntGbl|size=400%}}   | ||
| | | 83u5 | ||
| | | P5<sub>83</sub> | ||
| 83rd subharmonic, octacesimotertial subharmonic semitenth | |||
|- | |- | ||
|[[17/11]] | | [[17/11]] | ||
|753. | | 753.6375 | ||
|17o1u6, solu 6th | | {{sagittal| (!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
|m6<sup>17</sup><sub>11</sub> | | 17o1u6, solu 6th | ||
|septendecimal subminor sixth | | m6<sup>17</sup><sub>11</sub> | ||
| septendecimal subminor sixth | |||
|- | |- | ||
| [[14/9]] | | [[14/9]] | ||
|764. | | 764.9159 | ||
|z6, zo 6th | | {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
|m6<sup>7</sup> | | z6, zo 6th | ||
|subminor sixth, septimal minor sixth | | m6<sup>7</sup> | ||
| subminor sixth, septimal minor sixth | |||
|- | |- | ||
|[[25/16]] | | [[25/16]] | ||
|772. | | 772.6274 | ||
|yy5, yoyo 5th | | {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|A5<sup>25</sup> | | yy5, yoyo 5th | ||
|pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic | | A5<sup>25</sup> | ||
| pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic | |||
|- | |- | ||
|[[36/23]] | | [[36/23]] | ||
|775. | | 775.6357 | ||
|23u5, twethu 5th | | {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
|m6<sub>23</sub> | | 23u5, twethu 5th | ||
|vicesimotertial augmented fifth | | m6<sub>23</sub> | ||
| vicesimotertial augmented fifth | |||
|- | |- | ||
|[[11/7]] | | [[11/7]] | ||
|782. | | 782.4920 | ||
|1or5, loru 5th | | {{sagittal| (! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|P5<sup>11</sup><sub>7</sub> | | 1or5, loru 5th | ||
|undecimal subminor sixth, undecimal augmented fifth | | P5<sup>11</sup><sub>7</sub> | ||
| undecimal subminor sixth, undecimal augmented fifth | |||
|- | |- | ||
|[[63/40]] | | [[63/40]] | ||
|786. | | 786.4222 | ||
|zg6, zogu 6th | | {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
|m6<sup>7</sup><sub>5</sub> | | zg6, zogu 6th | ||
|narrow minor sixth | | m6<sup>7</sup><sub>5</sub> | ||
| narrow minor sixth | |||
|- | |- | ||
|[[52/33]] | | [[52/33]] | ||
|787. | | 787.2547 | ||
|3o1u6, tholu 6th | | {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAbl|size=400%}}   | ||
|m6<sup>13</sup><sub>11</sub> | | 3o1u6, tholu 6th | ||
| m6<sup>13</sup><sub>11</sub> | |||
| tridecimal minor sixth | | tridecimal minor sixth | ||
|- | |- | ||
|[[128/81]] | | [[30/19]] | ||
|792. | | 790.7557 | ||
|sw6, | | {{sagittal| !) |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
|m6 | | 19uy5, nuyo 5th | ||
|Pythagorean minor sixth, octave-reduced 81st subharmonic | | A5<sup>5</sup><sub>19</sub> | ||
| small undevicesimal minor sixth, Eratosthenes' minor sixth | |||
|- | |||
| [[128/81]] | |||
| 792.1800 | |||
| {{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| sw6, sawa 6th | |||
| m6 | |||
| Pythagorean minor sixth, octave-reduced 81st subharmonic | |||
|- | |||
| [[19/12]] | |||
| 795.5580 | |||
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| 19o6, ino 6th | |||
| m6<sup>19</sup> | |||
| large undevicesimal minor sixth, Boethius' minor sixth | |||
|- | |||
| [[27/17]] | |||
| 800.9096 | |||
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGbl|size=400%}}   | |||
| 17u5, su 5th | |||
| A5<sub>17</sub> | |||
| septendecimal quasi-tempered minor sixth | |||
|- | |||
|[[35/22]] | |||
|803.8217 | |||
| {{sagittal| )|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|1uzy6, luzoyo 6th | |||
|n6<sup>5,7</sup><sub>11</sub> | |||
|fwiwismic minor sixth | |||
|- | |- | ||
|[[8/5]] | |[[8/5]] | ||
|813. | |813.6863 | ||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|g6, gu 6th | |g6, gu 6th | ||
|m6<sub>5</sub> | |m6<sub>5</sub> | ||
|classic minor sixth, just minor sixth, octave-reduced 5th subharmonic | |classic minor sixth, just minor sixth, octave-reduced 5th subharmonic | ||
|- | |||
|[[21/13]] | |||
|830.2532 | |||
| {{sagittal| (|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|3uz6, thuzo 6th | |||
|M6<sup>7</sup><sub>13</sub> | |||
|tridecimal supraminor sixth | |||
|- | |||
|[[34/21]] | |||
|834.1745 | |||
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|17or6, soru 6th | |||
|m6<sup>17</sup><sub>7</sub> | |||
|septendecimal supraminor sixth | |||
|- | |- | ||
|[[13/8]] | |[[13/8]] | ||
| 840. | |840.5277 | ||
| {{sagittal| (!/ |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|3o6, tho 6th | |3o6, tho 6th | ||
|m6<sup>13</sup> | |m6<sup>13</sup> | ||
| Line 1,064: | Line 1,749: | ||
|- | |- | ||
|[[80/49]] | |[[80/49]] | ||
|848. | |848.6619 | ||
| {{sagittal| (| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
|rry5, ruruyo aug 5th | |rry5, ruruyo aug 5th | ||
|A5<sup>5</sup><sub>49</sub> | |A5<sup>5</sup><sub>49</sub> | ||
| Line 1,070: | Line 1,756: | ||
|- | |- | ||
|[[49/30]] | |[[49/30]] | ||
|849. | |849.3832 | ||
| {{sagittal| (! |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|zzg7, zozogu 7th | |zzg7, zozogu 7th | ||
|d7<sup>49</sup><sub>5</sub> | |d7<sup>49</sup><sub>5</sub> | ||
| Line 1,076: | Line 1,763: | ||
|- | |- | ||
|[[18/11]] | |[[18/11]] | ||
|852. | |852.5921 | ||
| {{sagittal| \!/ |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|1u6, lu 6th | |1u6, lu 6th | ||
| M6<sub>11</sub> | |M6<sub>11</sub> | ||
|undecimal neutral sixth | |undecimal neutral sixth | ||
|- | |||
|[[105/64]] | |||
|857.0946 | |||
| {{sagittal| \!) |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|zy6, zoyo 6th | |||
|M6<sup>35</sup> | |||
|quasi-tempered 5/7-octave, octave-reduced 105th harmonic | |||
|- | |||
|[[23/14]] | |||
|859.4484 | |||
| {{sagittal| //| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
|23or6, twethoru 6th | |||
|A5<sup>23</sup><sub>7</sub> | |||
|vicesimotertial neutral sixth | |||
|- | |- | ||
|[[28/17]] | |[[28/17]] | ||
|863. | |863.8705 | ||
| {{sagittal| \\! |size=300%}}{{sagittal|ntAbl|size=400%}}   | |||
|17uz6, suzo 6th | |17uz6, suzo 6th | ||
|M6<sup>7</sup><sub>17</sub> | |M6<sup>7</sup><sub>17</sub> | ||
