Gallery of just intervals - Revision history

HilariousHilarion: 9/5 was incorrectly classified as g5 instead of g7

2026-06-20T16:00:21Z

9/5 was incorrectly classified as g5 instead of g7

← Older revision		Revision as of 16:00, 20 June 2026
Line 1,982:		Line 1,982:
	\|1017.596		\|1017.596
	\| {{sagittal\| /\| \|size=300%}}{{sagittal\| b \|size=300%}}{{sagittal\|ntBhf\|size=400%}}&numsp;&numsp;		\| {{sagittal\| /\| \|size=300%}}{{sagittal\| b \|size=300%}}{{sagittal\|ntBhf\|size=400%}}&numsp;&numsp;
	\|g5, gu 7th		\|g7, gu 7th
	\|m7<sub>5</sub>		\|m7<sub>5</sub>
	\|classic minor seventh, large minor seventh		\|classic minor seventh, large minor seventh

Dave Keenan: /* Gallery of just intervals */ Fixed two sagittals that weren't the same size as the others.

2026-05-03T06:46:44Z

Gallery of just intervals: Fixed two sagittals that weren't the same size as the others.

← Older revision		Revision as of 06:46, 3 May 2026
Line 35:		Line 35:
	\| [[32805/32768]]		\| [[32805/32768]]
	\| 1.953721		\| 1.953721
	\| {{sagittal\| \! }}{{sagittal\| # \|size=300%}}{{sagittal\|ntBhf\|size=400%}}&numsp;&numsp;		\| {{sagittal\| \! \|size=300%}}{{sagittal\| # \|size=300%}}{{sagittal\|ntBhf\|size=400%}}&numsp;&numsp;
	\| Ly-2, Layoma		\| Ly-2, Layoma
	\| d-2<sup>5</sup>		\| d-2<sup>5</sup>
Line 49:		Line 49:
	\| [[225/224]]		\| [[225/224]]
	\| 7.711523		\| 7.711523
	\| {{sagittal\| ~!( }}{{sagittal\| # \|size=300%}}{{sagittal\|ntBhf\|size=400%}}&numsp;&numsp;		\| {{sagittal\| ~!( \|size=300%}}{{sagittal\| # \|size=300%}}{{sagittal\|ntBhf\|size=400%}}&numsp;&numsp;
	\| ryy-2, Ruyoyoma		\| ryy-2, Ruyoyoma
	\| d-2<sup>25</sup><sub>7</sub>		\| d-2<sup>25</sup><sub>7</sub>

TallKite: updated comma color names

2026-04-29T00:54:47Z

updated comma color names

Show changes

Dave Keenan: /* Gallery of just intervals */

2026-04-26T08:37:54Z

Gallery of just intervals

← Older revision		Revision as of 08:37, 26 April 2026
Line 28:		Line 28:
	\| [[1/1]]		\| [[1/1]]
	\| 0.000000		\| 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 ~~approximate~~ (typically within 2 ¢).</ref>&numsp;{{sagittal\|ntChf\|size=400%}}&numsp;&numsp;		\| <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>&numsp;{{sagittal\|ntChf\|size=400%}}&numsp;&numsp;
	\| w1, wa unison		\| w1, wa unison
	\| P1&numsp;&numsp;<ref group=note>If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.</ref>		\| P1&numsp;&numsp;<ref group=note>If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.</ref>
Line 2,238:		Line 2,238:
	\| [[27/13]]		\| [[27/13]]
	\| 1265.337		\| 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 ~~approximate~~ (typically within 2 ¢).</ref>&hairsp;&hairsp;{{sagittal\| (\|\ \|size=300%}}{{sagittal\|ntChf\|size=400%}}&numsp;&numsp;		\| <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>&hairsp;&hairsp;{{sagittal\| (\|\ \|size=300%}}{{sagittal\|ntChf\|size=400%}}&numsp;&numsp;
	\| 3u8		\| 3u8
	\| thu8ve&numsp;&numsp;&numsp;&numsp;&numsp;<ref group=note>In the color names, "co" or "c" stands for compound, {{w\|Interval (music) #Compound intervals\|a conventional music term}}.</ref>		\| thu8ve&numsp;&numsp;&numsp;&numsp;&numsp;<ref group=note>In the color names, "co" or "c" stands for compound, {{w\|Interval (music) #Compound intervals\|a conventional music term}}.</ref>

