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Gallery of just intervals: Difference between revisions

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


This page lists links to dedicated pages for each interval. Wiki page names are formatted "n_d" (where n is the numerator and d is the denominator of the interval) because both colons and slashes cannot be part of page names on wikispaces, but the links as they appear on the page are in the form n/d.
This page lists links to dedicated pages for each interval.


Explanation of the color names is [[Kite's_color_notation|here]].
Explanation of the color names is [[Kite's_color_notation|here]].
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| | 1.953721
| | 1.953721
| | Ly-2 = yellow subcomma
| | Ly-2 = yellow subcomma
| | schisma, |-15, 8, 1>
| |<nowiki> schisma, |-15, 8, 1</nowiki>&gt;
|-
|-
| | [[225/224|225/224]]
| | [[225/224|225/224]]
| | 7.711523
| | 7.711523
| | ryy-2 = reddish-yellow subcomma
| | ryy-2 = reddish-yellow subcomma
| | septimal subcomma, |-5, 2, 2, -1&gt;
| |<nowiki> septimal subcomma, |-5, 2, 2, -1</nowiki>&gt;
|-
|-
| | [[100/99|100/99]]
| | [[100/99|100/99]]
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| | 19.552569
| | 19.552569
| | sgg2 = small deep green comma
| | sgg2 = small deep green comma
| | |11, -4, -2&gt;
| |<nowiki> |11, -4, -2</nowiki>&gt;
|-
|-
| | [[81/80|81/80]]
| | [[81/80|81/80]]
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| | 23.460010
| | 23.460010
| | LLw-2 = white comma
| | LLw-2 = white comma
| | Pythagorean comma, Ditonic comma, |-19, 12&gt;
| |<nowiki> Pythagorean comma, Ditonic comma, |-19, 12</nowiki>&gt;
|-
|-
| | [[66/65|66/65]]
| | [[66/65|66/65]]
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| | 29.613568
| | 29.613568
| | Ly<span style="vertical-align: super;">5</span>-2 = quintuple yellow comma
| | Ly<span style="vertical-align: super;">5</span>-2 = quintuple yellow comma
| | Magic comma, small diesis, |-10, -1, 5&gt;
| |<nowiki> Magic comma, small diesis, |-10, -1, 5</nowiki>&gt;
|-
|-
| | [[50/49|50/49]]
| | [[50/49|50/49]]
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| | 41.058858
| | 41.058858
| | g<span style="vertical-align: super;">3</span>2 = triple green comma
| | g<span style="vertical-align: super;">3</span>2 = triple green comma
| | Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3&gt;
| |<nowiki> Diesis, minor diesis, augmented comma, enharmonic comma, |7, 0, -3</nowiki>&gt;
|-
|-
| | [[525/512|525/512]]
| | [[525/512|525/512]]
| | 43.408335
| | 43.408335
| | Lyyb1 = large yellowish-yellow comma
| | Lyyb1 = large yellowish-yellow comma
| | Avicenna's enharmonic diesis, |-9, 1, 2, 1&gt;
| |<nowiki> Avicenna's enharmonic diesis, |-9, 1, 2, 1</nowiki>&gt;
|-
|-
| | [[36/35|36/35]]
| | [[36/35|36/35]]
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| | 49.166137
| | 49.166137
| | y<span style="vertical-align: super;">3</span>1 = triple yellow comma
| | y<span style="vertical-align: super;">3</span>1 = triple yellow comma
| | Porcupine comma, |1, -5, 3&gt;
| |<nowiki> Porcupine comma, |1, -5, 3</nowiki>&gt;
|-
|-
| | [[59049/57344|59049/57344]]
| | [[59049/57344|59049/57344]]
| | 50.724102
| | 50.724102
| | Lr-2 = large red comma
| | Lr-2 = large red comma
| | Harrison's comma, |-13, 10, 0, -1&gt;
| |<nowiki> Harrison's comma, |-13, 10, 0, -1</nowiki>&gt;
|-
|-
| | [[100/97|100/97]]
| | [[100/97|100/97]]
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| | 62.565148
| | 62.565148
| | g<span style="vertical-align: super;">4</span>2 = quadruple green 2nd
| | g<span style="vertical-align: super;">4</span>2 = quadruple green 2nd
| | diminished comma, major diesis, |8, 4, -4&gt;
| |<nowiki> diminished comma, major diesis, |8, 4, -4</nowiki>&gt;
|-
|-
| | [[28/27|28/27]]
| | [[28/27|28/27]]
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| | 90.224996
| | 90.224996
| | sw2 = small white 2nd
| | sw2 = small white 2nd
| | Pythagorean limma, Pythagorean minor second, |8, -5&gt;
| |<nowiki> Pythagorean limma, Pythagorean minor second, |8, -5</nowiki>&gt;
|-
|-
| | [[135/128|135/128]]
| | [[135/128|135/128]]
| | 92.178716
| | 92.178716
| | Ly1 = large yellow semitone
| | Ly1 = large yellow semitone
| | major limma, |-7, 3, 1&gt;
| |<nowiki> major limma, |-7, 3, 1</nowiki>&gt;
|-
|-
| | [[18/17|18/17]]
| | [[18/17|18/17]]
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| | 113.685006
| | 113.685006
| | Lw1 = large white semitone
| | Lw1 = large white semitone
| | apotome, |-11, 7&gt;
| |<nowiki> apotome, |-11, 7</nowiki>&gt;
|-
|-
| | [[77/72|77/72]]
| | [[77/72|77/72]]
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| | 140.949098
| | 140.949098
| | Lr1 = large red semitone
| | Lr1 = large red semitone
| | septimal subtone, |-5, 5, 0, -1&gt;
| |<nowiki> septimal subtone, |-5, 5, 0, -1</nowiki>&gt;
|-
|-
| | [[88/81|88/81]]
| | [[88/81|88/81]]
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| | 323.352810
| | 323.352810
| | ry2 = reddish aug 2nd
| | ry2 = reddish aug 2nd
| | large septimal minor third, marvelous minor third, |-4, 3, 1, -1&gt;
| |<nowiki> large septimal minor third, marvelous minor third, |-4, 3, 1, -1</nowiki>&gt;
|-
|-
| | [[35/29|35/29]]
| | [[35/29|35/29]]
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| | 345.254855
| | 345.254855
| | Ly<span style="vertical-align: super;">4</span>2 = large quadruple yellow 2nd
| | Ly<span style="vertical-align: super;">4</span>2 = large quadruple yellow 2nd
| | 5-limit neutral third, |-9, 0, 4&gt;
| |<nowiki> 5-limit neutral third, |-9, 0, 4</nowiki>&gt;
|-
|-
| | [[11/9|11/9]]
| | [[11/9|11/9]]
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| | 493.119721
| | 493.119721
| | ea4 = emerald amber 4th
| | ea4 = emerald amber 4th
| | tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1&gt;
| |<nowiki> tridecimal gentle fourth, |-3, 2, 0, 0, -1, 1</nowiki>&gt;
|-
|-
| | [[4/3|4/3]]
| | [[4/3|4/3]]
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| | 585.721154
| | 585.721154
| | ar4 = amber-red 4th
| | ar4 = amber-red 4th
| | swetismic augmented fourth, |2, 3, 0, -1, -1&gt;
| |<nowiki> swetismic augmented fourth, |2, 3, 0, -1, -1</nowiki>&gt;
|-
|-
| | [[24/17|24/17]]
| | [[24/17|24/17]]
Line 709: Line 709:
| | 706.717684
| | 706.717684
| | eaab6 = emerald blue deep amber 6th
| | eaab6 = emerald blue deep amber 6th
| | tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 &gt;
| |<nowiki> tridecimal gentle fifth, |1, 0, 0, 1, -2, 1 </nowiki>&gt;
|-
|-
| | 176/117
| | 176/117
| | 706.880279
| | 706.880279
| | oj5 = ochre-jade 5th
| | oj5 = ochre-jade 5th
| | tridecimal gentle fifth, |4, -2, 0, 0, 1, -1&gt;
| |<nowiki> tridecimal gentle fifth, |4, -2, 0, 0, 1, -1</nowiki>&gt;
|-
|-
| | [[50/33|50/33]]
| | [[50/33|50/33]]
Line 853: Line 853:
| | 976.537429
| | 976.537429
| | Lyy6 = large deep yellow 6th
| | Lyy6 = large deep yellow 6th
| | marvel five-limit harmonic seventh, octave-reduced 225th harmonic, |-7, 2, 2&gt;
| |<nowiki> marvel five-limit harmonic seventh, octave-reduced 225th harmonic, |-7, 2, 2</nowiki>&gt;
|-
|-
| | [[30/17|30/17]]
| | [[30/17|30/17]]
Line 1,098: Line 1,098:


=Links=
=Links=
<ul><li>[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by Margo Schulter [http://www.webcitation.org/5xeoz4zmC Permalink]</li><li>[http://www.huygens-fokker.org/docs/intervals.html Manuel Op de Coul interval list]*</li><li>[http://www.kylegann.com/Octave.html Anantomy of an Octave] by Kyle Gann</li><li>[http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by Kite Giedraitis</li><li>[http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals]</li></ul>      [[Category:gallery]]
<ul><li>[http://www.bestii.com/%7Emschulter/IntervalSpectrumRegions.txt Regions of the Interval Spectrum] by Margo Schulter [http://www.webcitation.org/5xeoz4zmC Permalink]</li><li>[http://www.huygens-fokker.org/docs/intervals.html Manuel Op de Coul interval list]*</li><li>[http://www.kylegann.com/Octave.html Anantomy of an Octave] by Kyle Gann</li><li>[http://www.tallkite.com/AlternativeTunings.html Alternative Tunings: Theory, Notation and Practice] by Kite Giedraitis</li><li>[http://www.huygens-fokker.org/docs/intervals.html Stichting Huygens-Fokker: List of intervals]</li></ul>       
[[Category:gallery]]
[[Category:interval]]
[[Category:interval]]
[[Category:intervals]]
[[Category:intervals]]
[[Category:ji]]
[[Category:ji]]
[[Category:just]]
[[Category:just]]
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