| Line 1,088: | Line 1,791: | ||
|- | |- | ||
|[[38/23]] | |[[38/23]] | ||
|869. | |869.2387 | ||
| {{sagittal| )!( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|23u19o6, twethuno 6th | |23u19o6, twethuno 6th | ||
|d7<sup>19</sup><sub>23</sub> | |d7<sup>19</sup><sub>23</sub> | ||
| Line 1,094: | Line 1,798: | ||
|- | |- | ||
|[[5/3]] | |[[5/3]] | ||
|884. | |884.3587 | ||
| {{sagittal| \! |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|y6, yo 6th | |y6, yo 6th | ||
|M6<sup>5</sup> | |M6<sup>5</sup> | ||
| Line 1,100: | Line 1,805: | ||
|- | |- | ||
|[[42/25]] | |[[42/25]] | ||
|898. | |898.1535 | ||
| {{sagittal| ~|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|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 | ||
|- | |||
|[[486/289]] | |||
|899.8642 | |||
| {{sagittal| (! |size=300%}}{{sagittal| x |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
|17uu5, susu 5th | |||
|AA5<sub>17, 17</sub> | |||
|semitonismic quasi-tempered major sixth | |||
|- | |- | ||
|[[32/19]] | |[[32/19]] | ||
|902. | |902.4870 | ||
| {{sagittal| !( |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|19u6, inu 6th | |19u6, inu 6th | ||
|M6<sub>19</sub> | |M6<sub>19</sub> | ||
| Line 1,112: | Line 1,826: | ||
|- | |- | ||
|[[27/16]] | |[[27/16]] | ||
|905. | |905.8650 | ||
| {{sagittal|ntAhf|size=400%}}   | |||
|w6, wa 6th | |w6, wa 6th | ||
|M6 | |M6 | ||
|Pythagorean major sixth, octave-reduced 27th harmonic | |Pythagorean major sixth, octave-reduced 27th harmonic | ||
|- | |||
| [[76/45]] | |||
| 907.2893 | |||
| {{sagittal| |) |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| 19og7, nogu 7th | |||
| d7<sup>19</sup><sub>5</sub> | |||
| Eratosthenes' major sixth | |||
|- | |- | ||
|[[22/13]] | |[[22/13]] | ||
|910. | |910.7908 | ||
| {{sagittal| |( |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|3u1o6, thulo 6th | |3u1o6, thulo 6th | ||
|M6<sup>11</sup><sub>13</sub> | |M6<sup>11</sup><sub>13</sub> | ||
| Line 1,124: | Line 1,847: | ||
|- | |- | ||
|[[17/10]] | |[[17/10]] | ||
|918. | |918.6417 | ||
| {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|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, diatismic major sixth | ||
|- | |||
|[[46/27]] | |||
|922.4093 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|twetho 7th, 23o7 | |||
|M6<sup>23</sup> | |||
|vicesimotertial diminished seventh, vicesiomtertial supermajor sixth | |||
|- | |- | ||
| [[12/7]] | | [[12/7]] | ||
|933. | |933.1291 | ||
| {{sagittal| |) |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|r6, ru 6th | |r6, ru 6th | ||
| M6<sub>7</sub> | | M6<sub>7</sub> | ||
| Line 1,136: | Line 1,868: | ||
|- | |- | ||
|[[55/32]] | |[[55/32]] | ||
|937. | |937.6317 | ||
| {{sagittal| (| |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|1oy6, loyo 6th | |1oy6, loyo 6th | ||
|M6<sup>55</sup> | |M6<sup>55</sup> | ||
| Line 1,142: | Line 1,875: | ||
|- | |- | ||
|[[19/11]] | |[[19/11]] | ||
|946. | |946.1951 | ||
| {{sagittal| \!) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBbl|size=400%}}   | |||
|19o1u7, nolu 7th | |19o1u7, nolu 7th | ||
|m7<sup>19</sup><sub>11</sub> | |m7<sup>19</sup><sub>11</sub> | ||
| Line 1,148: | Line 1,882: | ||
|- | |- | ||
|[[140/81]] | |[[140/81]] | ||
|947. | |947.3196 | ||
| {{sagittal| \!) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|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. | |951.0695 | ||
| {{sagittal| //| |size=300%}}{{sagittal|ntAbl|size=400%}}   | |||
|97or6, ninety-soru 6th | |97or6, ninety-soru 6th | ||
|M6<sup>97</sup><sub>7</sub> | |M6<sup>97</sup><sub>7</sub> | ||
| Line 1,160: | Line 1,896: | ||
|- | |- | ||
|[[26/15]] | |[[26/15]] | ||
|952. | |952.2589 | ||
| {{sagittal| \\! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|3og7, thogu 7th | |3og7, thogu 7th | ||
|d7<sup>13</sup><sub>5</sub> | |d7<sup>13</sup><sub>5</sub> | ||
| tridecimal semitwelfth | | tridecimal semitwelfth | ||
|- | |||
|[[40/23]] | |||
|958.0394 | |||
| {{sagittal| (!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|23uy6, twethuyo 6th | |||
|m7<sup>5</sup><sub>23</sub> | |||
|vicesimotertial ultramajor sixth, vicesimotertial inframinor seventh, vicesimotertial semitwelfth | |||
|- | |- | ||
|[[7/4]] | |[[7/4]] | ||
|968. | |968.8259 | ||
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|z7, zo 7th | |z7, zo 7th | ||
|m7<sup>7</sup> | |m7<sup>7</sup> | ||
| Line 1,172: | Line 1,917: | ||
|- | |- | ||
|[[225/128]] | |[[225/128]] | ||
|976. | |976.5374 | ||
|Lyy6, | | {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
|Lyy6, layoyo 6th | |||
|A6<sup>25</sup> | |A6<sup>25</sup> | ||
|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}}) | ||
|- | |- | ||
|[[ | |[[44/25]] | ||
| | |978.6905 | ||
| | | {{sagittal| ~!( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
| | |1ogg7, logugu 7th | ||
| | |d7<sup>11</sup><sub>5,5</sub> | ||
|ptolemismic minor seventh, undecimal grave minor seventh | |||
|- | |- | ||
|[[30/17]] | |[[30/17]] | ||
|983. | |983.3133 | ||
| {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|17uy6, suyo 6th | |17uy6, suyo 6th | ||
|A6<sup>5</sup><sub>17</sub> | |A6<sup>5</sup><sub>17</sub> | ||
|septendecimal minor seventh | |septendecimal minor seventh | ||
|- | |||
|[[23/13]] | |||
|987.7467 | |||
| {{sagittal| (! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
|23o3u7, twethothu 7th | |||
|A6<sup>23</sup><sub>13</sub> | |||
|vicesimotertial minor seventh | |||
|- | |- | ||
|[[71/40]] | |[[71/40]] | ||
|993. | |993.3828 | ||
|{{sagittal| b |size=300%}}{{sagittal|ntBbl|size=400%}}   | |||
|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 | ||
|- | |- | ||
| [[16/9]] | | [[16/9]] | ||
|996. | |996.0900 | ||
|{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|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 | ||
|- | |||
| [[57/32]] | |||
| 999.4680 | |||
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| 19o7, ino 7th | |||