Dave Keenan: /* Gallery of just intervals */

2026-04-26T05:47:53Z

Gallery of just intervals

← Older revision		Revision as of 05:47, 26 April 2026
Line 2,099:		Line 2,099:
	\|-		\|-
	\|[[19/10]]		\|[[19/10]]
	\|1111.~~200~~		\|1111.199
	\| {{sagittal\| \|) \|size=300%}}{{sagittal\| b \|size=300%}}{{sagittal\|ntChf\|size=400%}}&numsp;&numsp;		\| {{sagittal\| \|) \|size=300%}}{{sagittal\| b \|size=300%}}{{sagittal\|ntChf\|size=400%}}&numsp;&numsp;
	\|19og8, nogu 8ve		\|19og8, nogu 8ve

Dave Keenan: /* Gallery of just intervals */

2026-04-26T05:43:48Z

Gallery of just intervals

← Older revision		Revision as of 05:43, 26 April 2026
Line 188:		Line 188:
	\|-		\|-
	\| [[100/97]]		\| [[100/97]]
	\| 52.~~73203~~		\| 52.73202
	\| {{sagittal\| (!) \|size=300%}}{{sagittal\| # \|size=300%}}{{sagittal\|ntCbl\|size=400%}}&numsp;&numsp;		\| {{sagittal\| (!) \|size=300%}}{{sagittal\| # \|size=300%}}{{sagittal\|ntCbl\|size=400%}}&numsp;&numsp;
	\| 97uyy1, ninety-suyoyo unison		\| 97uyy1, ninety-suyoyo unison

Dave Keenan: /* Gallery of just intervals */ Added a column with Sagittal notation. Many thanks to Douglas Blumeyer for his assistance. Also, to save width on phone screens, I consistently used 7 significant digits for Cents Values (instead of 6 decimal places up to the octave and 3 decimal places beyond the octave).

2026-04-26T05:30:49Z

Gallery of just intervals: Added a column with Sagittal notation. Many thanks to Douglas Blumeyer for his assistance. Also, to save width on phone screens, I consistently used 7 significant digits for Cents Values (instead of 6 decimal places up to the octave and 3 decimal places beyond the octave).

Show changes

Lucius Chiaraviglio: /* Gallery of just intervals */ Add 44/35 and 35/22

2026-03-24T06:20:55Z

Gallery of just intervals: Add 44/35 and 35/22

← Older revision		Revision as of 06:20, 24 March 2026
Line 758:		Line 758:
	\| M3<sup>5</sup>		\| M3<sup>5</sup>
	\| classic major third, just major third, octave-reduced 5th harmonic		\| classic major third, just major third, octave-reduced 5th harmonic
			\|-
			\|[[44/35]]
			\|396.178322
			\|1org3, lorugu 3rd
			\|n3<sup>11</sup><sub>5,7</sub>
			\|fwiwismic major third
	\|-		\|-
	\| [[161/128]]		\| [[161/128]]
Line 1,466:		Line 1,472:
	\|A5<sub>17</sub>		\|A5<sub>17</sub>
	\|septendecimal quasi-tempered minor sixth		\|septendecimal quasi-tempered minor sixth
			\|-
			\|[[35/22]]
			\|803.821678
			\|1uzy6, luzoyo 6th
			\|n6<sup>5,7</sup><sub>11</sub>
			\|fwiwismic minor sixth
	\|-		\|-
	\|[[8/5]]		\|[[8/5]]

