User:BudjarnLambeth/Beginners: Difference between revisions

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

Latest revision as of 06:56, 24 January 2025

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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