| m7<sup>19</sup> | |||
| quasi-tempered minor seventh, octave-reduced 57th harmonic | |||
|- | |- | ||
|[[25/14]] | |[[25/14]] | ||
|1003. | |1003.802 | ||
| {{sagittal| ~!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| ryy6, ruyoyo 6th | | ryy6, ruyoyo 6th | ||
|A6<sup>25</sup><sub>7</sub> | |A6<sup>25</sup><sub>7</sub> | ||
| Line 1,214: | Line 1,973: | ||
|- | |- | ||
|[[34/19]] | |[[34/19]] | ||
| 1007. | | 1007.442 | ||
| {{sagittal| )|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|19u17o7, nuso 7th | |19u17o7, nuso 7th | ||
|m7<sup>17</sup><sub>19</sub> | |m7<sup>17</sup><sub>19</sub> | ||
| Line 1,220: | Line 1,980: | ||
|- | |- | ||
| [[9/5]] | | [[9/5]] | ||
|1017. | |1017.596 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
|g7, gu 7th | |||
|m7<sub>5</sub> | |m7<sub>5</sub> | ||
|classic minor seventh, large minor seventh | |classic minor seventh, large minor seventh | ||
|- | |||
|[[38/21]] | |||
|1026.732 | |||
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|19or7, noru 7th | |||
|m7<sup>19</sup><sub>7</sub> | |||
|minor neutral undevicesimal seventh | |||
|- | |- | ||
|[[29/16]] | |[[29/16]] | ||
|1029. | |1029.577 | ||
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBbl|size=400%}}   | |||
|29o7, tweno 7th | |29o7, tweno 7th | ||
|m7<sup>29</sup> | |m7<sup>29</sup> | ||
| Line 1,232: | Line 2,001: | ||
|- | |- | ||
|[[20/11]] | |[[20/11]] | ||
|1034. | |1034.996 | ||
| {{sagittal| (|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|1uy7, luyo 7th | |1uy7, luyo 7th | ||
|M7<sup>5</sup><sub>11</sub> | |M7<sup>5</sup><sub>11</sub> | ||
|undecimal supraminor seventh, small undecimal neutral seventh | |undecimal supraminor seventh, small undecimal neutral seventh | ||
|- | |||
|[[42/23]] | |||
|1042.507 | |||
| {{sagittal| \\! |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|23uz7, twethuzo 7th | |||
|d8<sup>7</sup><sub>23</sub> | |||
|small vicesimotertial neutral seventh | |||
|- | |- | ||
|[[64/35]] | |[[64/35]] | ||
|1044. | |1044.860 | ||
| {{sagittal| /|) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|rg7, rugu 7th | |rg7, rugu 7th | ||
|m7<sub>35</sub> | |m7<sub>35</sub> | ||
| Line 1,244: | Line 2,022: | ||
|- | |- | ||
|[[11/6]] | |[[11/6]] | ||
|1049. | |1049.363 | ||
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|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 | ||
|- | |||
|[[46/25]] | |||
|1055.647 | |||
| {{sagittal| (|) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|twethogugu octave, 23ogg8 | |||
|m7<sup>23</sup><sub>5,5</sub> | |||
|large vicesimotertial neutral seventh | |||
|- | |- | ||
|[[24/13]] | |[[24/13]] | ||
|1061. | |1061.427 | ||
| {{sagittal| (|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|3u7, thu 7th | |3u7, thu 7th | ||
|M7<sub>13</sub> | |M7<sub>13</sub> | ||
|tridecimal neutral seventh | |tridecimal neutral seventh | ||
|- | |||
|[[50/27]] | |||
|1066.762 | |||
| {{sagittal| \\! |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|yoyo 7th, yy7 | |||
|M7<sup>5,5</sup> | |||
|grave major seventh | |||
|- | |- | ||
|[[13/7]] | |[[13/7]] | ||
|1071. | |1071.702 | ||
| {{sagittal| (!( |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|3or7, thoru 7th | |3or7, thoru 7th | ||
|m7<sup>13</sup><sub>7</sub> | |m7<sup>13</sup><sub>7</sub> | ||
|tridecimal submajor seventh, 16/3-tone | |tridecimal submajor seventh, 16/3-tone | ||
|- | |- | ||
|[[28/15]] | | [[28/15]] | ||
|1080. | | 1080.557 | ||
|zg8, zogu octave | | {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
|d8<sup>7</sup><sub>5</sub> | | zg8, zogu octave | ||
| grave major seventh, octave | | d8<sup>7</sup><sub>5</sub> | ||
| septimal grave major seventh, aberschismic diminished octave | |||
|- | |- | ||
|[[15/8]] | |[[15/8]] | ||
|1088. | |1088.269 | ||
| {{sagittal| \! |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|y7, yo 7th | |y7, yo 7th | ||
|M7<sup>5</sup> | |M7<sup>5</sup> | ||
| Line 1,274: | Line 2,071: | ||
|- | |- | ||
|[[32/17]] | |[[32/17]] | ||
|1095. | |1095.045 | ||
| {{sagittal| ~!( |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|17u7, su 7th | |17u7, su 7th | ||
|M7<sub>17</sub> | |M7<sub>17</sub> | ||
| Line 1,280: | Line 2,078: | ||
|- | |- | ||
|[[17/9]] | |[[17/9]] | ||
|1101. | |1101.045 | ||
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|17o8, iso octave | |17o8, iso octave | ||
|d8<sup>17</sup> | |d8<sup>17</sup> | ||
| Line 1,286: | Line 2,085: | ||
|- | |- | ||
|[[36/19]] | |[[36/19]] | ||
|1106. | |1106.397 | ||
| {{sagittal| !( |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|19u7, inu 7th | |19u7, inu 7th | ||
|M7<sub>19</sub> | |M7<sub>19</sub> | ||
| Line 1,292: | Line 2,092: | ||
|- | |- | ||
| [[243/128]] | | [[243/128]] | ||
| 1109. | | 1109.775 | ||
|Lw7, | | {{sagittal|ntBhf|size=400%}}   | ||
|Lw7, lawa 7th | |||
|M7 | |M7 | ||
|Pythagorean major seventh, [[octave-reduced]] 243rd harmonic | |Pythagorean major seventh, [[octave-reduced]] 243rd harmonic | ||
|- | |- | ||
|[[19/10]] | |[[19/10]] | ||
|1111. | |1111.199 | ||
| {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|19og8, nogu 8ve | |19og8, nogu 8ve | ||
|d8<sup>19</sup><sub>5</sub> | |d8<sup>19</sup><sub>5</sub> | ||
|undevicesimal diminished octave, Eratosthenes' major seventh | |undevicesimal diminished octave, Eratosthenes' major seventh | ||
|- | |- | ||
|[[40/21]] | | [[40/21]] | ||
|1115. | | 1115.533 | ||
|ry7, ruyo 7th | | {{sagittal| |( |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
|M7<sup>5</sup><sub>7</sub> | | ry7, ruyo 7th | ||
|septimal acute major seventh | | M7<sup>5</sup><sub>7</sub> | ||
| septimal acute major seventh, aberschismic major seventh | |||
|- | |- | ||
|[[61/32]] | |[[61/32]] | ||
|1116. | |1116.885 | ||
| {{sagittal| |( |size=300%}}{{sagittal|ntBbl|size=400%}}   | |||
|61o7, siwo 7th | |61o7, siwo 7th | ||
|M7<sup>61</sup> | |M7<sup>61</sup> | ||
