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This '''list of superparticular intervals''' ordered by prime limit. It reaches to the [[101-limit]] and is complete up to the [[17-limit]].
This is a list of [[superparticular]] [[interval]]s ordered by [[prime limit]]. It reaches to the 127-limit and is complete up to the [[37-limit]].


[[Superparticular]] numbers are ratios of the form (n+1)/n, or 1+1/n, where n is a whole number other than 1. They appear frequently in [[just intonation]] and [[OverToneSeries|Harmonic Series]] music. Adjacent tones in the harmonic series are separated by superparticular intervals: for instance, the 20th and 21st by the superparticular ratio [[21/20]]. As the overtones get closer together, the superparticular intervals get smaller and smaller. Thus, an examination of the superparticular intervals is an examination of some of the simplest small intervals in rational tuning systems. Indeed, many but not all common [[comma]]s are superparticular ratios.
[[Wikipedia: Størmer's theorem|Størmer's theorem]] states that, in each limit, there are only a finite number of superparticular ratios. Many of the sections below are complete. For example, there is no 3-limit superparticular ratio other than [[2/1]], [[3/2]], [[4/3]], and [[9/8]]. {{OEIS| A002071 }} gives the number of superparticular ratios in each prime limit, {{OEIS| A145604 }} shows the increment from limit to limit, and {{OEIS| A117581 }} gives the largest numerator for each prime limit (with some exceptions, such as the 23-limit, where the largest value is smaller than that of a smaller prime limit, in this case the 19-limit).


The list below is ordered by [[harmonic limit]], or the largest prime involved in the prime factorization. [[36/35]], for instance, is an interval of the [[7-limit]], as it factors to (2<sup>2</sup>*3<sup>2</sup>)/(5*7), while 37/36 would belong to the 37-limit.
== List of superparticular intervals ==
 
=== 2-limit ===
[http://en.wikipedia.org/wiki/St%C3%B8rmer%27s_theorem Størmer's theorem] guarantees that, in each limit, there are only a finite number of superparticular ratios. Many of the sections below are complete. For example, there is no 3-limit superparticular ratio other than [[2/1]], [[3/2]], [[4/3]], and [[9/8]]. [http://oeis.org/A002071 A002071 &#45;- OEIS] gives the number of superparticular ratios in each prime limit, [http://oeis.org/A145604 A145604 &#45; OEIS] shows the increment from limit to limit, and [http://oeis.org/A117581 A117581] the largest numerator for each prime limit (with some exceptions, such as the 23-limit, where the largest value is smaller than that of a smaller prime limit, in this case the 19-limit).
{| class="wikitable center-6" style="width:100%"
 
See also [[gallery of just intervals]]. Many of the names below come from [http://www.huygens-fokker.org/docs/intervals.html here].
 
{| class="wikitable"
|-
|-
! Ratio
! width="10%" | [[Ratio]]
! Cents
! width="10%" | [[Cent]]s
! Factorization
! width="15%" | Factorization
! [[Monzo]]
! width="15%" | [[Monzo]]
! Name(s)
! width="45%" | Name(s)
|-
! width="5%" | Meta<ref name="ssp">Denoted by S-expressions, where s''k'' is defined as (''k''/(''k'' - 1))/((''k'' + 1)/''k''). See [[square superparticular]] for details.</ref>
! colspan="5" | 2-limit (complete)
|-
|-
| [[2/1]]
| [[2/1]]
| 1200.000
| 1200.000
| 2/1
| 2/1
| {{Monzo|1}}
| {{Monzo| 1 }}
| octave, duple; ''after [[octave reduction]]:'' (perfect) unison, unity, perfect prime, tonic
| Octave, duple, 2nd harmonic, diapason
|-
|
! colspan="5" | 3-limit (complete)
|}
 
=== 3-limit ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[3/2]]
| [[3/2]]
| 701.995
| 701.955
| 3/2
| 3/2
| {{Monzo|-1 1}}
| {{Monzo| -1 1 }}
| [[perfect fifth]], 3rd harmonic (octave reduced), diapente
| Perfect fifth, octave-reduced 3rd harmonic, diapente
|
|-
|-
| [[4/3]]
| [[4/3]]
| 498.045
| 498.045
| 2<span style="font-size: 70%; vertical-align: super;">2</span>/3
| 2<sup>2</sup>/3
| {{Monzo|2 -1}}
| {{Monzo| 2 -1 }}
| perfect fourth, 3rd subharmonic (octave reduced), diatessaron
| Perfect fourth, octave-reduced 3rd subharmonic, diatessaron
| S2
|-
|-
| [[9/8]]
| [[9/8]]
| 203.910
| 203.910
| 3<span style="font-size: 70%; vertical-align: super;">2</span>/2<span style="font-size: 70%; vertical-align: super;">3</span>
| 3<sup>2</sup>/2<sup>3</sup>
| {{Monzo|-3 2}}
| {{monzo| -3 2 }}
| (Pythagorean) (whole) tone, Pythagorean major second, major whole tone, 9th harmonic or harmonic ninth (octave reduced)
| Pythagorean whole tone, Pythagorean major second, <br>major whole tone, octave-reduced 9th harmonic, harmonic ninth
|-
| S3
! colspan="5" | 5-limit (complete)
|}
 
=== 5-limit ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[5/4]]
| [[5/4]]
| 386.314
| 386.314
| 5/2<span style="font-size: 70%; vertical-align: super;">2</span>
| 5/2<sup>2</sup>
| {{Monzo|-2 0 1}}
| {{Monzo| -2 0 1 }}
| (classic) (5-limit) major third, 5th harmonic (octave reduced)
| Classic(al)/just major third, octave-reduced 5th harmonic
|
|-
|-
| [[6/5]]
| [[6/5]]
| 315.641
| 315.641
| (2*3)/5
| (2×3)/5
| {{Monzo|1 1 -1}}
| {{Monzo| 1 1 -1 }}
| (classic) (5-limit) minor third
| Classic(al)/just minor third
|
|-
|-
| [[10/9]]
| [[10/9]]
| 182.404
| 182.404
| (2*5)/3<span style="font-size: 70%; vertical-align: super;">2</span>
| (2×5)/3<sup>2</sup>
| {{Monzo|1 -2 1}}
| {{Monzo| 1 -2 1 }}
| classic (whole) tone, classic major second, minor whole tone
| Classic(al) (whole) tone, classic major second, minor whole tone
|
|-
|-
| [[16/15]]
| [[16/15]]
| 111.713
| 111.731
| 2<span style="font-size: 70%; vertical-align: super;">4</span>/(3*5)
| 2<sup>4</sup>/(3×5)
| {{Monzo|4 -1 -1}}
| {{Monzo| 4 -1 -1 }}
| minor diatonic semitone, 15th subharmonic
| Classic(al)/just diatonic semitone, 15th subharmonic
| S4
|-
|-
| [[25/24]]
| [[25/24]]
| 70.672
| 70.672
| 5<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3)
| 5<sup>2</sup>/(2<sup>3</sup>×3)
| {{Monzo|-3 -1 2}}
| {{Monzo| -3 -1 2 }}
| chroma, (classic) chromatic semitone, Zarlinian semitone
| Classic(al)/just chromatic semitone, chroma, Zarlinian semitone
| S5
|-
|-
| [[81/80]]
| [[81/80]]
| 21.506
| 21.506
| (3/2)<span style="font-size: 70%; vertical-align: super;">4</span>/5
| (3/2)<sup>4</sup>/5
| {{Monzo|-4 4 -1}}
| {{Monzo| -4 4 -1 }}
| syntonic comma, Didymus comma
| Syntonic comma, Didymus comma
|-
| S9
! colspan="5" | 7-limit (complete)
|}
 
=== 7-limit ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[7/6]]
| [[7/6]]
| 266.871
| 266.871
| 7/(2*3)
| 7/(2×3)
| {{Monzo|-1 -1 0 1 }}
| {{Monzo| -1 -1 0 1 }}
| (septimal) subminor third, septimal minor third, augmented second
| (Septimal) subminor third, septimal minor third
|
|-
|-
| [[8/7]]
| [[8/7]]
| 231.174
| 231.174
| 2<span style="font-size: 70%; vertical-align: super;">3</span>/7
| 2<sup>3</sup>/7
| {{Monzo|3 0 0 -1}}
| {{Monzo| 3 0 0 -1 }}
| (septimal) supermajor second, septimal whole tone, diminished third, 7th subharmonic
| (Septimal) supermajor second, septimal whole tone, <br>octave-reduced 7th subharmonic
|
|-
|-
| [[15/14]]
| [[15/14]]
| 119.443
| 119.443
| (3*5)/(2*7)
| (3×5)/(2×7)
| {{Monzo|-1 1 1 -1}}
| {{Monzo| -1 1 1 -1 }}
| septimal diatonic semitone
| Septimal major semitone, septimal diatonic semitone
|
|-
|-
| [[21/20]]
| [[21/20]]
| 84.467
| 84.467
| (3*7)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5)
| (3×7)/(2<sup>2</sup>×5)
| {{Monzo|-2 1 -1 1}}
| {{Monzo| -2 1 -1 1 }}
| minor semitone, large septimal chromatic semitone
| Septimal minor semitone, large septimal chroma
|
|-
|-
| [[28/27]]
| [[28/27]]
| 62.961
| 62.961
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*7)/3<span style="font-size: 70%; vertical-align: super;">3</span>
| (2<sup>2</sup>×7)/3<sup>3</sup>
| {{Monzo|2 -3 0 1}}
| {{Monzo| 2 -3 0 1 }}
| septimal chroma, small septimal chromatic semitone, Archytas' 1/3-tone
| Septimal 1/3-tone, small septimal chroma, <br>(septimal) subminor second, septimal minor second, <br>trienstonic comma
|
|-
|-
| [[36/35]]
| [[36/35]]
| 48.770
| 48.770
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">3</span>)/(5*7)
| (2×3)<sup>2</sup>/(5×7)
| {{Monzo|2 2 -1 -1}}
| {{Monzo| 2 2 -1 -1 }}
| septimal quarter tone, septimal diesis
| Septimal 1/4-tone, mint comma
| S6
|-
|-
| [[49/48]]
| [[49/48]]
| 35.697
| 35.697
| 7<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">4</span>*3)
| 7<sup>2</sup>/(2<sup>4</sup>×3)
| {{Monzo|-4 -1 0 2}}
| {{Monzo| -4 -1 0 2 }}
| large septimal diesis, slendro diesis, septimal 1/6-tone
| Large septimal diesis, large septimal 1/6-tone, slendro diesis, semaphoresma
| S7
|-
|-
| [[50/49]]
| [[50/49]]
| 34.976
| 34.976
| 2*(5/7)<span style="font-size: 70%; vertical-align: super;">2</span>
| 2×(5/7)<sup>2</sup>
| {{Monzo|1 0 2 -2}}
| {{Monzo| 1 0 2 -2 }}
| septimal sixth-tone, jubilisma, small septimal diesis, tritonic diesis, Erlich's decatonic comma
| Small septimal diesis, small septimal 1/6-tone, septimal tritonic diesis, jubilisma
|
|-
|-
| [[64/63]]
| [[64/63]]
| 27.264
| 27.264
| 2<span style="font-size: 70%; vertical-align: super;">6</span>/(3<span style="font-size: 70%; vertical-align: super;">2</span>*7)
| 2<sup>6</sup>/(3<sup>2</sup>×7)
| {{Monzo|6 -2 0 -1}}
| {{Monzo| 6 -2 0 -1 }}
| septimal comma, Archytas' comma
| Septimal comma, Archytas' comma
| S8
|-
|-
| [[126/125]]
| [[126/125]]
| 13.795
| 13.795
| (2*3<span style="font-size: 70%; vertical-align: super;">2</span>*7)/5<span style="font-size: 70%; vertical-align: super;">3</span>
| (2×3<sup>2</sup>×7)/5<sup>3</sup>
| {{Monzo|1 2 -3 1}}
| {{Monzo| 1 2 -3 1 }}
| starling comma, septimal semicomma
| Starling comma, septimal semicomma
|
|-
|-
| [[225/224]]
| [[225/224]]
| 7.7115
| 7.7115
| (3*5)<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">5</span>*7)
| (3×5)<sup>2</sup>/(2<sup>5</sup>×7)
| {{Monzo|-5 2 2 -1}}
| {{Monzo| -5 2 2 -1 }}
| marvel comma, septimal kleisma
| Marvel comma, septimal kleisma
| S15
|-
|-
| [[2401/2400]]
| [[2401/2400]]
| 0.72120
| 0.72120
| 7<span style="font-size: 70%; vertical-align: super;">4</span>/(2<span style="font-size: 70%; vertical-align: super;">5</span>*3*5<span style="font-size: 70%; vertical-align: super;">2</span>)
| 7<sup>4</sup>/(2<sup>5</sup>×3×5<sup>2</sup>)
| {{Monzo|-5 -1 -2 4}}
| {{Monzo| -5 -1 -2 4 }}
| breedsma
| Breedsma
| S49
|-
|-
| [[4375/4374]]
| [[4375/4374]]
| 0.39576
| 0.39576
| (5<span style="font-size: 70%; vertical-align: super;">4</span>*7)/(2*3<span style="font-size: 70%; vertical-align: super;">7</span>)
| (5<sup>4</sup>×7)/(2×3<sup>7</sup>)
| {{Monzo|-1 -7 4 1}}
| {{Monzo| -1 -7 4 1 }}
| ragisma
| Ragisma
|-
|
! colspan="5" | 11-limit (complete)
|}
 