Xenllium: /* Gallery of just intervals */

2026-02-11T00:42:00Z

Gallery of just intervals

← Older revision		Revision as of 00:42, 11 February 2026
Line 41:		Line 41:
	\| [[256/255]]		\| [[256/255]]
	\| 6.775876		\| 6.775876
	\| 17ug1		\| 17ug1, Sugu comma
	\| P1<sub>85</sub>		\| P1<sub>85</sub>
	\| charisma, charic comma, septendecimal kleisma		\| charisma, charic comma, septendecimal kleisma
Line 735:		Line 735:
	\|narrow perde segah, marvelous major third		\|narrow perde segah, marvelous major third
	\|-		\|-
	\|[[71/57]]		\| [[71/57]]
	\|380.228526		\| 380.228526
	\|71o19u3, seventy-wonu 3rd		\| 71o19u3, seventy-wonu 3rd
	\|M3<sup>71</sup><sub>19</sub>		\| M3<sup>71</sup><sub>19</sub>
	\| witchcraft major third		\| witchcraft major third
	\|-		\|-
	\|[[76/61]]		\| [[76/61]]
	\|380.628211		\| 380.628211
	\|61u19o4, siwuno 4th		\| 61u19o4, siwuno 4th
	\|d4<sup>19</sup><sub>61</sub>		\| d4<sup>19</sup><sub>61</sub>
	\|magic major third		\| magic major third
	\|-		\|-
	\|[[96/77]]		\| [[96/77]]
	\|381.811152		\| 381.811152
	\|1ur3, luru 3rd		\| 1ur3, luru 3rd
	\|M3<sub>77</sub>		\| M3<sub>77</sub>
	\|undecimal perde segah, keenanismic major third		\| undecimal perde segah, keenanismic major third
	\|-		\|-
	\|[[5/4]]		\| [[5/4]]
	\|386.313714		\| 386.313714
	\|y3, yo 3rd		\| y3, yo 3rd
	\|M3<sup>5</sup>		\| M3<sup>5</sup>
	\|classic major third, just major third, octave-reduced 5th harmonic		\| classic major third, just major third, octave-reduced 5th harmonic
	\|-		\|-
	\|[[161/128]]		\| [[161/128]]
	\|397.100254		\| 397.100254
	\|23oz4, twethozo 4th		\| 23oz4, twethozo 4th
	\|M3<sup>161</sup>		\| M3<sup>161</sup>
	\|just/Pythagorean major third meantone, octave-reduced 161th harmonic		\| just/Pythagorean major third meantone, octave-reduced 161th harmonic
	\|-		\|-
	\|[[34/27]]		\| [[34/27]]
	\|399.090407		\| 399.090407
	\|17o4, iso 4th		\| 17o4, iso 4th
	\|d4<sup>17</sup>		\| d4<sup>17</sup>
	\|septendecimal quasi-tempered major third		\| septendecimal quasi-tempered major third
	\|-		\|-
	\|[[63/50]]		\| [[63/50]]
	\|400.108480		\| 400.108480
	\|zgg4, zogugu 4th		\| zgg4, zogugu 4th
	\|d4<sup>7</sup><sub>25</sub>		\| d4<sup>7</sup><sub>25</sub>
	\|quasi-tempered major third		\| quasi-tempered major third
	\|-		\|-
	\|[[24/19]]		\| [[24/19]]
	\|404.441985		\| 404.441985
	\|19u3, inu 3rd		\| 19u3, inu 3rd
	\|M3<sub>19</sub>		\| M3<sub>19</sub>
	\|Boethius' major third		\| Boethius' major third
	\|-		\|-
	\|[[81/64]]		\| [[81/64]]
	\|407.820003		\| 407.820003
	\|Lw3, lawa 3rd		\| Lw3, lawa 3rd
	\|M3		\| M3
	\|Pythagorean major third, octave-reduced 81st harmonic		\| Pythagorean major third, octave-reduced 81st harmonic
	\|-		\|-
	\|[[19/15]]		\| [[19/15]]
	\|409.244301		\| 409.244301
	\|19og4, nogu 4th		\| 19og4, nogu 4th
	\|d4<sup>19</sup><sub>5</sub>		\| d4<sup>19</sup><sub>5</sub>
	\|Eratosthenes' major third		\| Eratosthenes' major third
	\|-		\|-
	\|[[33/26]]		\| [[33/26]]
	\|412.745281		\| 412.745281
	\|3u1o3, thulo 3rd		\| 3u1o3, thulo 3rd
	\|M3<sup>11</sup><sub>13</sub>		\| M3<sup>11</sup><sub>13</sub>
	\| tridecimal major third		\| tridecimal major third
	\|-		\|-
Line 807:		Line 807:
	\| 5/7-kleismic major third		\| 5/7-kleismic major third
	\|-		\|-
	\|[[14/11]]		\| [[14/11]]
	\|417.507964		\| 417.507964
	\|1uz4, luzo 4th		\| 1uz4, luzo 4th
	\|P4<sup>7</sup><sub>11</sub>		\| P4<sup>7</sup><sub>11</sub>
	\|undecimal major third, undecimal diminished fourth		\| undecimal major third, undecimal diminished fourth
	\|-		\|-
	\|[[23/18]]		\| [[23/18]]
	\|424.364346		\| 424.364346
	\|23o4, twetho 4th		\| 23o4, twetho 4th
	\|M3<sup>23</sup>		\| M3<sup>23</sup>
	\|vicesimotertial diminished fourth		\| vicesimotertial diminished fourth
	\|-		\|-
	\|[[32/25]]		\| [[32/25]]
	\|427.372572		\| 427.372572
	\|gg4, gugu 4th		\| gg4, gugu 4th
	\|d4<sub>25</sub>		\| d4<sub>25</sub>
	\|classic diminished fourth		\| classic diminished fourth
	\|-		\|-
	\|[[77/60]]		\| [[41/32]]
	\|431.875134		\| 429.062406
	\|1ozg4, lozogu 4th		\| 41o3, fowo 3rd
	\|d4<sup>77</sup><sub>5</sub>		\| M3<sup>41</sup>
	\|swetismic supermajor third		\| octave-reduced 41st harmonic, quadracesimoprimal supermajor third
			\|-
			\| [[77/60]]
			\| 431.875134
			\| 1ozg4, lozogu 4th
			\| d4<sup>77</sup><sub>5</sub>
			\| swetismic supermajor third
	\|-		\|-
	\| [[9/7]]		\| [[9/7]]