|octave-reduced 61st harmonic | |octave-reduced 61st harmonic | ||
|- | |||
|[[21/11]] | |||
|1119.463 | |||
| {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|1uz8, luzo 8ve | |||
|P8<sup>7</sup><sub>11</sub> | |||
|large undecimal diminished octave, undecimal major seventh | |||
|- | |||
|[[44/23]] | |||
|1123.044 | |||
| {{sagittal| (|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|23u1o7, twethulo 7th | |||
|d8<sup>11</sup><sub>23</sub> | |||
|small vicesimotertial major seventh | |||
|- | |||
|[[23/12]] | |||
|1126.319 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|23o8, twetho 8ve | |||
|M7<sup>23</sup> | |||
|large vicesimotertial major seventh | |||
|- | |- | ||
|[[48/25]] | |[[48/25]] | ||
|1129. | |1129.328 | ||
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|gg8, gugu octave | |gg8, gugu octave | ||
|d8<sub>25</sub> | |d8<sub>25</sub> | ||
|classic diminished octave | |classic diminished octave | ||
|- | |- | ||
|[[27/14]] | |[[25/13]] | ||
|1137. | |1132.100 | ||
|r7, ru 7th | | {{sagittal| /| |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
|3uyy7, thuyoyo 7th | |||
|A7<sup>5,5</sup><sub>13</sub> | |||
|lesser tridecimal diminished octave | |||
|- | |||
| [[27/14]] | |||
| 1137.039 | |||
| {{sagittal| |) |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| r7, ru 7th | |||
| M7<sub>7</sub> | | M7<sub>7</sub> | ||
|supermajor seventh, septimal major seventh | | supermajor seventh, septimal major seventh | ||
|- | |- | ||
|[[31/16]] | |[[31/16]] | ||
|1145. | |1145.036 | ||
| {{sagittal| \!/ |size=300%}}{{sagittal|ntCbl|size=400%}}   | |||
|31o7, thiwo 7th | |31o7, thiwo 7th | ||
|M7<sup>31</sup> | |M7<sup>31</sup> | ||
| Line 1,334: | Line 2,169: | ||
|- | |- | ||
|[[64/33]] | |[[64/33]] | ||
|1146. | |1146.727 | ||
| {{sagittal| \!/ |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|1u8, lu octave | |1u8, lu octave | ||
| P8<sub>11</sub> | | P8<sub>11</sub> | ||
| Line 1,340: | Line 2,176: | ||
|- | |- | ||
|[[35/18]] | |[[35/18]] | ||
|1151. | |1151.240 | ||
| {{sagittal| \!) |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
|zy8, zoyo octave | |zy8, zoyo octave | ||
|P8<sup>35</sup> | |P8<sup>35</sup> | ||
| Line 1,346: | Line 2,183: | ||
|- | |- | ||
|[[96/49]] | |[[96/49]] | ||
|1164. | |1164.303 | ||
| {{sagittal| /|\ |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
|rr7, ruru 7th | |rr7, ruru 7th | ||
|M7<sub>49</sub> | |M7<sub>49</sub> | ||
| | |septimal ultramajor seventh | ||
|- | |- | ||
|[[49/25]] | |[[49/25]] | ||
| 1165. | | 1165.024 | ||
| {{sagittal| )!( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
|zzgg9, bizogu 9th | |zzgg9, bizogu 9th | ||
|d9<sup>49</sup><sub>25</sub> | |d9<sup>49</sup><sub>25</sub> | ||
|BP eighth | |BP eighth | ||
|- | |- | ||
|[[160/81]] | | [[63/32]] | ||
|1178. | | 1172.736 | ||
|y8, yo octave | | {{sagittal| !) |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
|P8<sup>5</sup> | | z8, zo octave | ||
|octave | | P8<sup>7</sup> | ||
| septimal suboctave, octave-reduced 63rd harmonic | |||
|- | |||
| [[160/81]] | |||
| 1178.494 | |||
| {{sagittal| \! |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| y8, yo octave | |||
| P8<sup>5</sup> | |||
| syntonic suboctave | |||
|- | |||
| [[255/128]] | |||
| 1193.224 | |||
| {{sagittal| !( |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 17oy8, soyo octave | |||
| P8<sup>85</sup> | |||
| charismic suboctave, octave-reduced 255th harmonic | |||
|- | |- | ||
|[[2/1]] | |[[2/1]] | ||
| 1200 | | 1200.000 | ||
| {{sagittal|ntChf|size=400%}}   | |||
|w8, wa octave | |w8, wa octave | ||
|P8 | |P8 | ||
|[[Octave|octave]], [[Wikipedia:Diapason|diapason]] | |[[Octave|octave]], [[Wikipedia:Diapason|diapason]] | ||
|} | |} | ||
Notes<references group=note/> | |||
=Intervals larger than an octave= | === Intervals larger than an octave === | ||
{| class="wikitable sortable right-3" | |||
{| class="wikitable sortable" | |||
|- | |- | ||
! | ! Frequency Ratio | ||
! | ! Cents Value<br>(7 sig. dig.) | ||
! [[Sagittal notation|Sagittal <br> notation]] | |||
( | ! colspan="2" |[[Color notation|Color Name]] | ||
! colspan="2" |[[Color notation| | ! FJS Name | ||
!FJS | ! Some common names | ||
! | |- | ||
| [[27/13]] | |||
| 1265.337 | |||
| <ref group=note>The [[Sagittal]] column shows a pitch-class-sensitive [[Sagittal_notation#Athenian|Athenian]] [[Sagittal_notation#Evo|Evo]] notation with 1/1 = C. A white notehead {{sagittal|nhhf|size=300%}} indicates exact notation while black {{sagittal|nhbl|size=300%}} indicates approximation (typically within 2 ¢).</ref>  {{sagittal| (|\ |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 3u8 | |||
| thu8ve     <ref group=note>In the color names, "co" or "c" stands for compound, {{w|Interval (music) #Compound intervals|a conventional music term}}.</ref> | |||
| A8<sub>13</sub> <ref group=note>If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.</ref> | |||
| Luxembourg eighth | |||
|- | |||
| [[23/11]] | |||
| 1276.956 | |||
| {{sagittal| (!( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| 23o1u9 | |||
| twetholu 9th | |||
| A8<sup>23</sup><sub>11</sub> | |||
| vicesimotertial minor ninth | |||
|- | |||
| [[19/9]] | |||
| 1293.603 | |||
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 19o9 | |||
| ino 9th | |||
| m9<sup>19</sup> | |||
| undevicesimal minor ninth | |||
|- | |||
| [[17/8]] | |||
| 1304.955 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 17o9 | |||
| iso 9th | |||
| m9<sup>17</sup> | |||
| septendecimal minor ninth | |||
|- | |||
| [[32/15]] | |||
| 1311.731 | |||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| g9 | |||
| gu 9th | |||
| m9<sub>5</sub> | |||
| classic minor ninth | |||
|- | |||
| [[15/7]] | |||
| 1319.443 | |||
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| ry8 | |||
| ruyo 8ve | |||
| A8<sup>5</sup><sub>7</sub> | |||
| septimal minor ninth | |||
|- | |||
| [[13/6]] | |||
| 1338.573 | |||