=== 11-limit ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[11/10]]
| [[11/10]]
| 165.004
| 165.004
| 11/(2*5)
| 11/(2×5)
| {{Monzo|-1 0 -1 0 1}}
| {{Monzo| -1 0 -1 0 1 }}
| (large) (undecimal) neutral second, 4/5-tone, Ptolemy's second
| Large undecimal neutral second, <br>undecimal submajor second, Ptolemy's second
|
|-
|-
| [[12/11]]
| [[12/11]]
| 150.637
| 150.637
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3)/11
| (2<sup>2</sup>×3)/11
| {{Monzo|2 1 0 0 -1}}
| {{Monzo| 2 1 0 0 -1 }}
| (small) (undecimal) neutral second, 3/4-tone
| Small undecimal neutral second
|
|-
|-
| [[22/21]]
| [[22/21]]
| 80.537
| 80.537
| (2*11)/(3*7)
| (2×11)/(3×7)
| {{Monzo|1 -1 0 -1 1}}
| {{Monzo| 1 -1 0 -1 1 }}
| undecimal minor semitone
| Undecimal minor semitone
|
|-
|-
| [[33/32]]
| [[33/32]]
| 53.273
| 53.273
| (3*11)/2<span style="font-size: 70%; vertical-align: super;">5</span>
| (3×11)/2<sup>5</sup>
| {{Monzo|-5 1 0 0 1}}
| {{Monzo| -5 1 0 0 1 }}
| undecimal quarter tone, undecimal diesis, al-Farabi's 1/4-tone, 33rd harmonic (octave reduced)
| Undecimal 1/4-tone, undecimal diesis, <br>al-Farabi's 1/4-tone, octave-reduced 33rd harmonic
|
|-
|-
| [[45/44]]
| [[45/44]]
| 38.906
| 38.906
| (3/2)<span style="font-size: 70%; vertical-align: super;">2</span>*(5/11)
| (3/2)<sup>2</sup>×(5/11)
| {{Monzo|-2 2 1 0 -1}}
| {{monzo| -2 2 1 0 -1 }}
| 1/5-tone
| Undecimal 1/5-tone, cake comma
|
|-
|-
| [[55/54]]
| [[55/54]]
| 31.767
| 31.767
| (5*11)/(2*3<span style="font-size: 70%; vertical-align: super;">3</span>)
| (5×11)/(2×3<sup>3</sup>)
| {{Monzo|-1 -3 1 0 1}}
| {{Monzo| -1 -3 1 0 1 }}
| undecimal diasecundal comma, eleventyfive comma
| Telepathma, eleventyfive comma, <br>undecimal diasecundal comma
|
|-
|-
| [[56/55]]
| [[56/55]]
| 31.194
| 31.194
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*7)/(5*11)
| (2<sup>3</sup>×7)/(5×11)
| {{Monzo|3 0 -1 1 -1}}
| {{Monzo| 3 0 -1 1 -1 }}
| undecimal tritonic comma, konbini comma
| Undecimal tritonic comma, konbini comma
|
|-
|-
| [[99/98]]
| [[99/98]]
| 17.576
| 17.576
| (3/7)<span style="font-size: 70%; vertical-align: super;">2</span>*(11/2)
| (3/7)<sup>2</sup>×(11/2)
| {{Monzo|-1 2 0 -2 1}}
| {{Monzo| -1 2 0 -2 1 }}
| small undecimal comma, mothwellsma
| Mothwellsma, small undecimal comma
|
|-
|-
| [[100/99]]
| [[100/99]]
| 17.399
| 17.399
| (2*5/3)<span style="font-size: 70%; vertical-align: super;">2</span>/11)
| ((2×5)/3)<sup>2</sup>/11
| {{Monzo|2 -2 2 0 -1}}
| {{monzo| 2 -2 2 0 -1 }}
| Ptolemy's comma, ptolemisma
| Ptolemisma, Ptolemy's comma
| S10
|-
|-
| [[121/120]]
| [[121/120]]
| 14.376
| 14.376
| 11<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3*5)
| 11<sup>2</sup>/(2<sup>3</sup>×3×5)
| {{Monzo|-3 -1 -1 0 2}}
| {{Monzo| -3 -1 -1 0 2 }}
| undecimal seconds comma, biyatisma
| Biyatisma, undecimal seconds comma
| S11
|-
|-
| [[176/175]]
| [[176/175]]
| 9.8646
| 9.8646
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*11)/(5<span style="font-size: 70%; vertical-align: super;">2</span>*7)
| (2<sup>4</sup>×11)/(5<sup>2</sup>×7)
| {{Monzo|4 0 -2 -1 1}}
| {{Monzo| 4 0 -2 -1 1 }}
| valinorsma
| Valinorsma
|
|-
|-
| [[243/242]]
| [[243/242]]
| 7.1391
| 7.1391
| 3<span style="font-size: 70%; vertical-align: super;">5</span>/(2*11<span style="font-size: 70%; vertical-align: super;">2</span>)
| 3<sup>5</sup>/(2×11<sup>2</sup>)
| {{Monzo|-1 5 0 0 -2}}
| {{Monzo| -1 5 0 0 -2 }}
| neutral third comma, rastma
| Rastma, neutral thirds comma
|
|-
|-
| [[385/384]]
| [[385/384]]
| 4.5026
| 4.5026
| (5*7*11)/(2<span style="font-size: 70%; vertical-align: super;">7</span>*3)
| (5×7×11)/(2<sup>7</sup>×3)
| {{Monzo|-7 -1 1 1 1}}
| {{Monzo| -7 -1 1 1 1 }}
| keenanisma
| Keenanisma
|
|-
|-
| [[441/440]]
| [[441/440]]
| 3.9302
| 3.9302
| (3*7)<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*5*11)
| (3×7)<sup>2</sup>/(2<sup>3</sup>×5×11)
| {{Monzo|-3 2 -1 2 -1}}
| {{Monzo| -3 2 -1 2 -1 }}
| Werckmeister's undecimal septenarian schisma, werckisma
| Werckisma, Werckmeister's undecimal septenarian schisma
| S21
|-
|-
| [[540/539]]
| [[540/539]]
| 3.2090
| 3.2090
| (2/7)<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">3</span>*5/11
| (2/7)<sup>2</sup>×((3<sup>3</sup>×5)/11)
| {{Monzo|2 3 1 -2 -1}}
| {{Monzo| 2 3 1 -2 -1 }}
| Swets' comma, swetisma
| Swetisma, Swets' comma
|
|-
|-
| [[3025/3024]]
| [[3025/3024]]
| 0.57240
| 0.57240
| (5*11)<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">4</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*7)
| (5×11)<sup>2</sup>/(2<sup>4</sup>×3<sup>3</sup>×7)
| {{Monzo|-4 -3 2 -1 2}}
| {{Monzo| -4 -3 2 -1 2 }}
| Lehmerisma
| Lehmerisma
| S55
|-
|-
| [[9801/9800]]
| [[9801/9800]]
| 0.17665
| 0.17665
| [11/(5*7)]<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">4</span>/2<span style="font-size: 70%; vertical-align: super;">3</span>
| ((3<sup>2</sup>×11)/(5×7))<sup>2</sup>/2<sup>3</sup>
| {{Monzo|-3 4 -2 -2 2}}
| {{Monzo| -3 4 -2 -2 2 }}
| Gauss comma, kalisma
| Kalisma, Gauss comma
|-
| S99
! colspan="5" | 13-limit (complete)
|}
 
