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| {{Editable user page|'''Please create criteria for inclusion which include at most 50 intervals. Then replace my list of intervals with a list of intervals that meet the new criteria.'''}}
| | Cleared this page in case it was the cause of the drop in Google search rankings. I have moved it to: https://aux-xenharmonic.fandom.com/wiki/User:BudjarnLambeth/Beginners |
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| '''Return to gallery lobby: [[User:BudjarnLambeth/Gallery of just intervals|Gallery of just intervals]]'''
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| The following is an exhibit featuring a small, carefully curated collection of [[just intonation]] intervals. It is intended to include those few intervals which stand out above the rest as particularly audible or structurally essential.
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| === Criteria for inclusion ===
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| The criteria for an interval's inclusion are:
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| * The interval must be between [[1/1]] and [[2/1]] (inclusive)
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| * (''To be determined'')
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| If it meets those criteria, it is welcome to be added.
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| == The collection ==
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| See also [http://www.huygens-fokker.org/docs/intervals.html List of intervals (Huygens-Fokker foundation)]
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| If any [[FJS]] names are missing, please [https://misotanni.github.io/fjs/en/calc.html add] them.
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| {| class="wikitable sortable"
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| |-
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| ! Frequency Ratio
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| ! Cents Value <br> (six decimal places)
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| ! [[Color notation|Color Name]]
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| ! [[Functional Just System|FJS Name]]
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| ! class="unsortable" | Some common names
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| |-
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| | [[1/1]]
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| | 0
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| | w1, wa unison
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| | P1
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| | unity, perfect prime, Tonic
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| |-
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| |[[33/32]]
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| |53.272943
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| |1o1, ilo unison
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| |P1<sup>11</sup>
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| |undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, [[octave-reduced]] 33rd [[harmonic]]
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| |-
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| |[[25/24]]
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| |70.672427
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| |yy1, yoyo unison
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| |A1<sup>25</sup>
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| |chroma, classic chromatic semitone, Zarlinian semitone
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| |-
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| |[[22/21]]
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| |80.537035
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| |1or1, loru unison
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| |P1<sup>11</sup><sub>7</sub>
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| |undecimal minor semitone
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| |-
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| |[[21/20]]
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| |84.467193
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| |zg2, zogu 2nd
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| |m2<sup>7</sup><sub>5</sub>
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| |minor semitone, large septimal chroma
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| |-
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| |[[20/19]]
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| |88.800698
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| |19uy1, nuyo unison
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| |A1<sup>5</sup><sub>19</sub>
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| |small undevicesimal semitone, undevicesimal chroma, Eratosthenes' semitone
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| |-
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| |[[19/18]]
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| |93.603014
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| |19o2, ino 2nd
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| |m2<sup>19</sup>
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| |large undevicesimal semitone, undevicesimal limma, Boethius' semitone
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| |-
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| |[[18/17]]
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| |98.954592
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| |17u1, su unison
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| |A1<sub>17</sub>
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| |small septendecimal semitone, Arabic lute index finger
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| |-
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| |[[17/16]]
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| |104.955410
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| |17o2, iso 2nd
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| |m2<sup>17</sup>
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| |large septendecimal semitone, octave-reduced 17th harmonic
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| |-
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| |[[16/15]]
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| |111.731285
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| |g2, gu 2nd
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| |m2<sub>5</sub>
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| |classic diatonic semitone, classic minor second, octave-reduced 15th subharmonic
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| |-
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| |[[15/14]]
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| |119.442808
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| |ry1, ruyo unison
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| |A1<sup>5</sup><sub>7</sub>
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| |septimal diatonic semitone
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| |-
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| |[[14/13]]
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| |128.298245
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| |3uz2, thuzo 2nd
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| |M2<sup>7</sup><sub>13</sub>
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| |tridecimal 2/3-tone, trienthird, tridecimal supraminor second
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| |-
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| |[[13/12]]
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| |138.572661
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| |3o2, tho 2nd
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| |m2<sup>13</sup>
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| |tridecimal neutral second, tridecimal 2/3-tone
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| |-
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| |[[12/11]]
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| |150.637059
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| |1u2, lu 2nd
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| |M2<sub>11</sub>
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| |small undecimal neutral second, 3/4-tone
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| |-
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| |[[11/10]]
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| |165.004228
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| |1og2, logu 2nd
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| |m2<sup>11</sup><sub>5</sub>
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| |undecimal submajor second, large undecimal neutral second, 4/5-tone, Ptolemy's second
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| |-
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| |[[10/9]]
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| |182.403712
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| |y2, yo 2nd
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| |M2<sup>5</sup>
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| |classic (whole) tone, minor (whole) tone
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| |-
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| |[[9/8]]
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| |203.910002
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| |w2, wa 2nd
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| |M2
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| |Pythagorean (whole) tone, major (whole) tone, octave-reduced 9th harmonic
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| |-
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| |[[8/7]]
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| |231.174094
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| |r2, ru 2nd
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| |M2<sub>7</sub>
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| |supermajor second, septimal whole tone, octave-reduced 7th subharmonic
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| |-
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| |[[15/13]]
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| |247.741053
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| |3uy2, thuyo 2nd
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| |A2<sup>5</sup><sub>13</sub>
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| |tridecimal semifourth, tridecimal ultramajor second, tridecimal inframinor third
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| |-
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| |[[7/6]]
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| |266.870906
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| |z3, zo 3rd
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| |m3<sup>7</sup>
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| |subminor third, septimal minor third
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| |-
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| |[[13/11]]
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| |289.209719
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| |3o1u3, tholu 3rd
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| |m3<sup>13</sup><sub>11</sub>
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| |tridecimal minor third
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| |-
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| |[[6/5]]
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| |315.641287
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| |g3, gu 3rd
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| |m3<sub>5</sub>
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| |classic minor third, just minor third
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| |-
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| |[[11/9]]
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| |347.407941