| {{sagittal| (!/ |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 3o9 | |||
| tho 9th | |||
| m9<sup>13</sup> | |||
| tridecimal minor ninth, tridecimal neutral ninth | |||
|- | |||
| [[11/5]] | |||
| 1365.004 | |||
| {{sagittal| (!( |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| 1o9 | |||
| ilo 9th | |||
| m9<sup>11</sup><sub>5</sub> | |||
| neutral ninth | |||
|- | |||
| [[20/9]] | |||
| 1382.404 | |||
| {{sagittal| \! |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| y9 | |||
| yo 9th | |||
| M9<sup>5</sup> | |||
| Ptolemaic ninth | |||
|- | |- | ||
|[[ | | [[9/4]] | ||
| | | 1403.910 | ||
| | | {{sagittal|ntDhf|size=400%}}   | ||
| | | w9 | ||
| | | wa 9th | ||
| | | M9 | ||
| major ninth | |||
|- | |- | ||
|[[11 | | [[25/11]] | ||
| | | 1421.309 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| | | 1uyy9 | ||
| | | luyoyo 9th | ||
| | | A9<sup>25</sup><sub>11</sub> | ||
| undecimal major ninth | |||
|- | |- | ||
| [[16/7]] | | [[16/7]] | ||
|1431.174 | | 1431.174 | ||
|r9 | | {{sagittal| |) |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
|ru 9th | | r9 | ||
|M9<sub>7</sub> | | ru 9th | ||
|septimal major ninth | | M9<sub>7</sub> | ||
| septimal major ninth | |||
|- | |- | ||
| [[7/3]] | | [[7/3]] | ||
|1466.871 | | 1466.871 | ||
|z10 | | {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|zo 10th | | z10 | ||
|m10<sup>7</sup> | | zo 10th | ||
|septimal minor tenth | | m10<sup>7</sup> | ||
| septimal minor tenth | |||
|- | |||
| [[19/8]] | |||
| 1497.513 | |||
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| 19o3 | |||
| ino 10th | |||
| | |||
| undevicesimal minor tenth | |||
|- | |||
| [[12/5]] | |||
| 1515.641 | |||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| g10 | |||
| gu 10th | |||
| m10<sub>5</sub> | |||
| classic minor tenth | |||
|- | |||
| [[17/7]] | |||
| 1536.130 | |||
| {{sagittal| //| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEbl|size=400%}}   | |||
| 17or10 | |||
| soru 10th | |||
| m10<sup>17</sup><sub>7</sub> | |||
| septendecimal minor tenth | |||
|- | |||
| [[27/11]] | |||
| 1554.547 | |||
| {{sagittal| \!/ |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| c1u3 | |||
| colu 3rd | |||
| M10<sub>11</sub> | |||
| rastmic neutral tenth | |||
|- | |- | ||
| [[5/2]] | | [[5/2]] | ||
|1586.314 | | 1586.314 | ||
|y10 | | {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
|yo 10th | | y10 | ||
|M10<sup>5</sup> | | yo 10th | ||
| | | M10<sup>5</sup> | ||
| classic major tenth | |||
|- | |||
| [[18/7]] | |||
| 1635.084 | |||
| {{sagittal| |) |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| r10 | |||
| ru 10th | |||
| | |||
| septimal supermajor tenth | |||
|- | |||
| [[13/5]] | |||
| 1654.214 | |||
| {{sagittal| \\! |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 3og11 | |||
| thogu 11th | |||
| d11<sup>13</sup><sub>5</sub> | |||
| tridecimal eleventh | |||
|- | |||
| [[21/8]] | |||
| 1670.781 | |||
| {{sagittal| !) |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| z11 | |||
| zo 11th | |||
| | |||
| septimal subeleventh | |||
|- | |||
| [[8/3]] | |||
| 1698.045 | |||
| {{sagittal|ntFhf|size=400%}}   | |||
| w11, cw4 | |||
| wa 11th, cowa 4th | |||
| P11 | |||
| perfect eleventh | |||
|- | |||
| [[19/7]] | |||
| 1728.687 | |||
| {{sagittal| (| |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 19or11 | |||
| noru 11th | |||
| | |||
| undevicesimal supereleventh | |||
|- | |||
| [[11/4]] | |||
| 1751.318 | |||
| {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| 1o11, c1o4 | |||
| ilo 11th, colo 4th | |||
| P11<sup>11</sup> | |||
| undecimal semi-augmented eleventh | |||
|- | |||
| [[14/5]] | |||
| 1782.512 | |||
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| zg12, czg5 | |||
| zogu 12th, cozogu 5th | |||
| d12<sup>7</sup><sub>5</sub> | |||
| short septimal navatone | |||
|- | |||
| [[17/6]] | |||
| 1803.000 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| 17o12 | |||
| iso 12th | |||
| d12<sup>17</sup> | |||
| septendecimal navatone | |||
|- | |||
| [[20/7]] | |||
| 1817.488 | |||
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| ry11 | |||
| ruyo 11th | |||
| A11<sup>5</sup><sub>7</sub> | |||
| tall septimal navatone | |||
|- | |- | ||
|[[8 | | [[23/8]] | ||
| | | 1828.274 | ||
| | | {{sagittal| ~|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | 23o12 | ||
| | | twetho 12th | ||
| | | A11<sup>23</sup> | ||
| trivigintal navatone | |||
|- | |- | ||
|[[ | | [[35/12]] | ||
| | | 1853.185 | ||
| | | {{sagittal| \!) |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
| | | zy12, czy5 | ||
| | | zoyo 12th, cozoyo 5th | ||
| | | | ||
| septimal semi-diminished twelfth | |||
|- | |- | ||
|[[3/1]] | | [[3/1]] | ||
|1901.955 | | 1901.955 | ||
|w12, cw5 | | {{sagittal|ntGhf|size=400%}}   | ||
|wa 12th, | | w12, cw5 | ||
| wa 12th, cowa 5th | |||
| P12 | | P12 | ||
|tritave | | 3rd harmonic, perfect twelfth, tritave | ||
|- | |||
| [[28/9]] | |||
| 1964.916 | |||
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| z13, cz6 | |||
| zo 13th, cozo 6th | |||
| | |||
| septimal subminor thirteenth | |||
|- | |||
| [[19/6]] | |||
| 1995.558 | |||
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| 19o13, c19o6 | |||
| ino 13th, cono 6th | |||
| | |||
| undevicesimal minor thirteenth | |||
|- | |- | ||
|[[16/5]] | | [[16/5]] | ||
|2013.686 | | 2013.686 | ||
|g13, cg6 | | {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
|gu 13th, | | g13, cg6 | ||
|m13<sub>5</sub> | | gu 13th, cogu 6th | ||
| | | m13<sub>5</sub> | ||
| classic minor thirteenth | |||
|- | |- | ||
|[[13/4]] | | [[13/4]] | ||
|2040.528 | | 2040.528 | ||
| {{sagittal| (!/ |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| 3o13, c3o6 | | 3o13, c3o6 | ||
|tho 13th, | | tho 13th, cotho 6th | ||
|m13<sup>13</sup> | | m13<sup>13</sup> | ||
| | | tridecimal neutral thirteenth | ||
|- | |||
| [[23/7]] | |||
| 2059.448 | |||