=== 13-limit ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[13/12]]
| [[13/12]]
| 138.573
| 138.573
| 13/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3)
| 13/(2<sup>2</sup>×3)
| {{Monzo|-2 -1 0 0 0 1}}
| {{Monzo| -2 -1 0 0 0 1 }}
| tridecimal 2/3-tone
| Large tridecimal 2/3-tone, <br>tridecimal neutral second
|
|-
|-
| [[14/13]]
| [[14/13]]
| 128.298
| 128.298
| (2*7)/13
| (2×7)/13
| {{Monzo|1 0 0 1 0 -1}}
| {{Monzo| 1 0 0 1 0 -1 }}
| 2/3-tone, trienthird
| Small tridecimal 2/3-tone, trienthird
|
|-
|-
| [[26/25]]
| [[26/25]]
| 67.900
| 67.900
| (2*13)/5<span style="font-size: 70%; vertical-align: super;">2</span>
| (2×13)/5<sup>2</sup>
| {{Monzo|1 0 -2 0 0 1}}
| {{Monzo| 1 0 -2 0 0 1 }}
| tridecimal 1/3-tone
| Large tridecimal 1/3-tone
|
|-
|-
| [[27/26]]
| [[27/26]]
| 65.337
| 65.337
| 3<span style="font-size: 70%; vertical-align: super;">3</span>/(2*13)
| 3<sup>3</sup>/(2×13)
| {{Monzo|-1 3 0 0 0 -1}}
| {{Monzo| -1 3 0 0 0 -1 }}
| tridecimal comma
| Small tridecimal 1/3-tone
|
|-
|-
| [[40/39]]
| [[40/39]]
| 43.831
| 43.831
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*5)/(3*13)
| (2<sup>3</sup>×5)/(3×13)
| {{Monzo|3 -1 1 0 0 -1}}
| {{Monzo| 3 -1 1 0 0 -1 }}
| tridecimal minor diesis
| Tridecimal minor diesis
|
|-
|-
| [[65/64]]
| [[65/64]]
| 26.841
| 26.841
| (5*13)/2<span style="font-size: 70%; vertical-align: super;">6</span>
| (5×13)/2<sup>6</sup>
| {{Monzo|-6 0 1 0 0 1}}
| {{Monzo| -6 0 1 0 0 1 }}
| wilsorma, 13th-partial chroma
| Wilsorma, 13th-partial chroma
|
|-
|-
| [[66/65]]
| [[66/65]]
| 26.432
| 26.432
| (2*3*11)/(5*13)
| (2×3×11)/(5×13)
| {{Monzo|1 1 -1 0 1 -1}}
| {{Monzo| 1 1 -1 0 1 -1 }}
| winmeanma
| Winmeanma
|
|-
|-
| [[78/77]]
| [[78/77]]
| 22.339
| 22.339
| (2*3*13)/(7*11)
| (2×3×13)/(7×11)
| {{Monzo|1 1 0 -1 -1 1}}
| {{Monzo| 1 1 0 -1 -1 1 }}
| negustma
| Negustma
|
|-
|-
| [[91/90]]
| [[91/90]]
| 19.130
| 19.130
| (7*13)/(2*3<span style="font-size: 70%; vertical-align: super;">2</span>*5)
| (7×13)/(2×3<sup>2</sup>×5)
| {{Monzo|-1 -2 -1 1 0 1}}
| {{Monzo| -1 -2 -1 1 0 1 }}
| [[The_Biosphere|Biome]] comma, superleap comma
| Biome comma, superleap comma
|
|-
|-
| [[105/104]]
| [[105/104]]
| 16.567
| 16.567
| (3*5*7)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*13)
| (3×5×7)/(2<sup>3</sup>×13)
| {{Monzo|-3 1 1 1 0 -1}}
| {{Monzo| -3 1 1 1 0 -1 }}
| small tridecimal comma, animist comma
| Animist comma, small tridecimal comma
|
|-
|-
| [[144/143]]
| [[144/143]]
| 12.064
| 12.064
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3)<span style="font-size: 70%; vertical-align: super;">2</span>/(11*13)
| (2<sup>2</sup>×3)<sup>2</sup>/(11×13)
| {{Monzo|4 2 0 0 -1 -1}}
| {{Monzo| 4 2 0 0 -1 -1 }}
| grossma
| Grossma
| S12
|-
|-
| [[169/168]]
| [[169/168]]
| 10.274
| 10.274
| 13<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3*7)
| 13<sup>2</sup>/(2<sup>3</sup>×3×7)
| {{Monzo|-3 -1 0 -1 0 2}}
| {{Monzo| -3 -1 0 -1 0 2 }}
| buzurgisma, dhanvantarisma
| Buzurgisma, dhanvantarisma
| S13
|-
|-
| [[196/195]]
| [[196/195]]
| 8.8554
| 8.8554
| (2*7)<span style="font-size: 70%; vertical-align: super;">2</span>/(3*5*13)
| (2×7)<sup>2</sup>/(3×5×13)
| {{Monzo|2 -1 -1 2 0 -1}}
| {{Monzo| 2 -1 -1 2 0 -1 }}
| marveltwin comma
| Mynucuma
| S14
|-
|-
| [[325/324]]
| [[325/324]]
| 5.3351
| 5.3351
| (5<span style="font-size: 70%; vertical-align: super;">2</span>*13)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">4</span>)
| (5/(2×3<sup>2</sup>))<sup>2</sup>×13
| {{Monzo|-2 -4 2 0 0 1}}
| {{Monzo| -2 -4 2 0 0 1 }}
| Marveltwin comma
|  
|  
|-
|-
| [[351/350]]
| [[351/350]]
| 4.9393
| 4.9393
| (3/5)<span style="font-size: 70%; vertical-align: super;">2</span>*13/(2*7)
| (3<sup>3</sup>×13)/(2×5<sup>2</sup>×7)
| {{Monzo|-1 3 -2 -1 0 1}}
| {{Monzo| -1 3 -2 -1 0 1 }}
| ratwolfsma
| Ratwolfsma
|
|-
|-
| [[352/351]]
| [[352/351]]
| 4.9253
| 4.9253
| (2<span style="font-size: 70%; vertical-align: super;">5</span>*11)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*13)
| (2<sup>5</sup>×11)/(3<sup>3</sup>×13)
| {{Monzo|5 -3 0 0 1 -1}}
| {{Monzo| 5 -3 0 0 1 -1 }}
| minthma
| Major minthma, major gentle comma
|
|-
|-
| [[364/363]]
| [[364/363]]
| 4.7627
| 4.7627
| (2/11)<span style="font-size: 70%; vertical-align: super;">2</span>*7*13/3
| (2/11)<sup>2</sup>×((7×13)/3)
| {{Monzo|2 -1 0 1 -2 1}}
| {{Monzo| 2 -1 0 1 -2 1 }}
| gentle comma
| Minor minthma, minor gentle comma
|
|-
|-
| [[625/624]]
| [[625/624]]
| 2.7722
| 2.7722
|  
| (5/2)<sup>4</sup>/(3×13)
| {{Monzo|-4 -1 4 0 0 -1}}
| {{Monzo| -4 -1 4 0 0 -1 }}
| tunbarsma
| Tunbarsma
| S25
|-
|-
| [[676/675]]
| [[676/675]]
| 2.5629
| 2.5629
|  
| ((2×13)/5)<sup>2</sup>/3<sup>3</sup>
| {{Monzo|2 -3 -2 0 0 2}}
| {{Monzo| 2 -3 -2 0 0 2 }}
| island comma
| Island comma
| S26
|-
|-
| [[729/728]]
| [[729/728]]
| 2.3764
| 2.3764
|  
| (3<sup>2</sup>/2)<sup>3</sup>/(7×13)
| {{Monzo|-3 6 0 -1 0 -1}}
| {{Monzo| -3 6 0 -1 0 -1 }}
| squbema
| Squbema
| S27
|-
|-
| [[1001/1000]]
| [[1001/1000]]
| 1.7304
| 1.7304
| (7×11×13)/(2×5)<sup>3</sup>
| {{Monzo| -3 0 -3 1 1 1 }}
| Sinbadma
|  
|  
| {{Monzo|-3 0 -3 1 1 1}}
| sinbadma
|-
|-
| [[1716/1715]]
| [[1716/1715]]
| 1.0092
| 1.0092
| (2<sup>2</sup>×3×11×13)/(5×7<sup>3</sup>)
| {{Monzo| 2 1 -1 -3 1 1 }}
| Lummic comma
|  
|  
| {{Monzo|2 1 -1 -3 1 1}}
| lummic comma
|-
|-
| [[2080/2079]]
| [[2080/2079]]
| 0.83252
| 0.83252
| (2<sup>5</sup>×5×13)/(3<sup>3</sup>×7×11)
| {{Monzo| 5 -3 1 -1 -1 1 }}
| Ibnsinma
|  
|  
| {{Monzo|5 -3 1 -1 -1 1}}
| ibnsinma
|-
|-
| [[4096/4095]]
| [[4096/4095]]
| 0.42272
| 0.42272
|  
| (2<sup>6</sup>/3)<sup>2</sup>/(5×7×13)
| {{Monzo|12 -2 -1 -1 0 -1}}
| {{Monzo| 12 -2 -1 -1 0 -1 }}
| tridecimal schisma, Sagittal schismina
| Schismina, tridecimal schisma
| S64
|-
|-
| [[4225/4224]]
| [[4225/4224]]
| 0.40981
| 0.40981
|  
| (5×13)<sup>2</sup>/(2<sup>7</sup>×3×11)
| {{Monzo|-7 -1 2 0 -1 2}}
| {{Monzo| -7 -1 2 0 -1 2 }}
| leprechaun comma
| Leprechaun comma
| S65
|-
|-
| [[6656/6655]]
| [[6656/6655]]
| 0.26012
| 0.26012
| (2<sup>3</sup>/11)<sup>3</sup>×(13/5)
| {{Monzo| 9 0 -1 0 -3 1 }}
| Jacobin comma
|  
|  
| {{Monzo|9 0 -1 0 -3 1}}
| jacobin comma
|-
|-
| [[10648/10647]]
| [[Harmonisma|10648/10647]]
| 0.16260
| 0.16260
| (2×11)<sup>3</sup>/((3×13)<sup>2</sup>×7)
| {{Monzo| 3 -2 0 -1 3 -2 }}
| Harmonisma
|  
|  
| {{Monzo|3 -2 0 -1 3 -2}}
| harmonisma
|-
|-
| [[123201/123200]]
| [[Chalmersia|123201/123200]]
| 0.014052
| 0.014052
|  
| (3/2)<sup>6</sup>×(13/5)<sup>2</sup>/(7×11)
| {{Monzo|-6 6 -2 -1 -1 2}}
| {{Monzo| -6 6 -2 -1 -1 2 }}
| chalmersia
| Chalmersia
|-
| S351
! colspan="5" | 17-limit (complete)
|}
 