Xenllium: /* Gallery of just intervals */

2026-02-11T00:27:18Z

Gallery of just intervals

← Older revision		Revision as of 00:27, 11 February 2026
Line 920:		Line 920:
	\| A4<sup>5</sup><sub>11,11</sub>		\| A4<sup>5</sup><sub>11,11</sub>
	\| narrow biyatismic fourth		\| narrow biyatismic fourth
			\|-
			\| [[324/245]]
			\| 483.854477
			\| rrg3, rurugu 3rd
			\| M3<sub>5,7,7</sub>
			\| sensamagic fourth
	\|-		\|-
	\| [[85/64]]		\| [[85/64]]
Line 1,316:		Line 1,322:
	\| P5<sub>85</sub>		\| P5<sub>85</sub>
	\| archagall fifth, septendecimal subharmonic fifth		\| archagall fifth, septendecimal subharmonic fifth
			\|-
			\| [[245/162]]
			\| 716.145523
			\| zzy6, zozoyo 6th
			\| m6<sup>5,7,7</sup>
			\| sensamagic fifth
	\|-		\|-
	\| [[121/80]]		\| [[121/80]]
Line 1,395:		Line 1,407:
	\| subminor sixth, septimal minor sixth		\| subminor sixth, septimal minor sixth
	\|-		\|-
	\|[[25/16]]		\| [[25/16]]
	\|772.627428		\| 772.627428
	\|yy5, yoyo 5th		\| yy5, yoyo 5th
	\|A5<sup>25</sup>		\| A5<sup>25</sup>
	\|pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic		\| pental augmented fifth, classic augmented fifth, otonal minor sixth, octave-reduced 25th harmonic
	\|-		\|-
	\|[[36/23]]		\| [[36/23]]
	\|775.635654		\| 775.635654
	\|23u5, twethu 5th		\| 23u5, twethu 5th
	\|m6<sub>23</sub>		\| m6<sub>23</sub>
	\|vicesimotertial augmented fifth		\| vicesimotertial augmented fifth
	\|-		\|-
	\|[[11/7]]		\| [[11/7]]
	\|782.492036		\| 782.492036
	\|1or5, loru 5th		\| 1or5, loru 5th
	\|P5<sup>11</sup><sub>7</sub>		\| P5<sup>11</sup><sub>7</sub>
	\|undecimal subminor sixth, undecimal augmented fifth		\| undecimal subminor sixth, undecimal augmented fifth
	\|-		\|-
	\|[[63/40]]		\| [[63/40]]
	\|786.422194		\| 786.422194
	\|zg6, zogu 6th		\| zg6, zogu 6th
	\|m6<sup>7</sup><sub>5</sub>		\| m6<sup>7</sup><sub>5</sub>
	\|narrow minor sixth		\| narrow minor sixth
	\|-		\|-
	\|[[52/33]]		\| [[52/33]]
	\|787.254719		\| 787.254719
	\|3o1u6, tholu 6th		\| 3o1u6, tholu 6th
	\|m6<sup>13</sup><sub>11</sub>		\| m6<sup>13</sup><sub>11</sub>
	\| tridecimal minor sixth		\| tridecimal minor sixth
	\|-		\|-
	\|[[30/19]]		\| [[30/19]]
	\|790.755699		\| 790.755699
	\|19uy5, nuyo 5th		\| 19uy5, nuyo 5th
	\|A5<sup>5</sup><sub>19</sub>		\| A5<sup>5</sup><sub>19</sub>
	\|small undevicesimal minor sixth, Eratosthenes' minor sixth		\| small undevicesimal minor sixth, Eratosthenes' minor sixth
	\|-		\|-
	\|[[128/81]]		\| [[128/81]]
	\|792.179997		\| 792.179997
	\|sw6, sawa 6th		\| sw6, sawa 6th
	\|m6		\| m6
	\|Pythagorean minor sixth, octave-reduced 81st subharmonic		\| Pythagorean minor sixth, octave-reduced 81st subharmonic
	\|-		\|-
	\|[[19/12]]		\| [[19/12]]
	\|795.558015		\| 795.558015
	\|19o6, ino 6th		\| 19o6, ino 6th
	\|m6<sup>19</sup>		\| m6<sup>19</sup>
	\|large undevicesimal minor sixth, Boethius' minor sixth		\| large undevicesimal minor sixth, Boethius' minor sixth
	\|-		\|-
	\|[[27/17]]		\|[[27/17]]