| {{sagittal| //| |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| c23or13, c23or6 | |||
| cotwethoru 6th | |||
| | |||
| trivigintal neutral/submajor thirteenth | |||
|- | |||
| [[10/3]] | |||
| 2084.359 | |||
| {{sagittal| \! |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| y13, cy6 | |||
| yo 13th, coyo 6th | |||
| M13<sup>5</sup> | |||
| just/classic(al)/ptolemaic major thirteenth | |||
|- | |||
| [[17/5]] | |||
| 2118.642 | |||
| {{sagittal| (|( |size=300%}}{{sagittal| bb |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| c17og7 | |||
| cosogu 7th | |||
| d14<sup>17</sup><sub>5</sub> | |||
| septendecimal major thirteenth | |||
|- | |- | ||
|[[ | | [[24/7]] | ||
| | | 2133.129 | ||
| | | {{sagittal| |) |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
| | | r13, cr6 | ||
| | | ru 13th, coru 6th | ||
| | | | ||
| septimal supermajor thirteenth | |||
|- | |- | ||
| [[7/2]] | | [[7/2]] | ||
|2168.826 | | 2168.826 | ||
|cz7 | | {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | ||
| | | cz7 | ||
|m14<sup>7</sup> | | cozo 7th | ||
| | | m14<sup>7</sup> | ||
| harmonic fourteenth | |||
|- | |||
| [[32/9]] | |||
| 2196.090 | |||
| {{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| cw7 | |||
| cowa 7th | |||
| | |||
| 3-limit minor fourteenth | |||
|- | |||
| [[18/5]] | |||
| 2217.596 | |||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| cg7 | |||
| cogu 7th | |||
| m14<sub>5</sub> | |||
| 5-limit minor fourteenth | |||
|- | |||
| [[11/3]] | |||
| 2249.363 | |||
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| c1o7 | |||
| colo 7th | |||
| m14<sup>11</sup> | |||
| undecimal neutral fourteenth | |||
|- | |||
| [[15/4]] | |||
| 2288.269 | |||
| {{sagittal| \! |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| cy7 | |||
| coyo 7th | |||
| M14<sup>5</sup> | |||
| just/classic(al)/ptolemaic major fourteenth | |||
|- | |- | ||
|[[ | | [[19/5]] | ||
| | | 2311.199 | ||
| | | {{sagittal| |) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| | | c19og8 | ||
| | | nogu double 8ve | ||
| | | | ||
| undevicesimal major fourteenth | |||
|- | |- | ||
|[[ | | [[35/9]] | ||
| | | 2351.230 | ||
| | | {{sagittal| \!) |size=300%}}{{sagittal|ntChf|size=400%}}   | ||
| | | czy8 | ||
| | | zoyo double 8ve | ||
| | | | ||
| septimal semi-augmented fourteenth | |||
|- | |- | ||
| [[4/1]] | | [[4/1]] | ||
|2400.000 | | 2400.000 | ||
| cw8 | | {{sagittal|ntChf|size=400%}}   | ||
|wa double 8ve | | cw8, ccw1 | ||
|P15 | | wa double 8ve | ||
|4th harmonic, two octaves | | P15 | ||
| 4th harmonic, two octaves, just double octave | |||
|- | |||
| [[81/20]] | |||
| 2421.506 | |||
| {{sagittal| /| |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| cg8, ccg1 | |||
| gu double 8ve | |||
| P15<sub>5</sub> | |||
| syntonic double octave | |||
|- | |||
| [[25/6]] | |||
| 2470.672 | |||
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| cyy8, ccyy1 | |||
| yoyo double 8ve | |||
| | |||
| classic chromatic minor sixteenth | |||
|- | |||
| [[17/4]] | |||
| 2504.955 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| c17o9, cc17o2 | |||
| coso 9th, cocoso 2nd | |||
| m16<sup>17</sup> | |||
| septendecimal minor sixteenth | |||
|- | |||
| [[64/15]] | |||
| 2511.731 | |||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| cg9, ccg2 | |||
| cogu 9th, cocogu 2nd | |||
| m16<sub>5</sub> | |||
| classic minor sixteenth | |||
|- | |||
| [[13/3]] | |||
| 2538.573 | |||
| {{sagittal| (!/ |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| c3o9, cc3o2 | |||
| cotho 9th, cocotho 2nd | |||
| m16<sup>13</sup> | |||
| tridecimal minor sixteenth | |||
|- | |||
| [[22/5]] | |||
| 2565.004 | |||
| {{sagittal| (!( |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| c1og9, cc1og2 | |||
| coco-logu 2nd | |||
| | |||
| large undecimal neutral sixteenth | |||
|- | |- | ||
|[[ | | [[9/2]] | ||
| | | 2603.910 | ||
| | | {{sagittal|ntDhf|size=400%}}   | ||
| | | cw9, ccw2 | ||
| | | cowa 9th, cocowa 2nd | ||
| | | M16 | ||
| classic large major sixteenth | |||
|- | |- | ||
|[[ | | [[23/5]] | ||
| | | 2641.961 | ||
| | | {{sagittal| (|( |size=300%}}{{sagittal|ntDhf|size=400%}}   | ||
| | | cc23og3 | ||
| | | coco-twethogu 3rd | ||
| | | | ||
| trivigintal supermajor sixteenth | |||
|- | |- | ||
|[[14/3]] | | [[14/3]] | ||
| 2666.871 | | 2666.871 | ||
| | | {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | ccz3 | ||
|m17<sup>7</sup> | | cocozo 3rd | ||
| | | m17<sup>7</sup> | ||
| septimal subminor seventeenth | |||
|- | |||
| [[19/4]] | |||
| 2696.513 | |||
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| cc19o3 | |||
| cocono 3rd | |||
| | |||
| undevicesimal minor seventeenth | |||
|- | |||
| [[24/5]] | |||
| 2715.641 | |||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| ccg3 | |||
| cocogu 3rd | |||
| | |||
| classic minor seventeenth | |||
|- | |||
| [[44/9]] | |||
| 2747.408 | |||
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| cc1o3 | |||
| cocolo 3rd | |||
| | |||
| undecimal neutral seventeenth | |||
|- | |- | ||
|[[5/1]] | | [[5/1]] | ||
| 2786.314 | | 2786.314 | ||
| | | {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | ccy3 | ||
|M17<sup>5</sup> | | cocoyo 3rd | ||
| 5th harmonic | | M17<sup>5</sup> | ||
| 5th harmonic, pentave | |||
|- | |||
| [[36/7]] | |||
| 2835.084 | |||
| {{sagittal| |) |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| ccr3 | |||
| cocoru 3rd | |||
| | |||
| septimal supermajor seventeenth | |||
|- | |||
| [[21/4]] | |||
| 2870.781 | |||
| {{sagittal| !) |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| ccz4 | |||
| cocozo 4th | |||
| | |||
| septimal subeighteenth | |||
|- | |||
| [[16/3]] | |||
| 2898.045 | |||
| {{sagittal|ntFhf|size=400%}}   | |||
| ccw4 | |||
| cocowa 4th | |||
| P18 | |||
| perfect eighteenth | |||
|- | |- | ||
|[[ | | [[27/5]] | ||
| | | 2919.551 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | ccg4 | ||
| | | cocogu 4th | ||