=== 17-limit ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[17/16]]
| [[17/16]]
| 104.955
| 104.955
| 17/2<span style="font-size: 70%; vertical-align: super;">4</span>
| 17/2<sup>4</sup>
| {{Monzo|-4 0 0 0 0 0 1}}
| {{Monzo| -4 0 0 0 0 0 1 }}
| 17th harmonic (octave reduced)
| Large septendecimal semitone, <br>octave-reduced 17th harmonic
|
|-
|-
| [[18/17]]
| [[18/17]]
| 98.955
| 98.955
| (2*3<span style="font-size: 70%; vertical-align: super;">2</span>)/17
| (2×3<sup>2</sup>)/17
| {{Monzo|1 2 0 0 0 0 -1}}
| {{Monzo| 1 2 0 0 0 0 -1 }}
| Arabic lute index finger
| Small septendecimal semitone, <br>Arabic lute index finger
|
|-
|-
| [[34/33]]
| [[34/33]]
| 51.682
| 51.682
| (2*17)/(3*11)
| (2×17)/(3×11)
| {{Monzo|1 -1 0 0 -1 0 1}}
| {{Monzo| 1 -1 0 0 -1 0 1 }}
| Large septendecimal 1/4-tone
|  
|  
|-
|-
| [[35/34]]
| [[35/34]]
| 50.184
| 50.184
| (5*7)/(2*17)
| (5×7)/(2×17)
| {{Monzo|-1 0 1 1 0 0 -1}}
| {{Monzo| -1 0 1 1 0 0 -1 }}
| septendecimal 1/4-tone
| Small septendecimal 1/4-tone
|
|-
|-
| [[51/50]]
| [[51/50]]
| 34.283
| 34.283
| (3*17)/(2*5<span style="font-size: 70%; vertical-align: super;">2</span>)
| (3×17)/(2×5<sup>2</sup>)
| {{Monzo|-1 1 -2 0 0 0 1}}
| {{Monzo| -1 1 -2 0 0 0 1 }}
| 17th-partial chroma
| Large septendecimal 1/6-tone
|
|-
|-
| [[52/51]]
| [[52/51]]
| 33.617
| 33.617
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*13)/(3*17)
| (2<sup>2</sup>×13)/(3×17)
| {{Monzo|2 -1 0 0 0 1 -1}}
| {{Monzo| 2 -1 0 0 0 1 -1 }}
| Small septendecimal 1/6-tone
|  
|  
|-
|-
| [[85/84]]
| [[85/84]]
| 20.488
| 20.488
| (5*17)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*7)
| (5×17)/(2<sup>2</sup>×3×7)
| {{Monzo|-2 -1 1 -1 0 0 1}}
| {{Monzo| -2 -1 1 -1 0 0 1 }}
| Monk comma
|  
|  
|-
|-
| 120/119
| [[120/119]]
| 14.487
| 14.487
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3*5)/(7*17)
| (2<sup>3</sup>×3×5)/(7×17)
| {{Monzo|3 1 1 -1 0 0 -1}}
| {{Monzo| 3 1 1 -1 0 0 -1 }}
| Lynchisma
|  
|  
|-
|-
| 136/135
| [[136/135]]
| 12.777
| 12.777
| (2/3)<span style="font-size: 70%; vertical-align: super;">3</span>*17/5
| (2/3)<sup>3</sup>×(17/5)
| {{Monzo|3 -3 -1 0 0 0 1}}
| {{Monzo| 3 -3 -1 0 0 0 1 }}
| Diatisma, septendecimal major second comma
|  
|  
|-
|-
| 154/153
| [[154/153]]
| 11.278
| 11.278
| (2*7*11)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (2×7×11)/(3<sup>2</sup>×17)
| {{Monzo|1 -2 0 1 1 0 -1}}
| {{Monzo| 1 -2 0 1 1 0 -1 }}
| Augustma
|  
|  
|-
|-
| 170/169
| [[170/169]]
| 10.214
| 10.214
| (2*5*17)/13<span style="font-size: 70%; vertical-align: super;">2</span>
| (2×5×17)/13<sup>2</sup>
| {{Monzo|1 0 1 0 0 -2 1}}
| {{Monzo| 1 0 1 0 0 -2 1 }}
| Major naiadma
|  
|  
|-
|-
| 221/220
| [[221/220]]
| 7.8514
| 7.8514
| (13*17)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5*11)
| (13×17)/(2<sup>2</sup>×5×11)
| {{Monzo|-2 0 -1 0 -1 1 1}}
| {{Monzo| -2 0 -1 0 -1 1 1 }}
| Minor naiadma
|  
|  
|-
|-
| 256/255
| [[256/255]]
| 6.7759
| 6.7759
| (2<span style="font-size: 70%; vertical-align: super;">8</span>)/(3*5*17)
| 2<sup>8</sup>/(3×5×17)
| {{Monzo|8 -1 -1 0 0 0 -1}}
| {{Monzo| 8 -1 -1 0 0 0 -1 }}
| 255th subharmonic
| Charisma, charic comma, <br>septendecimal kleisma
| S16
|-
|-
| 273/272
| [[273/272]]
| 6.3532
| 6.3532
| (3*7*13)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*17)
| (3×7×13)/(2<sup>4</sup>×17)
| {{Monzo|-4 1 0 1 0 1 -1}}
| {{Monzo| -4 1 0 1 0 1 -1 }}
| Tannisma, prototannisma
|  
|  
|-
|-
| 289/288
| [[289/288]]
| 6.0008
| 6.0008
| (17/3)<span style="font-size: 70%; vertical-align: super;">2</span>/2<span style="font-size: 70%; vertical-align: super;">5</span>
| (17/3)<sup>2</sup>/2<sup>5</sup>
| {{Monzo|-5 -2 0 0 0 0 2}}
| {{Monzo| -5 -2 0 0 0 0 2 }}
|  
| Semitonisma
| S17
|-
|-
| 375/374
| [[375/374]]
| 4.6228
| 4.6228
| (3*5<span style="font-size: 70%; vertical-align: super;">3</span>)/(2*11*17)
| (3×5<sup>3</sup>)/(2×11×17)
| {{Monzo|-1 1 3 0 -1 0 -1}}
| {{Monzo| -1 1 3 0 -1 0 -1 }}
| Ursulisma
|  
|  
|-
|-
| 442/441
| [[442/441]]
| 3.9213
| 3.9213
| (2*13*17)/(3*7)<span style="font-size: 70%; vertical-align: super;">2</span>
| (2×13×17)/(3×7)<sup>2</sup>
| {{Monzo|1 -2 0 -2 0 1 1}}
| {{Monzo| 1 -2 0 -2 0 1 1 }}
| Seminaiadma
|  
|  
|-
|-
| 561/560
| [[561/560]]
| 3.0887
| 3.0887
| (3*11*17)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*5*7)
| (3×11×17)/(2<sup>4</sup>×5×7)
| {{Monzo|-4 1 -1 -1 1 0 1}}
| {{Monzo| -4 1 -1 -1 1 0 1 }}
| Monardisma, tsaharuk comma
|  
|  
|-
|-
| 595/594
| [[595/594]]
| 2.9121
| 2.9121
| (5*7*17)/(2*3<span style="font-size: 70%; vertical-align: super;">3</span>*11)
| (5×7×17)/(2×3<sup>3</sup>×11)
| {{Monzo|-1 -3 1 1 -1 0 1}}
| {{Monzo| -1 -3 1 1 -1 0 1 }}
| Dakotisma
|  
|  
|-
|-
| 715/714
| [[715/714]]
| 2.4230
| 2.4230
| (5*11*13)/(2*3*7*17)
| (5×11×13)/(2×3×7×17)
| {{Monzo|-1 -1 1 -1 1 1 -1}}
| {{Monzo| -1 -1 1 -1 1 1 -1 }}
| September comma, septembrisma
|  
|  
|-
|-
| 833/832
| [[833/832]]
| 2.0796
| 2.0796
| (7<span style="font-size: 70%; vertical-align: super;">2</span>*17)/(2<span style="font-size: 70%; vertical-align: super;">6</span>*13)
| (7<sup>2</sup>×17)/(2<sup>6</sup>×13)
| {{Monzo|-6 0 0 2 0 -1 1}}
| {{Monzo| -6 0 0 2 0 -1 1 }}
| Horizma, horizon comma
|  
|  
|-
|-
| 936/935
| [[936/935]]
| 1.8506
| 1.8506
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*13)/(5*11*17)
| (2<sup>3</sup>×3<sup>2</sup>×13)/(5×11×17)
| {{Monzo|3 2 -1 0 -1 1 -1}}
| {{Monzo| 3 2 -1 0 -1 1 -1 }}
| Ainisma, ainic comma
|  
|  
|-
|-
| 1089/1088
| [[1089/1088]]
| 1.5905
| 1.5905
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*11<span style="font-size: 70%; vertical-align: super;">2</span>)/(2<span style="font-size: 70%; vertical-align: super;">6</span>*17)
| (3×11)<sup>2</sup>/(2<sup>6</sup>×17)
| {{Monzo|-6 2 0 0 2 0 -1}}
| {{Monzo| -6 2 0 0 2 0 -1 }}
| twosquare comma
| Twosquare comma
| S33
|-
|-
| 1156/1155
| [[1156/1155]]
| 1.4983
| 1.4983
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*17<span style="font-size: 70%; vertical-align: super;">2</span>)/(3*5*7*11)
| (2×17)<sup>2</sup>/(3×5×7×11)
| {{Monzo|2 -1 -1 -1 -1 0 2}}
| {{Monzo| 2 -1 -1 -1 -1 0 2 }}
|  
| Quadrantonisma
| S34
|-
|-
| 1225/1224
| [[1225/1224]]
| 1.4138
| 1.4138
| (5<span style="font-size: 70%; vertical-align: super;">2</span>*7<span style="font-size: 70%; vertical-align: super;">2</span>)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (5×7)<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×17)
| {{Monzo|-3 -2 2 2 0 0 -1}}
| {{Monzo| -3 -2 2 2 0 0 -1 }}
|  
| Noellisma
| S35
|-
|-
| 1275/1274
| [[1275/1274]]
| 1.3584
| 1.3584
| (3*5<span style="font-size: 70%; vertical-align: super;">2</span>*17)/(2*7<span style="font-size: 70%; vertical-align: super;">2</span>*13)
| (3×5<sup>2</sup>×17)/(2×7<sup>2</sup>×13)
| {{Monzo|-1 1 2 -2 0 -1 1}}
| {{Monzo| -1 1 2 -2 0 -1 1 }}
| Cimbrisma
|  
|  
|-
|-
| 1701/1700
| [[1701/1700]]
| 1.0181
| 1.0181
| (3<span style="font-size: 70%; vertical-align: super;">5</span>*7)/[(2*5)<span style="font-size: 70%; vertical-align: super;">2</span>*17]
| (3<sup>5</sup>×7)/((2×5)<sup>2</sup>×17)
| {{Monzo|-2 5 -2 1 0 0 -1}}
| {{Monzo| -2 5 -2 1 0 0 -1 }}
| Palingenetic comma, palingenesis
|  
|  
|-
|-
| 2058/2057
| [[2058/2057]]
| 0.8414
| 0.84143
| (2*3*7<span style="font-size: 70%; vertical-align: super;">3</span>)/(11<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (2×3×7<sup>3</sup>)/(11<sup>2</sup>×17)
| {{Monzo|1 1 0 3 -2 0 -1}}
| {{Monzo| 1 1 0 3 -2 0 -1 }}
| xenisma
| Xenisma
|
|-
|-
| 2431/2430
| [[2431/2430]]
| 0.7123
| 0.71230
| (11*13*17)/(2*3<span style="font-size: 70%; vertical-align: super;">5</span>*5)
| (11×13×17)/(2×3<sup>5</sup>×5)
| {{Monzo|-1 -5 -1 0 1 1 1}}
| {{Monzo| -1 -5 -1 0 1 1 1 }}
| Heptacircle comma
|  
|  
|-
|-
| 2500/2499
| [[2500/2499]]
| 0.6926
| 0.69263
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">4</span>)/(3*7<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (2×5<sup>2</sup>)<sup>2</sup>/(3×7<sup>2</sup>×17)
| {{Monzo|2 -1 4 -2 0 0 -1}}
| {{Monzo| 2 -1 4 -2 0 0 -1 }}
|  
| Sperasma
| S50
|-
|-
| 2601/2600
| [[2601/2600]]
| 0.6657
| 0.66573
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*17<span style="font-size: 70%; vertical-align: super;">2</span>)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>*13)
| (3×17)<sup>2</sup>/(2<sup>3</sup>×5<sup>2</sup>×13)
| {{Monzo|-3 2 -2 0 0 -1 2}}
| {{Monzo| -3 2 -2 0 0 -1 2 }}
|  
| Sextantonisma
| S51
|-
|-
| 4914/4913
| [[4914/4913]]
| 0.3523
| 0.35234
| (2*3<span style="font-size: 70%; vertical-align: super;">3</span>*7*13)/(17<span style="font-size: 70%; vertical-align: super;">3</span>)
| (2×3<sup>3</sup>×7×13)/17<sup>3</sup>
| {{Monzo|1 3 0 1 0 1 -3}}
| {{Monzo| 1 3 0 1 0 1 -3 }}
| Baladisma
|  
|  
|-
|-
| 5832/5831
| [[5832/5831]]
| 0.2969
| 0.29688
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">6</span>)/(7<span style="font-size: 70%; vertical-align: super;">3</span>*17)
| (2×3<sup>2</sup>)<sup>3</sup>/(7<sup>3</sup>×17)
| {{Monzo|3 6 0 -3 0 0 -1}}
| {{Monzo| 3 6 0 -3 0 0 -1 }}
| Chlorisma
|  
|  
|-
|-
| 12376/12375
| [[Flashma|12376/12375]]
| 0.1399
| 0.13989
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*7*13*17)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">3</span>*11)
| (2<sup>3</sup>×7×13×17)/(3<sup>2</sup>×5<sup>3</sup>×11)
| {{Monzo|3 -2 -3 1 -1 1 1}}
| {{Monzo| 3 -2 -3 1 -1 1 1 }}
| Flashma
|  
|  
|-
|-
| 14400/14399
| [[Sparkisma|14400/14399]]
| 0.1202
| 0.12023
| (2<span style="font-size: 70%; vertical-align: super;">6</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>)/(7*11<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (2<sup>3</sup>×3×5)<sup>2</sup>/(7×11<sup>2</sup>×17)
| {{Monzo|6 2 2 -1 -2 0 -1}}
| {{monzo| 6 2 2 -1 -2 0 -1 }}
|  
| Sparkisma
| S120
|-
|-
| 28561/28560
| [[28561/28560]]
| 0.0606
| 0.060616
| (13<span style="font-size: 70%; vertical-align: super;">4</span>)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*3*5*7*17)
| (13/2)<sup>4</sup>/(3×5×7×17)
| {{Monzo|-4 -1 -1 -1 0 4 -1}}
| {{Monzo| -4 -1 -1 -1 0 4 -1 }}
|  
| Pisanoisma
| S169
|-
|-
| 31213/31212
| [[E-shaped comma|31213/31212]]
| 0.0555
| 0.055466
| (7<span style="font-size: 70%; vertical-align: super;">4</span>*13)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">3</span>*17<span style="font-size: 70%; vertical-align: super;">2</span>)
| (7<sup>4</sup>×13)/(2<sup>2</sup>×3<sup>3</sup>×17<sup>2</sup>)
| {{Monzo|-2 -3 0 4 0 1 -2}}
| {{Monzo| -2 -3 0 4 0 1 -2 }}
| E-shaped comma
|  
|  
|-
|-
| 37180/37179
| [[Lateral comma|37180/37179]]
| 0.0466
| 0.046564
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*5*11*13<span style="font-size: 70%; vertical-align: super;">2</span>)/(3<span style="font-size: 70%; vertical-align: super;">7</span>*17)
| (2<sup>2</sup>×5×11×13<sup>2</sup>)/(3<sup>7</sup>×17)
| {{Monzo|2 -7 1 0 1 2 -1}}
| {{Monzo| 2 -7 1 0 1 2 -1 }}
| Lateral comma
|  
|  
|-
|-
| 194481/194480
| [[Scintillisma|194481/194480]]
| 0.0089
| 0.0089018
| (3<span style="font-size: 70%; vertical-align: super;">4</span>*7<span style="font-size: 70%; vertical-align: super;">4</span>)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*5*11*13*17)
| (3×7)<sup>4</sup>/(2<sup>4</sup>×5×11×13×17)
| {{Monzo|-4 4 -1 4 -1 -1 -1}}
| {{Monzo| -4 4 -1 4 -1 -1 -1 }}
| scintillisma
| Scintillisma
| S441
|-
|-
| 336141/336140
| [[Aksial comma|336141/336140]]
| 0.0052
| 0.0051503
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*13<span style="font-size: 70%; vertical-align: super;">3</span>*17)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5*7<span style="font-size: 70%; vertical-align: super;">5</span>)
| (3<sup>2</sup>×13<sup>3</sup>×17)/(2<sup>2</sup>×5×7<sup>5</sup>)
| {{Monzo|-2 2 -1 -5 0 3 1}}
| {{Monzo| -2 2 -1 -5 0 3 1 }}
| Aksial comma
|  
|  
|-
|}
! colspan="5" | 19-limit (incomplete)
 