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| |1o3, ilo 3rd
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| |m3<sup>11</sup>
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| |undecimal neutral third
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| |-
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| |[[5/4]]
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| |386.313714
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| |y3, yo 3rd
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| |M3<sup>5</sup>
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| |classic major third, just major third, octave-reduced 5th harmonic
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| |-
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| |[[14/11]]
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| |417.507964
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| |1uz4, luzo 4th
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| |P4<sup>7</sup><sub>11</sub>
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| |undecimal major third, undecimal diminished fourth
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| |-
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| |[[9/7]]
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| |435.084095
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| |r3, ru 3rd
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| |M3<sub>7</sub>
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| |supermajor third, septimal major third
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| |-
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| |[[13/10]]
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| |454.213948
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| |3og4, thogu 4th
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| |d4<sup>13</sup><sub>5</sub>
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| |tridecimal semisixth, Barbados third, tridecimal 9/4 tone
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| |-
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| |[[4/3]]
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| |498.044999
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| |w4, wa 4th
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| |P4
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| |just perfect fourth, octave-reduced 3rd subharmonic, diatessaron
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| |-
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| |[[15/11]]
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| |536.950772
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| |1uy4, luyo 4th
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| |A4<sup>5</sup><sub>11</sub>
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| |undecimal augmented fourth, subaugmented fourth
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| |-
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| |[[11/8]]
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| |551.317942
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| |1o4, ilo 4th
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| |P4<sup>11</sup>
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| |super-fourth, undecimal semi-augmented fourth, octave-reduced 11th harmonic or harmonic 11th, Alphorn-Fa
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| |-
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| |[[7/5]]
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| |582.512193
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| |zg5, zogu 5th
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| |d5<sup>7</sup><sub>5</sub>
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| |augmented fourth, septimal tritone, Huygen's tritone
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| |-
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| |[[10/7]]
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| |617.487807
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| |ry4, ruyo 4th
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| |A4<sup>5</sup><sub>7</sub>
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| |diminished fifth, Euler's tritone, superaugmented fourth
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| |-
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| |[[13/9]]
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| |636.617660
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| |3o5, tho 5th
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| |d5<sup>13</sup>
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| |tridecimal diminished fifth
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| |-
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| |[[3/2]]
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| |701.955001
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| |w5, wa 5th
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| |P5
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| |[[just perfect fifth]], octave-reduced 3rd harmonic, diapente
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| |-
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| |[[14/9]]
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| |764.915905
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| |z6, zo 6th
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| |m6<sup>7</sup>
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| |subminor sixth, septimal minor sixth
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| |-
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| |[[11/7]]
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| |782.492036
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| |1or5, loru 5th
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| |P5<sup>11</sup><sub>7</sub>
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| |undecimal subminor sixth, undecimal augmented fifth
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| |-
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| |[[8/5]]
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| |813.686286
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| |g6, gu 6th
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| |m6<sub>5</sub>
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| |classic minor sixth, just minor sixth, octave-reduced 5th subharmonic
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| |-
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| |[[13/8]]
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| |840.527662
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| |3o6, tho 6th
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| |m6<sup>13</sup>
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| |lesser tridecimal neutral sixth, octave-reduced 13th harmonic
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| |-
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| |[[5/3]]
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| |884.358713
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| |y6, yo 6th
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| |M6<sup>5</sup>
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| |classic major sixth, just major sixth
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| |-
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| |[[17/10]]
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| |918.641696
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| |17og7, sogu 7th
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| |d7<sup>17</sup><sub>5</sub>
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| |septendecimal diminished seventh, septendecimal major sixth
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| |-
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| |[[12/7]]
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| |933.129094
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| |r6, ru 6th
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| |M6<sub>7</sub>
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| |supermajor sixth, septimal major sixth
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| |-
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| |[[7/4]]
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| |968.825906
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| |z7, zo 7th
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| |m7<sup>7</sup>
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| |subminor seventh, septimal minor seventh, harmonic seventh, natural seventh, octave-reduced 7th harmonic
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| |-
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| |[[16/9]]
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| |996.089998
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| |w7, wa 7th
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| |m7
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| |Pythagorean minor seventh, small minor seventh, octave-reduced 9th subharmonic
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| |-
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| |[[9/5]]
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| |1017.596288
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| |g5, gu 7th
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| |m7<sub>5</sub>
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| |classic minor seventh, large minor seventh
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| |-
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| |[[11/6]]
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| |1049.362941
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| |1o7, ilo 7th
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| |m7<sup>11</sup>
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| |undecimal neutral seventh, 21/4-tone
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| |-
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| |[[13/7]]
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| |1071.701755
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| |3or7, thoru 7th
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| |m7<sup>13</sup><sub>7</sub>
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| |tridecimal submajor seventh, 16/3-tone
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| |-
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| |[[15/8]]
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| |1088.268715
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| |y7, yo 7th
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| |M7<sup>5</sup>
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| |classic major seventh, just major seventh, octave-reduced 15th harmonic
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| |-
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| |[[21/11]]
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| |1119.462965
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| |1uz8, luzo 8ve
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| |P8<sup>7</sup><sub>11</sub>
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| |large undecimal diminished octave, undecimal major seventh
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| |-
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| |[[25/13]]
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| |1132.099766
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| |3uyy7, thuyoyo 7th
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| |A7<sup>5,5</sup><sub>13</sub>
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| |lesser tridecimal diminished octave
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| |-
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| |[[2/1]]
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| |1200
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| |w8, wa octave
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| |P8
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| |[[octave]], [[Wikipedia:Diapason|diapason]]
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| |}
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