| | | | ||
| 5-limit supereighteenth | |||
|- | |- | ||
|[[11/2]] | | [[11/2]] | ||
|2951.318 | | 2951.318 | ||
| {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| cc1o4 | | cc1o4 | ||
| | | cocolo 4th | ||
|P18<sup>11</sup> | | P18<sup>11</sup> | ||
| | | undecimal semi-augmented eighteenth | ||
|- | |||
| [[28/5]] | |||
| 2982.512 | |||
| {{sagittal| !( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| cczg5 | |||
| coco-zogu 5th | |||
| d19<sup>7</sup><sub>5</sub> | |||
| short septimal panchadashatone | |||
|- | |||
| [[45/8]] | |||
| 2990.224 | |||
| {{sagittal| \! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| ccy4 | |||
| cocoyo 4th | |||
| A18<sup>5</sup> | |||
| quinquadragintimal panchadashatone | |||
|- | |||
| [[17/3]] | |||
| 3003.000 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| cc17o5 | |||
| cocoso 5th | |||
| d19<sup>17</sup> | |||
| septendecimal panchadasatone | |||
|- | |||
| [[40/7]] | |||
| 3017.488 | |||
| {{sagittal| |( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| ccry4 | |||
| coco-ruyo 4th | |||
| A18<sup>5</sup><sub>7</sub> | |||
| tall septimal panchadashatone | |||
|- | |||
| [[23/4]] | |||
| 3028.274 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| cc23o5 | |||
| coco-twetho 5th | |||
| | |||
| vicesimotertial panchadashatone | |||
|- | |||
| [[35/6]] | |||
| 3053.185 | |||
| {{sagittal| \!) |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| cczy5 | |||
| coco-zoyo 5th | |||
| | |||
| septimal semi-diminished nineteenth | |||
|- | |||
| [[6/1]] | |||
| 3101.955 | |||
| {{sagittal|ntGhf|size=400%}}   | |||
| ccw5 | |||
| cocowa 5th | |||
| P19 | |||
| 6th harmonic | |||
|- | |||
| [[55/9]] | |||
| 3133.722 | |||
| {{sagittal| (| |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| cc1og5 | |||
| coco-logu 5th | |||
| | |||
| undecimal superninteenth | |||
|- | |||
| [[25/4]] | |||
| 3172.627 | |||
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}   | |||
| ccyy5 | |||
| coco-yoyo 5th | |||
| | |||
| 5-limit subminor twentieth | |||
|- | |||
| [[19/3]] | |||
| 3195.558 | |||
| {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| cc19o6 | |||
| cocono 6th | |||
| | |||
| undevicesimal minor twentieth | |||
|- | |- | ||
|[[ | | [[32/5]] | ||
| | | 3213.686 | ||
| | | {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
| | | ccg6 | ||
| | | cocogu 6th | ||
| | | | ||
| classic minor twentieth | |||
|- | |- | ||
|[[13/2]] | | [[13/2]] | ||
|3240.528 | | 3240.528 | ||
| {{sagittal| (!/ |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| cc3o6 | | cc3o6 | ||
| | | cocotho 6th | ||
|m20<sup>13</sup> | | m20<sup>13</sup> | ||
| | | tridecimal neutral twentieth | ||
|- | |||
| [[20/3]] | |||
| 3284.359 | |||
| {{sagittal| \! |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| ccy6 | |||
| cocoyo 6th | |||
| | |||
| classic major twentieth | |||
|- | |||
| [[48/7]] | |||
| 3333.129 | |||
| {{sagittal| |) |size=300%}}{{sagittal|ntAhf|size=400%}}   | |||
| ccr6 | |||
| cocoru 6th | |||
| | |||
| septimal supermajor twentieth | |||
|- | |||
| [[7/1]] | |||
| 3368.826 | |||
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| ccz7 | |||
| cocozo 7th | |||
| m21<sup>7</sup> | |||
| 7th harmonic | |||
|- | |||
| [[36/5]] | |||
| 3417.596 | |||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| ccg7 | |||
| cocogu 7th | |||
| | |||
| 5-limit minor twentyfirst | |||
|- | |||
| [[22/3]] | |||
| 3449.363 | |||
| {{sagittal| /|\ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| cc1o7 | |||
| cocolo 7th | |||
| | |||
| undecimal neutral twentyfirst | |||
|- | |||
| [[15/2]] | |||
| 3488.269 | |||
| {{sagittal| \! |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| ccy7 | |||
| cocoyo 7th | |||
| M21<sup>5</sup> | |||
| just/classic(al)/ptolemaic major twentyfirst | |||
|- | |||
| [[23/3]] | |||
| 3526.319 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| c<sup>3</sup>23o1 | |||
| twetho triple 8ve | |||
| | |||
| vicesimotertial supermajor twentyfirst | |||
|- | |||
| [[31/4]] | |||
| 3545.036 | |||
| {{sagittal| \!/ |size=300%}}{{sagittal|ntCbl|size=400%}}   | |||
| c<sup>3</sup>31o1 | |||
| thiwo triple 8ve | |||
| | |||
| 31-limit semi-augmented twentyfirst | |||
|- | |||
| [[8/1]] | |||
| 3600.000 | |||
| {{sagittal|ntChf|size=400%}}   | |||
| c<sup>3</sup>w1 | |||
| wa triple 8ve | |||
| P22 | |||
| 8th harmonic, three octaves | |||
|- | |||
| [[33/4]] | |||
| 3653.273 | |||
| {{sagittal| /|\ |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| c<sup>3</sup>1o1 | |||
| ilo triple 8ve | |||
| | |||
| undecimal semi-diminished twentythird | |||
|- | |||
| [[25/3]] | |||
| 3670.672 | |||
| {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntChf|size=400%}}   | |||
| c<sup>3</sup>yy1 | |||
| yoyo triple 8ve | |||
| | |||
| classic chromatic twentythird | |||
|- | |||
| [[17/2]] | |||
| 3704.955 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| c<sup>3</sup>17o2 | |||
| tricoso 2nd | |||
| | |||
| septendecimal minor twentythird | |||
|- | |||
| [[128/15]] | |||
| 3711.731 | |||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| c<sup>3</sup>g2 | |||
| tricogu 2nd | |||
| m23<sub>5</sub> | |||
| classic minor twenty-third | |||
|- | |||
| [[26/3]] | |||
| 3738.573 | |||
| {{sagittal| (!/ |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| c<sup>3</sup>3o2 | |||
| tricotho 2nd | |||
| | |||
| tridecimal neutral twentythird | |||
|- | |||
| [[35/4]] | |||
| 3755.140 | |||
| {{sagittal| \!) |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| c<sup>3</sup>zy2 | |||
| trico-zoyo 2nd | |||
| | |||
| septimal neutral twentythird | |||
|- | |||
| [[9/1]] | |||
| 3803.910 | |||
| {{sagittal|ntDhf|size=400%}}   | |||
| c<sup>3</sup>w2 | |||
| tricowa 2nd | |||
| M23 | |||
| 9th harmonic | |||
|- | |||
| [[10/1]] | |||
| 3986.314 | |||
| {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}   | |||
| c<sup>3</sup>y3 | |||