=== 19-limit ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[19/18]]
| [[19/18]]
| 93.603
| 93.603
| 19/(2*3<span style="font-size: 70%; vertical-align: super;">2</span>)
| 19/(2×3<sup>2</sup>)
| {{Monzo|-1 -2 0 0 0 0 0 1}}
| {{Monzo| -1 -2 0 0 0 0 0 1 }}
| undevicesimal semitone
| Large undevicesimal semitone
|
|-
|-
| [[20/19]]
| [[20/19]]
| 88.801
| 88.801
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*5)/19
| (2<sup>2</sup>×5)/19
| {{Monzo|2 0 1 0 0 0 0 -1}}
| {{Monzo| 2 0 1 0 0 0 0 -1 }}
| small undevicesimal semitone
| Small undevicesimal semitone
|
|-
|-
| [[39/38]]
| [[39/38]]
| 44.970
| 44.970
| (3*13)/(2*19)
| (3×13)/(2×19)
| {{Monzo|-1 1 0 0 0 1 0 -1}}
| {{Monzo| -1 1 0 0 0 1 0 -1 }}
| Undevicesimal diesis, <br>undevicesimal 2/9-tone
|  
|  
|-
|-
| [[57/56]]
| [[57/56]]
| 30.642
| 30.642
| (3*19)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*7)
| (3×19)/(2<sup>3</sup>×7)
| {{Monzo|-3 1 0 -1 0 0 0 1}}
| {{Monzo| -3 1 0 -1 0 0 0 1 }}
| Hendrix comma
|  
|  
|-
|-
| [[76/75]]
| [[76/75]]
| 22.931
| 22.931
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*19)/(3*5<span style="font-size: 70%; vertical-align: super;">2</span>)
| (2<sup>2</sup>×19)/(3×5<sup>2</sup>)
| {{Monzo|2 -1 -2 0 0 0 0 1}}
| {{Monzo| 2 -1 -2 0 0 0 0 1 }}
| Large undevicesimal 1/9-tone
|  
|  
|-
|-
| [[77/76]]
| [[77/76]]
| 22.631
| 22.631
| (7*11)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*19)
| (7×11)/(2<sup>2</sup>×19)
| {{Monzo|-2 0 0 1 1 0 0 -1}}
| {{Monzo| -2 0 0 1 1 0 0 -1 }}
| Small undevicesimal 1/9-tone
|  
|  
|-
|-
| [[96/95]]
| [[96/95]]
| 18.128
| 18.128
| (2<span style="font-size: 70%; vertical-align: super;">5</span>*3)/(5*19)
| (2<sup>5</sup>×3)/(5×19)
| {{Monzo|5 1 -1 0 0 0 0 -1}}
| {{Monzo| 5 1 -1 0 0 0 0 -1 }}
| 19th-partial chroma
|  
|  
|-
|-
| 133/132
| [[133/132]]
| 13.066
| 13.066
| (19*7)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*11)
| (7×19)/(2<sup>2</sup>×3×11)
| {{Monzo|-2 -1 0 1 -1 0 0 1}}
| {{Monzo| -2 -1 0 1 -1 0 0 1 }}
| Minithirdma
|  
|  
|-
|-
| 153/152
| [[153/152]]
| 11.352
| 11.352
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*17)/(2<span style="font-size: 70%; vertical-align: super;">3</span>*19)
| (3<sup>2</sup>×17)/(2<sup>3</sup>×19)
| {{Monzo|-3 2 0 0 0 0 1 -1}}
| {{Monzo| -3 2 0 0 0 0 1 -1 }}
| Ganassisma, Ganassi's comma
|  
|  
|-
|-
| 171/170
| [[171/170]]
| 10.154
| 10.154
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*19)/(2*5*17)
| (3<sup>2</sup>×19)/(2×5×17)
| {{Monzo|-1 2 -1 0 0 0 -1 1}}
| {{Monzo| -1 2 -1 0 0 0 -1 1 }}
| Malcolmisma
|  
|  
|-
|-
| 190/189
| [[190/189]]
| 9.1358
| 9.1358
| (2*5*19)/(3<span style="font-size: 70%; vertical-align: super;">3</span>*7)
| (2×5×19)/(3<sup>3</sup>×7)
| {{Monzo|1 -3 1 -1 0 0 0 1}}
| {{Monzo| 1 -3 1 -1 0 0 0 1 }}
| Cotylisma
|  
|  
|-
|-
| 209/208
| [[209/208]]
| 8.3033
| 8.3033
| (11*19)/(2<span style="font-size: 70%; vertical-align: super;">4</span>*13)
| (11×19)/(2<sup>4</sup>×13)
| {{Monzo|-4 0 0 0 1 -1 0 1}}
| {{Monzo| -4 0 0 0 1 -1 0 1 }}
| Yama comma
|  
|  
|-
|-
| 210/209
| [[210/209]]
| 8.2637
| 8.2637
| (2*3*5*7)/(11*19)
| (2×3×5×7)/(11×19)
| {{Monzo|1 1 1 1 -1 0 0 -1}}
| {{Monzo| 1 1 1 1 -1 0 0 -1 }}
| Spleen comma
|  
|  
|-
|-
| 286/285
| [[286/285]]
| 6.0639
| 6.0639
| (2*11*13)/(3*5*19)
| (2×11×13)/(3×5×19)
| {{Monzo|1 -1 -1 0 1 1 0 -1}}
| {{Monzo| 1 -1 -1 0 1 1 0 -1 }}
| Chthonisma
|  
|  
|-
|-
| 324/323
| [[324/323]]
| 5.3516
| 5.3516
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">4</span>)/(17*19)
| (2×3<sup>2</sup>)<sup>2</sup>/(17×19)
| {{Monzo|2 4 0 0 0 0 -1 -1}}
| {{Monzo| 2 4 0 0 0 0 -1 -1 }}
|  
| Photisma
| S18
|-
|-
| 343/342
| [[343/342]]
| 5.0547
| 5.0547
| 7<span style="font-size: 70%; vertical-align: super;">4</span>/(2*3<span style="font-size: 70%; vertical-align: super;">3</span>*19)
| 7<sup>3</sup>/(2×3<sup>2</sup>×19)
| {{Monzo|-1 -2 0 3 0 0 0 -1}}
| {{Monzo| -1 -2 0 3 0 0 0 -1 }}
| Nutrisma
|  
|  
|-
|-
| 361/360
| [[361/360]]
| 4.8023
| 4.8023
| 19<span style="font-size: 70%; vertical-align: super;">2</span>/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>*5)
| 19<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×5)
| {{Monzo|-3 -2 -1 0 0 0 0 2}}
| {{Monzo| -3 -2 -1 0 0 0 0 2 }}
|  
| Go comma, Dudon comma
| S19
|-
|-
| 400/399
| [[400/399]]
| 4.3335
| 4.3335
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>)/(3*7*19)
| (2<sup>2</sup>×5)<sup>2</sup>/(3×7×19)
| {{Monzo|4 -1 2 -1 0 0 0 -1}}
| {{Monzo| 4 -1 2 -1 0 0 0 -1 }}
|  
| Devichroma
| S20
|-
|-
| 456/455
| [[456/455]]
| 3.8007
| 3.8007
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3*19)/(5*7*13)
| (2<sup>3</sup>×3×19)/(5×7×13)
| {{Monzo|3 1 -1 -1 0 -1 0 1}}
| {{Monzo| 3 1 -1 -1 0 -1 0 1 }}
| Abnobisma
|  
|  
|-
|-
| 476/475
| [[476/475]]
| 3.6409
| 3.6409
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*7*17)/(5<span style="font-size: 70%; vertical-align: super;">2</span>*19)
| (2<sup>2</sup>×7×17)/(5<sup>2</sup>×19)
| {{Monzo|2 0 -2 1 0 0 1 -1}}
| {{Monzo| 2 0 -2 1 0 0 1 -1 }}
| Hedwigma
|
|-
| [[495/494]]
| 3.5010
| (3<sup>2</sup>×5×11)/(2×13×19)
| {{Monzo| -1 2 1 0 1 -1 0 -1 }}
| Eulalisma
|
|-
| [[513/512]]
| 3.3780
| (3<sup>3</sup>×19)/2<sup>9</sup>
| {{Monzo| -9 3 0 0 0 0 0 1 }}
| Undevicesimal comma, undevicesimal schisma, <br>Boethius' comma, 513th harmonic
|
|-
| [[969/968]]
| 1.7875
| (3×17×19)/(2<sup>3</sup>×11<sup>2</sup>)
| {{Monzo| -3 1 0 0 -2 0 1 1 }}
| Kingfisher comma
|
|-
| [[1216/1215]]
| 1.4243
| (2<sup>6</sup>×19)/(3<sup>5</sup>×5)
| {{Monzo| 6 -5 -1 0 0 0 0 1 }}
| Password comma, Eratosthenes' comma
|
|-
| [[1331/1330]]
| 1.3012
| 11<sup>3</sup>/(2×5×7×19)
| {{Monzo| -1 0 -1 -1 3 0 0 -1 }}
| Solvejgsma
|  
|  
|-
|-
| 495/494
| [[1445/1444]]
| 3.501
| 1.1985
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*5*11)/(2*13*19)
| 5×(17/(2×19))<sup>2</sup>
| {{Monzo|-1 2 1 0 1 -1 0 -1}}
| {{Monzo| -2 0 1 0 0 0 2 -2 }}
| Aureusma
|  
|  
|-
|-
| 513/512
| [[1521/1520]]
| 3.378
| 1.1386
| (3<span style="font-size: 70%; vertical-align: super;">3</span>*19)/2<span style="font-size: 70%; vertical-align: super;">9</span>
| (3×13)<sup>2</sup>/(2<sup>4</sup>×5×19)
| {{Monzo|-9 3 0 0 0 0 0 1}}
| {{Monzo| -4 2 -1 0 0 2 0 -1 }}
| 513th harmonic
| Pinkanberry
| S39
|-
|-
! colspan="5" | 23-limit (incomplete)
| [[1540/1539]]
| 1.1245
| (2<sup>2</sup>×5×7×11)/(3<sup>4</sup>×19)
| {{Monzo| 2 -4 1 1 1 0 0 -1 }}
| Kevolisma
|
|-
| [[1729/1728]]
| 1.0016
| (7×13×19)/(2<sup>2</sup>×3)<sup>3</sup>
| {{Monzo| -6 -3 0 1 0 1 0 1 }}
| Ramanujanisma
|
|-
| [[2376/2375]]
| 0.72879
| ((2×3)/5)<sup>3</sup>×(11/19)
| {{Monzo| 3 3 -3 0 1 0 0 -1 }}
| Trichthonisma
|
|-
| [[2432/2431]]
| 0.71200
| (2<sup>7</sup>×19)/(11×13×17)
| {{Monzo| 7 0 0 0 -1 -1 -1 1 }}
| Blumeyer comma
|
|-
| [[2926/2925]]
| 0.59177
| (2×7×11×19)/((3×5)<sup>2</sup>×13)
| {{Monzo| 1 -2 -2 1 1 -1 0 1 }}
| Neovulture comma, neovulturisma
|
|-
| [[3136/3135]]
| 0.55214
| (2<sup>3</sup>×7)<sup>2</sup>/(3×5×11×19)
| {{Monzo| 6 -1 -1 2 -1 0 0 -1 }}
| Neomirkwai comma, neomirkwaisma
| S56
|-
| [[3250/3249]]
| 0.53277
| (2×5<sup>3</sup>×13)/(3×19)<sup>2</sup>
| {{Monzo| 1 -2 3 0 0 1 0 -2 }}
| Martebisma
|
|-
| [[4200/4199]]
| 0.41225
| (2<sup>3</sup>×3×5<sup>2</sup>×7)/(13×17×19)
| {{Monzo| 3 1 2 1 0 -1 -1 -1 }}
| Neosatanisma
|
|-
| [[5776/5775]]
| 0.29975
| (2<sup>2</sup>×19)<sup>2</sup>/(3×5<sup>2</sup>×7×11)
| {{Monzo| 4 -1 -2 -1 -1 0 0 2 }}
| Neovish comma, neovishma
| S76
|-
| [[5929/5928]]
| 0.29202
| (7×11)<sup>2</sup>/(2<sup>3</sup>×3×13×19)
| {{Monzo| -3 -1 0 2 2 -1 0 -1 }}
| Manzanisma
| S77
|-
| [[5985/5984]]
| 0.28929
| (3<sup>2</sup>×5×7×19)/(2<sup>5</sup>×11×17)
| {{Monzo| -5 2 1 1 -1 0 -1 1 }}
| Neogrendel comma, neogrendelisma
|
|-
| [[6175/6174]]
| 0.28038
| (5<sup>2</sup>×13×19)/(2×3<sup>2</sup>×7<sup>3</sup>)
| {{Monzo| -1 -2 2 -3 0 1 0 1 }}
| Neonewtisma
|
|-
| [[6860/6859]]
| 0.25238
| (2<sup>2</sup>×5×7<sup>3</sup>)/19<sup>3</sup>
| {{Monzo| 2 0 1 3 0 0 0 -3 }}
| Devicubisma
|
|-
| 10241/10240
| 0.16906
| (7<sup>2</sup>×11×19)/(2<sup>11</sup>×5)
| {{Monzo| -11 0 -1 2 1 0 0 1 }}
|
|
|-
| 10830/10829
| 0.15986
| (2×3×5×19<sup>2</sup>)/(7<sup>2</sup>×13×17)
| {{Monzo| 1 1 1 -2 0 -1 -1 2 }}
|
|
|-
| [[12636/12635]]
| 0.13701
| (2<sup>2</sup>×3<sup>5</sup>×13)/(5×7×19<sup>2</sup>)
| {{Monzo| 2 5 -1 -1 0 1 0 -2 }}
| Padriellisma
|
|-
| 13377/13376
| 0.12942
| (3×7<sup>3</sup>×13)/(2<sup>6</sup>×11×19)
| {{Monzo| -6 1 0 3 -1 1 0 -1 }}
|
|
|-
| 14080/14079
| 0.12296
| (2<sup>8</sup>×5×11)/(3×13×19<sup>2</sup>)
| {{Monzo| 8 -1 1 0 1 -1 0 -2 }}
|
|
|-
| 14365/14364
| 0.12052
| (5×13<sup>2</sup>×17)/(2<sup>2</sup>×3<sup>3</sup>×7×19)
| {{Monzo| -2 -3 1 -1 0 2 1 -1 }}
|
|
|-
| 23409/23408
| 0.073957
| ((3/2)<sup>2</sup>×17)<sup>2</sup>/(7×11×19)
| {{Monzo| -4 4 0 -1 -1 0 2 -1 }}
|
| S153
|-
| 27456/27455
| 0.063056
| (2<sup>6</sup>×3×11×13)/(5×17<sup>2</sup>×19)
| {{Monzo| 6 1 -1 0 1 1 -2 -1 }}
|
|
|-
| 28900/28899
| 0.059905
| ((2×5×17)/(3×13))<sup>2</sup>/19
| {{Monzo| 2 -2 2 0 0 -2 2 -1 }}
|
| S170
|-
| 43681/43680
| 0.039634
| (11×19)<sup>2</sup>/(2<sup>5</sup>×3×5×7×13)
| {{Monzo| -5 -1 -1 -1 2 -1 0 2 }}
|
| S209
|-
| 89376/89375
| 0.019370
| (2<sup>5</sup>×3×7<sup>2</sup>×19)/(5<sup>4</sup>×11×13)
| {{Monzo| 5 1 -4 2 -1 -1 0 1 }}
|
|
|-
| 104976/104975
| 0.016492
| (2×3<sup>2</sup>)<sup>4</sup>/(5<sup>2</sup>×13×17×19)
| {{Monzo| 4 8 -2 0 0 -1 -1 -1 }}
|
| S324
|-
| [[Decimillisma|165376/165375]]
| 0.010469
| (2<sup>9</sup>×17×19)/((3×5)<sup>3</sup>×7<sup>2</sup>)
| {{Monzo| 9 -3 -3 -2 0 0 1 1 }}
| Decimillisma
|
|-
| 228096/228095
| 0.0075900
| ((2<sup>2</sup>×3)/7)<sup>4</sup>×(11/(5×19))
| {{Monzo| 8 4 -1 -4 1 0 0 -1 }}
|
|
|-
| 601426/601425
| 0.0028786
| (2×7<sup>2</sup>×17×19<sup>2</sup>)/(3<sup>7</sup>×5<sup>2</sup>×11)
| {{Monzo| 1 -7 -2 2 -1 0 1 2 }}
|
|
|-
| [[Devicisma|633556/633555]]
| 0.0027326
| (2<sup>2</sup>×7×11<sup>3</sup>×17)/(3<sup>3</sup>×5×13×19<sup>2</sup>)
| {{Monzo| 2 -3 -1 1 3 -1 1 -2 }}
| Devicisma
|
|-
| 709632/709631
| 0.0024396
| (2<sup>10</sup>×3<sup>2</sup>×7×11)/(13<sup>3</sup>×17×19)
| {{Monzo| 10 2 0 1 1 -3 -1 -1 }}
|
|
|-
| 5909761/5909760
| 0.00029294
| (11×13×17)<sup>2</sup>/(2<sup>8</sup>×3<sup>5</sup>×5×19)
| {{Monzo| -8 -5 -1 0 2 2 2 -1 }}
|
| S2431
|-
| <font style="font-size:0.88em">11859211/11859210</font>
| 0.00014598
| (19/(3×11))<sup>4</sup>×((7×13)/(2×5))
| {{Monzo| -1 -4 -1 1 -4 1 0 4 }}
|
|
|}
 