| tricoyo 3rd | |||
| M24<sup>5</sup> | |||
| 10th harmonic, decade | |||
|- | |||
| [[11/1]] | |||
| 4151.318 | |||
| {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}   | |||
| c<sup>3</sup>1o4 | |||
| tricolo 4th | |||
| P25<sup>11</sup> | |||
| 11th harmonic | |||
|- | |||
| [[12/1]] | |||
| 4301.955 | |||
| {{sagittal|ntGhf|size=400%}}   | |||
| c<sup>3</sup>w5 | |||
| tricowa 5th | |||
| P26 | |||
| 12th harmonic | |||
|- | |||
| [[13/1]] | |||
| 4440.528 | |||
| {{sagittal| /|) |size=300%}}{{sagittal|ntGbl|size=400%}}   | |||
| c<sup>3</sup>3o6 | |||
| tricotho 6th | |||
| m27<sup>13</sup> | |||
| 13th harmonic | |||
|- | |||
| [[14/1]] | |||
| 4568.826 | |||
| {{sagittal| !) |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| c<sup>3</sup>z7 | |||
| tricozo 7th | |||
| m28<sup>7</sup> | |||
| 14th harmonic | |||
|- | |||
| [[15/1]] | |||
| 4688.269 | |||
| {{sagittal| \! |size=300%}}{{sagittal|ntBhf|size=400%}}   | |||
| c<sup>3</sup>y7 | |||
| tricoyo 7th | |||
| M28<sup>5</sup> | |||
| 15th harmonic | |||
|- | |||
| [[16/1]] | |||
| 4800.000 | |||
| {{sagittal|ntChf|size=400%}}   | |||
| c<sup>4</sup>w1 | |||
| wa quadruple 8ve | |||
| P29 | |||
| 16th harmonic, four octaves | |||
|- | |||
| [[17/1]] | |||
| 4904.955 | |||
| {{sagittal| ~|( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| c<sup>4</sup>17o2 | |||
| quadcoso 2nd | |||
| m30<sup>17</sup> | |||
| 17th harmonic | |||
|- | |||
| [[256/15]] | |||
| 4911.731 | |||
| {{sagittal| /| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntDhf|size=400%}}   | |||
| c<sup>4</sup>g2 | |||
| quadcogu 2nd | |||
| m30<sub>5</sub> | |||
| classic minor thirtieth | |||
|- | |||
| [[18/1]] | |||
| 5004.910 | |||
| {{sagittal|ntDhf|size=400%}}   | |||
| c<sup>4</sup>w2 | |||
| quadcowa 2nd | |||
| M30 | |||
| 18th harmonic | |||
|- | |- | ||
|[[ | | [[19/1]] | ||
| | | 5097.513 | ||
| | | {{sagittal| |( |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | c<sup>4</sup>19o3 | ||
| | | quadcono 3rd | ||
| | | m31<sup>19</sup> | ||
| 19th harmonic | |||
|- | |- | ||
|[[ | | [[20/1]] | ||
| | | 5186.314 | ||
| | | {{sagittal| \! |size=300%}}{{sagittal|ntEhf|size=400%}}   | ||
| | | c<sup>4</sup>y3 | ||
| | | quadcoyo 3rd | ||
| | | M31<sup>5</sup> | ||
| 20th harmonic | |||
|- | |- | ||
|[[ | | [[21/1]] | ||
| | | 5270.781 | ||
|c<sup> | | {{sagittal| !) |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | c<sup>4</sup>z4 | ||
| | | quadcozo 4th | ||
| | | P32<sup>7</sup> | ||
| 21st harmonic | |||
|- | |- | ||
|[[ | | [[22/1]] | ||
| | | 5351.318 | ||
|c<sup> | | {{sagittal| /|\ |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | c<sup>4</sup>1o4 | ||
| | | quadcolo 4th | ||
| | | P32<sup>11</sup> | ||
| 22nd harmonic | |||
|- | |- | ||
|[[ | | [[23/1]] | ||
| | | 5428.274 | ||
|c<sup> | | {{sagittal| ~|( |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntFhf|size=400%}}   | ||
| | | c<sup>4</sup>23o5 | ||
| | | quadco-twetho 5th | ||
| | | A32<sup>23</sup> | ||
| 23rd harmonic | |||
|- | |- | ||
|[[ | | [[24/1]] | ||
| | | 5501.955 | ||
|c<sup> | | {{sagittal|ntGhf|size=400%}}   | ||
| | | c<sup>4</sup>w5 | ||
| | | quadcowa 5th | ||
| | | P33 | ||
| 24th harmonic | |||
|- | |- | ||
|[[ | | [[25/1]] | ||
| | | 5572.617 | ||
|c<sup> | | {{sagittal| \\! |size=300%}}{{sagittal| # |size=300%}}{{sagittal|ntGhf|size=400%}}   | ||
| | | c<sup>4</sup>yy5 | ||
| | | quadco-yoyo 5th | ||
| | | A33<sup>5,5</sup> | ||
| 25th harmonic | |||
|- | |- | ||
|[[ | | [[27/1]] | ||
| | | 5705.865 | ||
|c<sup> | | {{sagittal|ntAhf|size=400%}}   | ||
| | | c<sup>4</sup>w6 | ||
| | | quadcowa 6th | ||
| | | M34 | ||
| 27th harmonic | |||
|- | |- | ||
|[[ | | [[29/1]] | ||
| | | 5829.577 | ||
|c<sup> | | {{sagittal| (| |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntBbl|size=400%}}   | ||
| | | c<sup>4</sup>29o7 | ||
| | | quadco-tweno 7th | ||
| | | m35<sup>29</sup> | ||
| 29th harmonic | |||
|- | |- | ||
|[[ | | [[31/1]] | ||
| | | 5945.036 | ||
|c<sup> | | {{sagittal| \!/ |size=300%}}{{sagittal|ntCbl|size=400%}}   | ||
| | | c<sup>4</sup>31o7 | ||
| | | quadco-thiwo 7th | ||
| | | M35<sup>31</sup> | ||
| 31st harmonic | |||
|- | |- | ||
|[[ | | [[49/1]] | ||
| | | 6737.652 | ||
|c<sup> | | {{sagittal| \!/ |size=300%}}{{sagittal| b |size=300%}}{{sagittal|ntAhf|size=400%}}   | ||
| | |c<sup>5</sup>zz6 | ||
| | |quinco-zozo 6th | ||
| | | M41<sup>7,7</sup> | ||
| 49th harmonic | |||
|} | |} | ||
Notes<references group=note /> | |||
=See also= | == See also == | ||
*[[List of superparticular intervals]] | * [[List of superparticular intervals]] | ||
* [[:Category:Lists of intervals]] - Other galleries of intervals with different inclusion criteria to this one | |||
=Links= | == Links == | ||
*[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by [[Margo Schulter]] [ | * [http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by [[Margo Schulter]] [https://www.webcitation.org/5xeoz4zmC Permalink] | ||
*[http://www.huygens-fokker.org/docs/intervals.html Manuel Op de Coul interval list] | * [http://www.huygens-fokker.org/docs/intervals.html Manuel Op de Coul interval list] | ||
*[http://www.kylegann.com/Octave.html Anantomy of an Octave] by [[Kyle Gann]] | * [http://www.kylegann.com/Octave.html Anantomy of an Octave] by [[Kyle Gann]] | ||
*[http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by [[Kite Giedraitis]] | * [http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by [[Kite Giedraitis]] | ||
*[https://misotanni.github.io/fjs/en/calc.html FJS interval calculators] | * [https://misotanni.github.io/fjs/en/calc.html FJS interval calculators] | ||
*[http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals] | * [http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals] | ||
[[Category: | [[Category:Lists]] | ||
[[Category: | [[Category:Lists of intervals| ]] | ||
[[Category:Just intonation]] | [[Category:Just intonation]] | ||