=== 23-limit ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[23/22]]
| [[23/22]]
| 76.956
| 76.956
| 23/(2*11)
| 23/(2×11)
|  
| {{Monzo| -1 0 0 0 -1 0 0 0 1 }}
| Large vicesimotertial semitone
|  
|  
|-
|-
| [[24/23]]
| [[24/23]]
| 73.681
| 73.681
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3)/23
| (2<sup>3</sup>×3)/23
|  
| {{Monzo| 3 1 0 0 0 0 0 0 -1 }}
| Small vicesimotertial semitone
|  
|  
|-
|-
| [[46/45]]
| [[46/45]]
| 38.051
| 38.051
| (2*23)/(3<span style="font-size: 70%; vertical-align: super;">2</span>*5)
| (2×23)/(3<sup>2</sup>×5)
|  
| {{Monzo| 1 -2 -1 0 0 0 0 0 1 }}
| Vicesimotertial 1/5-tone
|  
|  
|-
|-
| [[69/68]]
| [[69/68]]
| 25.274
| 25.274
| (3*23)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*17)
| (3×23)/(2<sup>2</sup>×17)
|  
| {{Monzo| -2 1 0 0 0 0 -1 0 1 }}
| Large vicesimotertial 1/8-tone
|  
|  
|-
|-
| [[70/69]]
| [[70/69]]
| 24.910
| 24.910
| (2*5*7)/(3*23)
| (2×5×7)/(3×23)
|  
| {{Monzo| 1 -1 1 1 0 0 0 0 -1 }}
| Small vicesimotertial 1/8-tone
|  
|  
|-
|-
| [[92/91]]
| [[92/91]]
| 18.921
| 18.921
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*23)/(7*13)
| (2<sup>2</sup>×23)/(7×13)
| {{Monzo| 2 0 0 -1 0 -1 0 0 1 }}
| Undinisma
|
|-
| [[115/114]]
| 15.120
| (5×23)/(2×3×19)
| {{Monzo| -1 -1 1 0 0 0 0 -1 1 }}
| Yarmanisma
|
|-
| [[161/160]]
| 10.787
| (7×23)/(2<sup>5</sup>×5)
| {{Monzo| -5 0 -1 1 0 0 0 0 1 }}
| Major kirnbergerisma
|
|-
| [[162/161]]
| 10.720
| (2×3<sup>4</sup>)/(7×23)
| {{Monzo| 1 4 0 -1 0 0 0 0 -1 }}
| Minor kirnbergerisma
|
|-
| [[208/207]]
| 8.3433
| (2<sup>4</sup>×13)/(3<sup>2</sup>×23)
| {{Monzo| 4 -2 0 0 0 1 0 0 -1 }}
| Vicetone comma
|
|-
| [[231/230]]
| 7.5108
| (3×7×11)/(2×5×23)
| {{Monzo| -1 1 -1 1 1 0 0 0 -1 }}
| Major neutravicema
|
|-
| [[253/252]]
| 6.8564
| (11×23)/((2×3)<sup>2</sup>×7)
| {{Monzo| -2 -2 0 -1 1 0 0 0 1 }}
| Middle neutravicema
|
|-
| [[276/275]]
| 6.2840
| (2<sup>2</sup>×3×23)/(5<sup>2</sup>×11)
| {{Monzo| 2 1 -2 0 -1 0 0 0 1 }}
| Minor neutravicema
|
|-
| [[300/299]]
| 5.7804
| ((2×5)<sup>2</sup>×3)/(13×23)
| {{Monzo| 2 1 2 0 0 -1 0 0 -1 }}
| Major naiadvicema
|
|-
| [[323/322]]
| 5.3682
| (17×19)/(2×7×23)
| {{Monzo| -1 0 0 -1 0 0 1 1 -1 }}
| Major semivicema
|
|-
| [[391/390]]
| 4.4334
| (17×23)/(2×3×5×13)
| {{Monzo| -1 -1 -1 0 0 -1 1 0 1 }}
| Minor naiadvicema
|
|-
| [[392/391]]
| 4.4221
| (2<sup>3</sup>×7<sup>2</sup>)/(17×23)
| {{Monzo| 3 0 0 2 0 0 -1 0 -1 }}
| Minor semivicema
|  
|  
|-
| [[460/459]]
| 3.7676
| (2<sup>2</sup>×5×23)/(3<sup>3</sup>×17)
| {{Monzo| 2 -3 1 0 0 0 -1 0 1 }}
| Scanisma, vicewolf comma
|  
|  
|-
|-
| 115/114
| [[484/483]]
| 15.120
| 3.5806
| (5*23)/(2*3*19)
| (2×11)<sup>2</sup>/(3×7×23)
| {{Monzo| 2 -1 0 -1 2 0 0 0 -1 }}
| Pittsburghisma
| S22
|-
| [[507/506]]
| 3.4180
| (3×13<sup>2</sup>)/(2×11×23)
| {{Monzo| -1 1 0 0 -1 2 0 0 -1 }}
| Laodicisma
|
|-
| [[529/528]]
| 3.2758
| 23<sup>2</sup>/(2<sup>4</sup>×3×11)
| {{Monzo| -4 -1 0 0 -1 0 0 0 2 }}
| Preziosisma
| S23
|-
| [[576/575]]
| 3.0082
| ((2<sup>3</sup>×3)/5)<sup>2</sup>/23
| {{Monzo| 6 2 -2 0 0 0 0 0 -1 }}
| Worcester comma
| S24
|-
| [[736/735]]
| 2.3538
| (2<sup>5</sup>×23)/(3×5×7<sup>2</sup>)
| {{Monzo| 5 -1 -1 -2 0 0 0 0 1 }}
| Harvardisma
|
|-
| [[760/759]]
| 2.2794
| (2<sup>3</sup>×5×19)/(3×11×23)
| {{Monzo| 3 -1 1 0 -1 0 0 1 -1 }}
| Squadronisma
|
|-
| [[875/874]]
| 1.9797
| (5<sup>3</sup>×7)/(2×19×23)
| {{Monzo| -1 0 3 1 0 0 0 -1 -1 }}
| Nymphisma
|
|-
| [[897/896]]
| 1.9311
| (3×13×23)/(2<sup>7</sup>×7)
| {{Monzo| -7 1 0 -1 0 1 0 0 1 }}
| Lysistratisma
|
|-
| [[1105/1104]]
| 1.5674
| (5×13×17)/(2<sup>4</sup>×3×23)
| {{Monzo| -4 -1 1 0 0 1 1 0 -1 }}
| Fragarisma
|
|-
| [[1197/1196]]
| 1.4469
| (3<sup>2</sup>×7×19)/(2<sup>2</sup>×13×23)
| {{Monzo| -2 2 0 1 0 -1 0 1 -1 }}
| Rodessisma
|
|-
| [[1288/1287]]
| 1.3446
| (2<sup>3</sup>×7×23)/(3<sup>2</sup>×11×13)
| {{Monzo| 3 -2 0 1 -1 -1 0 0 1 }}
| Santisma, triaphonisma
|
|-
| [[1496/1495]]
| 1.1576
| (2<sup>3</sup>×11×17)/(5×13×23)
| {{Monzo| 3 0 -1 0 1 -1 1 0 -1 }}
| Turkisma
|
|-
| [[1863/1862]]
| 0.92952
| (3<sup>4</sup>×23)/(2×7<sup>2</sup>×19)
| {{Monzo| -1 4 0 -2 0 0 0 -1 1 }}
| Antinousisma
|
|-
| [[2024/2023]]
| 0.85556
| (2<sup>3</sup>×11×23)/(7×17<sup>2</sup>)
| {{Monzo| 3 0 0 -1 1 0 -2 0 1 }}
| Artifisma, insincere comma
|
|-
| [[2025/2024]]
| 0.85514
| (3<sup>2</sup>×5)<sup>2</sup>/(2<sup>3</sup>×11×23)
| {{Monzo| -3 4 2 0 -1 0 0 0 -1 }}
| Cupcake comma, cupcakesma
| S45
|-
| [[2185/2184]]
| 0.79251
| (5×19×23)/(2<sup>3</sup>×3×7×13)
| {{Monzo| -3 -1 1 -1 0 -1 0 1 1 }}
| Guangdongisma
|
|-
| [[2300/2299]]
| 0.75287
| ((2×5)/11)<sup>2</sup>×(23/19)
| {{Monzo| 2 0 2 0 -2 0 0 -1 1 }}
| Travellisma
|
|-
| [[2646/2645]]
| 0.65441
| (2×3<sup>3</sup>×7<sup>2</sup>)/(5×23<sup>2</sup>)
| {{Monzo| 1 3 -1 2 0 0 0 0 -2 }}
| Biyativice comma, biyativicema
|
|-
| [[2737/2736]]
| 0.63265
| (7×17×23)/(2<sup>4</sup>×3<sup>2</sup>×19)
| {{Monzo| -4 -2 0 1 0 0 1 -1 1 }}
| Kotkisma
|
|-
| [[3060/3059]]
| 0.56586
| ((2×3)<sup>2</sup>×5×17)/(7×19×23)
| {{Monzo| 2 2 1 -1 0 0 1 -1 -1 }}
| Vicious comma, viciousma
|
|-
| [[3381/3380]]
| 0.51212
| (3×7<sup>2</sup>×23)/(2<sup>2</sup>×5×13<sup>2</sup>)
| {{Monzo| -2 1 -1 2 0 -2 0 0 1 }}
| Mikkolisma
|
|-
| [[3520/3519]]
| 0.49190
| (2<sup>6</sup>×5×11)/(3<sup>2</sup>×17×23)
| {{Monzo| 6 -2 1 0 1 0 -1 0 -1 }}
| Vicedim comma, vicedimma
|
|-
| [[3888/3887]]
| 0.44533
| (2<sup>4</sup>×3<sup>5</sup>)/(13<sup>2</sup>×23)
| {{Monzo| 4 5 0 0 0 -2 0 0 -1 }}
| Shoalma, vicetride comma
|
|-
| [[4693/4692]]
| 0.36893
| (13×19<sup>2</sup>)/(2<sup>2</sup>×3×17×23)
| {{Monzo| -2 -1 0 0 0 1 -1 2 -1 }}
| Viceaug comma, viceaugma
|
|-
| [[4761/4760]]
| 0.36367
| (3×23)<sup>2</sup>/(2<sup>3</sup>×5×7×17)
| {{Monzo| -3 2 -1 -1 0 0 -1 0 2 }}
| Demiquartervice comma
| S69
|-
| [[5083/5082]]
| 0.34063
| (13×17×23)/(2×3×7×11<sup>2</sup>)
| {{Monzo| -1 -1 0 -1 -2 1 1 0 1 }}
| Broadviewsma
|
|-
| [[7866/7865]]
| 0.22010
| (2×3<sup>2</sup>×19×23)/(5×11<sup>2</sup>×13)
| {{Monzo| 1 2 -1 0 -2 -1 0 1 1 }}
|
|
|-
| [[8281/8280]]
| 0.20907
| (7×13)<sup>2</sup>/(2<sup>3</sup>×3<sup>2</sup>×5×23)
| {{Monzo| -3 -2 -1 2 0 2 0 0 -1 }}
|
| S91
|-
| [[8625/8624]]
| 0.20073
| (3×5<sup>3</sup>×23)/(2<sup>4</sup>×7<sup>2</sup>×11)
| {{Monzo| -4 1 3 -2 -1 0 0 0 1 }}
| Beerglass comma
|
|-
| [[10626/10625]]
| 0.16293
| (2×3×7×11×23)/(5<sup>4</sup>×17)
| {{Monzo| 1 1 -4 1 1 0 -1 0 1 }}
| Demiglace comma
|
|-
| 11271/11270
| 0.15361
| (3×13×17<sup>2</sup>)/(2×5×7<sup>2</sup>×23)
| {{Monzo| -1 1 -1 -2 0 1 2 0 -1 }}
|  
|  
|  
|  
|-
|-
| 161/160
| 11662/11661
| 10.7865
| 0.14846
| (7*23)/(2<span style="font-size: 70%; vertical-align: super;">5</span>*5)
| (2×7<sup>3</sup>×17)/(3×13<sup>2</sup>×23)
| {{Monzo| 1 -1 0 3 0 -2 1 0 -1 }}
|  
|  
|  
|  
|-
|-
| 162/161
| [[Vicetertisma|12168/12167]]
| 10.720
| 0.14228
| (2*3<span style="font-size: 70%; vertical-align: super;">4</span>)/(7*23)
| (2/23)<sup>3</sup>×(3×13)<sup>2</sup>
| {{Monzo| 3 2 0 0 0 2 0 0 -3 }}
| Vicetertisma
|
|-
| 16929/16928
| 0.10227
| (3<sup>4</sup>×11×19)/(2<sup>5</sup>×23<sup>2</sup>)
| {{Monzo| -5 4 0 0 1 0 0 1 -2 }}
|  
|  
|  
|  
|-
|-
| 208/207
| 19551/19550
| 8.343
| 0.088552
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*13)/(23*9)
| (3×7<sup>3</sup>×19)/(2×5<sup>2</sup>×17×23)
| {{Monzo| -1 1 -2 3 0 0 -1 1 -1 }}
|  
|  
|  
|  
|-
|-
| 576/575
| 21505/21504
| 3.008
| 0.080506
| (2<span style="font-size: 70%; vertical-align: super;">6</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)/(23*25)
| (5×11×17×23)/(2<sup>10</sup>×3×7)
| {{Monzo| -10 -1 1 -1 1 0 1 0 1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 29-limit (incomplete)
| 21736/21735
| 0.079650
| (2<sup>3</sup>×11×13×19)/(3<sup>3</sup>×5×7×23)
| {{Monzo| 3 -3 -1 -1 1 1 0 1 -1 }}
|
|
|-
|-
| [[29/28]]
| 23276/23275
| 60.751
| 0.074380
| 29/(2<span style="font-size: 70%; vertical-align: super;">2</span>*7)
| ((2×23)/(5×7))<sup>2</sup>×(11/19)
| {{Monzo| 2 0 -2 -2 1 0 0 -1 2 }}
|  
|  
|  
|  
|-
|-
| [[30/29]]
| [[Joshuavoisma|25025/25024]]
| 58.692
| 0.069182
| (2*3*5)/29
| (5<sup>2</sup>×7×11×13)/(2<sup>6</sup>×17×23)
| {{Monzo| -6 0 2 1 1 1 -1 0 -1 }}
| Joshuavoisma
|  
|  
|-
| [[Diarithmedia|25921/25920]]
| 0.066790
| (7×23)<sup>2</sup>/(2<sup>6</sup>×3<sup>4</sup>×5)
| {{Monzo| -6 -4 -1 2 0 0 0 0 2 }}
| Diarithmedia
| S161
|-
| 43264/43263
| 0.040016
| (2<sup>4</sup>×13)<sup>2</sup>/(3<sup>2</sup>×11×19×23)
| {{Monzo| 8 -2 0 0 -1 2 0 -1 -1 }}
|  
|  
| S208
|-
|-
| [[58/57]]
| 52326/52325
| 30.109
| 0.033086
| (2*29)/(3*19)
| (2×3<sup>4</sup>×17×19)/(5<sup>2</sup>×7×13×23)
| {{Monzo| 1 4 -2 -1 0 -1 1 1 -1 }}
|  
|  
|  
|  
|-
|-
| [[88/87]]
| 71875/71874
| 19.786
| 0.024087
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*11)/(3*29)
| (5<sup>5</sup>×23)/(2×(3×11)<sup>3</sup>)
| {{Monzo| -1 -3 5 0 -3 0 0 0 1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 31-limit (incomplete)
| 75141/75140
| 0.023040
| (3<sup>3</sup>×11<sup>2</sup>×23)/(2<sup>2</sup>×5×13×17<sup>2</sup>)
| {{Monzo| -2 3 -1 0 2 -1 -2 0 1 }}
|
|
|-
|-
| [[31/30]]
| 76545/76544
| 56.767
| 0.022617
| 31/(2*3*5)
| (3<sup>7</sup>×5×7)/(2<sup>8</sup>×13×23)
| {{Monzo| -8 7 1 1 0 -1 0 0 -1 }}
|  
|  
|  
|  
|-
|-
| [[32/31]]
| 104329/104328
| 54.964
| 0.016594
| 2<span style="font-size: 70%; vertical-align: super;">5</span>/31
| (17×19)<sup>2</sup>/(2<sup>3</sup>×3<sup>4</sup>×7×23)
| {{Monzo| -3 -4 0 -1 0 0 2 2 -1 }}
|  
|  
| 31st subharmonic
| S323
|-
|-
| [[63/62]]
| 122452/122451
| 27.700
| 0.014138
| (3<span style="font-size: 70%; vertical-align: super;">2</span>*7)/(2*31)
| (2<sup>2</sup>×11<sup>3</sup>×23)/(3×7<sup>4</sup>×17)
| {{Monzo| 2 -1 0 -4 3 0 -1 0 1 }}
|  
|  
|  
|  
|-
|-
| [[93/92]]
| 126225/126224
| 18.716
| 0.013716
| (3*31)/(2<span style="font-size: 70%; vertical-align: super;">2</span>*23)
| (3<sup>3</sup>×5<sup>2</sup>×11×17)/(2<sup>4</sup>×7<sup>3</sup>×23)
| {{Monzo| -4 3 2 -3 1 0 1 0 -1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 37-limit (incomplete)
| 152881/152880
| 0.011324
| (17×23)<sup>2</sup>/(2<sup>4</sup>×3×5×7<sup>2</sup>×13)
| {{Monzo| -4 -1 -1 -2 0 -1 2 0 2 }}
|
| S391
|-
|-
| [[37/36]]
| 202125/202124
| 47.434
| 0.0085652
| 37/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)
| (3×5<sup>3</sup>×7<sup>2</sup>×11)/(2<sup>2</sup>×13<sup>3</sup>×23)
| {{Monzo| -2 1 3 2 1 -3 0 0 -1 }}
|  
|  
|  
|  
|-
|-
| [[38/37]]
| 264385/264384
| 46.169
| 0.0065482
| (2*19)/37
| (5×11<sup>2</sup>×19×23)/(2<sup>6</sup>×3<sup>5</sup>×17)
| {{Monzo| -6 -5 1 0 2 0 -1 1 1 }}
|  
|  
|  
|  
|-
|-
| [[75/74]]
| 282625/282624
| 23.238
| 0.0061256
| (3*5<span style="font-size: 70%; vertical-align: super;">2</span>)/(2*37)
| (5<sup>3</sup>×7×17×19)/(2<sup>12</sup>×3×23)
| {{Monzo| -12 -1 3 1 0 0 1 1 -1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 41-limit (incomplete)
| 328510/328509
| 0.0052700
| (2×5×7×13×19<sup>2</sup>)/(3×23)<sup>3</sup>
| {{Monzo| 1 -3 1 1 0 1 0 2 -3 }}
|
|
|-
| 2023425/2023424
| 0.00085560
| ((3×5×23)<sup>2</sup>×17)/(2<sup>13</sup>×13×19)
| {{Monzo| -13 2 2 0 0 -1 1 -1 2 }}
|
|
|-
| 4096576/4096575
| 0.00042261
| ((2<sup>3</sup>×11×23)/(3<sup>2</sup>×5×17))<sup>2</sup>/7
| {{Monzo| 6 -4 -2 -1 2 0 -2 0 2 }}
|
| S2024
|-
| 5142501/5142500
| 0.00033665
| 3<sup>3</sup>×((7×13)/(2×5<sup>2</sup>×11))<sup>2</sup>×(23/17)
| {{Monzo| -2 3 -4 2 -2 2 -1 0 1 }}
|
|
|}
 
=== 29-limit ===
{{Main|List of superparticular intervals/29-limit}}
 
=== 31-limit ===
{{Main|List of superparticular intervals/31-limit}}
 
=== 37-limit ===
{{Main|List of superparticular intervals/37-limit}}
 
=== 41-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[41/40]]
| [[41/40]]
| 42.749
| 42.749
| 41/(2<span style="font-size: 70%; vertical-align: super;">3</span>*5)
| 41/(2<sup>3</sup>×5)
|  
| 2.5.41 {{monzo| -3 -1 1 }}
| Large quadracesimoprimal 1/5-tone
|  
|  
|-
|-
| [[42/41]]
| [[42/41]]
| 41.719
| 41.719
| (2*3*7)/41
| (2×3×7)/41
|  
| 2.3.7.41 {{monzo| 1 1 1 -1 }}
| Small quadracesimoprimal 1/5-tone
|  
|  
|-
|-
| [[82/81]]
| [[82/81]]
| 21.242
| 21.242
| (2*41)/3<span style="font-size: 70%; vertical-align: super;">4</span>
| (2×41)/3<sup>4</sup>
| 2.3.41 {{monzo| 1 -4 1 }}
| 41st-partial chroma
|
|-
| [[124/123]]
| 14.018
| (2<sup>2</sup>×31)/(3×41)
| 2.3.31.41 {{monzo| 2 -1 1 -1 }}
|
|
|-
| [[165/164]]
| 10.524
| (3×5×11)/(2<sup>2</sup>×41)
| 2.3.5.11.41 {{monzo| -2 1 1 1 -1 }}
|
|
|-
| [[205/204]]
| 8.4657
| (5×41)/(2<sup>2</sup>×3×17)
| 2.3.5.17.41 {{monzo| -2 -1 1 -1 1 }}
|
|
|-
| [[246/245]]
| 7.0519
| (2×3×41)/(5×7<sup>2</sup>)
| 2.3.5.7.41 {{monzo| 1 1 -1 -2 1 }}
|
|
|-
| [[247/246]]
| 7.0233
| (13×19)/(2×3×41)
| 2.3.13.19.41 {{monzo| -1 -1 1 1 -1 }}
|
|
|-
| [[287/286]]
| 6.0427
| (7×41)/(2×11×13)
| 2.7.11.13.41 {{monzo| -1 1 -1 -1 1 }}
|
|
|-
| [[288/287]]
| 6.0217
| (2<sup>5</sup>×3<sup>2</sup>)/(7×41)
| 2.3.7.41 {{monzo| 5 2 -1 -1 }}
|
|
|-
| [[369/368]]
| 4.6981
| (3<sup>2</sup>×41)/(2<sup>4</sup>×23)
| 2.3.23.41 {{monzo| -4 2 -1 1 }}
|
|
|-
| [[370/369]]
| 4.6853
| (2×5×37)/(3<sup>2</sup>×41)
| 2.3.5.37.41 {{monzo| 1 -2 1 1 -1 }}
|
|
|-
| [[451/450]]
| 3.8429
| (11×41)/(2×(3×5)<sup>2</sup>)
| 2.3.5.11.41 {{monzo| -1 -2 -2 1 1 }}
|
|
|-
| [[493/492]]
| 3.5152
| (17×29)/(2<sup>2</sup>×3×41)
| 2.3.17.29.41 {{monzo| -2 -1 1 1 -1 }}
|
|
|-
| [[533/532]]
| 3.2511
| (13×41)/(2<sup>2</sup>×7×19)
| 2.7.13.19.41 {{monzo| -2 -1 1 -1 1 }}
|
|
|-
| [[575/574]]
| 3.0135
| (5<sup>2</sup>×23)/(2×7×41)
| 2.5.7.23.41 {{monzo| -1 2 -1 1 -1 }}
| Renatisma
|
|-
| [[616/615]]
| 2.8127
| (2<sup>3</sup>×7×11)/(3×5×41)
| 2.3.5.7.11.41 {{monzo| 3 -1 -1 1 1 -1 }}
| Ellisma
|
|-
| [[697/696]]
| 2.4856
| (17×41)/(2<sup>3</sup>×3×29)
| 2.3.17.29.41 {{monzo| -3 -1 1 -1 1 }}
|
|
|-
| [[780/779]]
| 2.2210
| (2<sup>2</sup>×3×5×13)/(19×41)
| 2.3.5.13.19.41 {{monzo| 2 1 1 1 -1 -1 }}
| Wiesentisma
|
|-
| [[820/819]]
| 2.1125
| (2<sup>2</sup>×5×41)/(3<sup>2</sup>×7×13)
| 2.3.5.7.13.41 {{monzo| 2 -2 1 -1 -1 1 }}
|
|
|-
| [[1025/1024]]
| 1.6898
| (5<sup>2</sup>×41)/2<sup>10</sup>
| 2.5.41 {{monzo| -10 2 1 }}
| Kilobytisma
|
|-
| [[1026/1025]]
| 1.6882
| (2×3<sup>3</sup>×19)/(5<sup>2</sup>×41)
| 2.3.5.19.41 {{monzo| 1 3 -2 1 -1 }}
| Ingridisma
|
|-
| [[1148/1147]]
| 1.5087
| (2<sup>2</sup>×7×41)/(31×37)
| 2.7.31.37.41 {{monzo| 2 1 -1 -1 1 }}
|
|
|-
| [[1189/1188]]
| 1.4567
| (29×41)/(2<sup>2</sup>×3<sup>3</sup>×11)
| 2.3.11.29.41 {{monzo| -2 -3 -1 1 1 }}
|
|
|-
| [[1190/1189]]
| 1.4554
| (2×5×7×17)/(29×41)
| 2.5.7.17.29.41 {{monzo| 1 1 1 1 -1 -1 }}
| Pelagisma
|
|-
| [[1312/1311]]
| 1.3200
| (2<sup>5</sup>×41)/(3×19×23)
| 2.3.19.23.41 {{monzo| 5 -1 -1 -1 1 }}
|
|
|-
| [[1353/1352]]
| 1.2800
| (3×11×41)/(2<sup>3</sup>×13<sup>2</sup>)
| 2.3.11.13.41 {{monzo| -3 1 1 -2 1 }}
|
|
|-
| [[1395/1394]]
| 1.2415
| (3<sup>2</sup>×5×31)/(2×17×41)
| 2.3.5.17.31.41 {{monzo| -1 2 1 -1 1 -1 }}
|
|
|-
| [[1518/1517]]
| 1.1408
| (2×3×11×23)/(37×41)
| 2.3.11.23.37.41 {{monzo| 1 1 1 1 -1 -1 }}
| Rovaniemisma
|
|-
| [[1600/1599]]
| 1.0824
| (2<sup>3</sup>×5)<sup>2</sup>/(3×13×41)
| 2.3.5.13.41 {{monzo| 6 -1 2 -1 -1 }}
|
| S40
|-
| [[1681/1680]]
| 1.0302
| 41<sup>2</sup>/(2<sup>4</sup>×3×5×7)
| 2.3.5.7.41 {{monzo| -4 -1 -1 -1 2 }}
|
| S41
|-
| [[1682/1681]]
| 1.0296
| (2×29<sup>2</sup>)/41<sup>2</sup>
| 2.29.41 {{monzo| 1 2 -2 }}
| Shaftesburisma
|
|-
| [[1805/1804]]
| 0.95940
| (5×19<sup>2</sup>)/(2<sup>2</sup>×11×41)
| 2.5.11.19.41 {{monzo| -2 1 -1 2 -1 }}
|
|
|-
| [[1886/1885]]
| 0.91818
| (2×23×41)/(5×13×29)
| 2.5.13.23.29.41 {{monzo| 1 -1 -1 1 -1 1 }}
|
|
|-
| [[1887/1886]]
| 0.91770
| (3×17×37)/(2×23×41)
| 2.3.17.23.37.41 {{monzo| -1 1 1 -1 1 -1 }}
|
|
|-
| [[2091/2090]]
| 0.82814
| (3×17×41)/(2×5×11×19)
| 2.3.5.11.17.19.41 {{monzo| -1 1 -1 -1 1 -1 1 }}
|
|
|-
| [[2255/2254]]
| 0.76790
| (5×11×41)/(2×7<sup>2</sup>×23)
| 2.5.7.11.23.41 {{monzo| -1 1 -2 1 -1 1 }}
| Qinghaisma
|
|-
| [[2296/2295]]
| 0.75419
| (2<sup>3</sup>×7×41)/(3<sup>3</sup>×5×17)
| 2.3.5.7.17.41 {{monzo| 3 -3 -1 1 -1 1 }}
|
|
|-
| [[2542/2541]]
| 0.68119
| (2×31×41)/(3×7×11<sup>2</sup>)
| 2.3.7.11.31.41 {{monzo| 1 -1 -1 -2 1 1 }}
|
|
|-
| [[2584/2583]]
| 0.67011
| (2<sup>3</sup>×17×19)/(3<sup>2</sup>×7×41)
| 2.3.7.17.19.41 {{monzo| 3 -2 -1 1 1 -1 }}
|
|
|-
| [[2625/2624]]
| 0.65964
| (3×5<sup>3</sup>×7)/(2<sup>6</sup>×41)
| 2.3.5.7.41 {{monzo| -6 1 3 1 -1 }}
|
|
|-
| [[2665/2664]]
| 0.64974
| (5×13×41)/(2<sup>3</sup>×3<sup>2</sup>×37)
| 2.3.5.13.37.41 {{monzo| -3 -2 1 1 -1 1 }}
|
|
|-
| [[2871/2870]]
| 0.60311
| (3<sup>2</sup>×11×29)/(2×5×7×41)
| 2.3.5.7.11.29.41 {{monzo| -1 2 -1 -1 1 1 -1 }}
| Schoberisma
|
|-
| [[3690/3689]]
| 0.46923
| (2×3<sup>2</sup>×5×41)/(7×17×31)
| 2.3.5.7.17.31.41 {{monzo| 1 2 1 -1 -1 -1 1 }}
|
|
|-
| [[3773/3772]]
| 0.45891
| (7<sup>3</sup>×11)/(2<sup>2</sup>×23×41)
| 2.7.11.23.41 {{monzo| -2 3 1 -1 -1 }}
| Smithsonianisma
|
|-
| [[4060/4059]]
| 0.42646
| (2<sup>2</sup>×5×7×29)/(3<sup>2</sup>×11×41)
| 2.3.5.7.11.29.41 {{monzo| 2 -2 1 1 -1 1 -1 }}
| Deipylosisma
|
|-
| [[4264/4263]]
| 0.40606
| (2<sup>3</sup>×13×41)/(3×7<sup>2</sup>×29)
| 2.3.7.13.29.41 {{monzo| 3 -1 -2 1 -1 1 }}
|
|
|-
| [[4551/4550]]
| 0.38045
| (3×37×41)/(2×5<sup>2</sup>×7×13)
| 2.3.5.7.13.37.41 {{monzo| -1 1 -2 -1 -1 1 1 }}
|
|
|-
| [[4675/4674]]
| 0.37036
| (5<sup>2</sup>×11×17)/(2×3×19×41)
| 2.3.5.11.17.19.41 {{monzo| -1 -1 2 1 1 -1 -1 }}
| Ohbokisma
|
|-
| [[4921/4920]]
| 0.35184
| (7×19×37)/(2<sup>3</sup>×3×5×41)
| 2.3.5.7.19.37.41 {{monzo| -3 -1 -1 1 1 1 -1 }}
| Volontisma
|
|-
| [[4961/4960]]
| 0.34900
| (11<sup>2</sup>×41)/(2<sup>5</sup>×5×31)
| 2.5.11.31.41 {{monzo| -5 -1 2 -1 1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 43-limit (incomplete)
| [[5084/5083]]
| 0.34056
| (2<sup>2</sup>×31×41)/(13×17×23)
| 2.13.17.23.31.41 {{monzo| 2 -1 -1 -1 1 1 }}
|
|
|-
| [[5577/5576]]
| 0.31045
| (3×11×13<sup>2</sup>)/(2<sup>3</sup>×17×41)
| 2.3.11.13.17.41 {{monzo| -3 1 1 2 -1 -1 }}
| Priestlisma
|
|-
| [[6069/6068]]
| 0.28528
| (3×7×17<sup>2</sup>)/(2<sup>2</sup>×37×41)
| 2.3.7.17.37.41 {{monzo| -2 1 1 2 -1 -1 }}
| Cevolanisma
|
|-
| [[6273/6272]]
| 0.27600
| (3<sup>2</sup>×17×41)/(2<sup>7</sup>×7<sup>2</sup>)
| 2.3.7.17.41 {{monzo| -7 2 -2 1 1 }}
|
|
|-
| [[6561/6560]]
| 0.26389
| 3<sup>8</sup>/(2<sup>5</sup>×5×41)
| 2.3.5.41 {{monzo| -5 8 -1 -1 }}
|
| S81
|-
| [[6601/6600]]
| 0.26229
| (7×23×41)/(2<sup>3</sup>×3×5<sup>2</sup>×11)
| 2.3.5.7.11.23.41 {{monzo| -3 -1 -2 1 -1 1 1 }}
|
|
|-
| [[6930/6929]]
| 0.24984
| (2×3<sup>2</sup>×5×7×11)/(13<sup>2</sup>×41)
| 2.3.5.7.11.13.41 {{monzo| 1 2 1 1 1 -2 -1 }}
| Bedanisma
|
|-
| [[7176/7175]]
| 0.24127
| (2<sup>3</sup>×3×13×23)/(5<sup>2</sup>×7×41)
| 2.3.5.7.13.23.41 {{monzo| 3 1 -2 -1 1 1 -1 }}
| Kunijisma
|
|-
| [[7216/7215]]
| 0.23993
| (2<sup>4</sup>×11×41)/(3×5×13×37)
| 2.3.5.11.13.37.41 {{monzo| 4 -1 -1 1 -1 -1 1 }}
|
|
|-
| [[7750/7749]]
| 0.22340
| (2×5<sup>3</sup>×31)/(3<sup>3</sup>×7×41)
| 2.3.5.7.31.41 {{monzo| 1 -3 3 -1 1 -1 }}
|
|
|-
| [[8569/8568]]
| 0.20205
| (11×19×41)/(2<sup>3</sup>×3<sup>2</sup>×7×17)
| 2.3.7.11.17.19.41 {{monzo| -3 -2 -1 1 -1 1 1 }}
| Mamelisma
|
|-
| [[8856/8855]]
| 0.19550
| ((2×3)<sup>3</sup>×41)/(5×7×11×23)
| 2.3.5.7.11.23.41 {{monzo| 3 3 -1 -1 -1 -1 1 }}
|
|
|-
| [[9472/9471]]
| 0.18278
| (2<sup>8</sup>×37)/(3×7×11×41)
| 2.3.7.11.37.41 {{monzo| 8 -1 -1 -1 1 -1 }}
| Brugesisma
|
|-
| 10045/10044
| 0.17236
| (5×7<sup>2</sup>×41)/(2<sup>2</sup>×3<sup>4</sup>×31)
| 2.3.5.7.31.41 {{monzo| -2 -4 1 2 -1 1 }}
|
|
|-
| [[10374/10373]]
| 0.16689
| (2×3×7×13×19)/(11×23×41)
| 2.3.7.11.13.19.23.41 {{monzo| 1 1 1 -1 1 1 -1 -1}}
| Etampesisma
|
|-
| 10660/10659
| 0.16241
| (2<sup>2</sup>×5×13×41)/(3×11×17×19)
| 2.3.5.11.13.17.19.41 {{monzo| 2 -1 1 -1 1 -1 -1 1 }}
|
|
|-
| [[11440/11439]]
| 0.15134
| (2<sup>4</sup>×5×11×13)/(3<sup>2</sup>×31×41)
| 2.3.5.11.13.31.41 {{monzo| 4 -2 1 1 1 -1 -1 }}
| Massironisma
|
|-
| 13776/13775
| 0.12567
| (2<sup>4</sup>×3×7×41)/(5<sup>2</sup>×19×29)
| 2.3.5.7.19.29.41 {{monzo| 4 1 -2 1 -1 -1 1 }}
|
|
|-
| 14145/14144
| 0.12240
| (3×5×23×41)/(2<sup>6</sup>×13×17)
| 2.3.5.13.17.23.41 {{monzo| -6 1 1 -1 -1 1 1 }}
|
|
|-
| 14801/14800
| 0.11697
| (19<sup>2</sup>×41)/(2<sup>4</sup>×5<sup>2</sup>×37)
| 2.5.19.37.41 {{monzo| -4 -2 2 -1 1 }}
|
|
|-
| [[15376/15375]]
| 0.11260
| (2<sup>2</sup>×31)<sup>2</sup>/(3×5<sup>3</sup>×41)
| 2.3.5.31.41 {{monzo| 4 -1 -3 2 -1 }}
| Martakisma
| S124
|-
| 15457/15456
| 0.11201
| (13×29×41)/(2<sup>5</sup>×3×7×23)
| 2.3.7.13.23.29.41 {{monzo| -5 -1 -1 1 -1 1 1 }}
|
|
|-
| 16400/16399
| 0.10557
| (2<sup>4</sup>×5<sup>2</sup>×41)/(23<sup>2</sup>×31)
| 2.5.23.31.41 {{monzo| 4 2 -2 -1 1 }}
|
|
|-
| 16524/16523
| 0.10477
| (2<sup>2</sup>×3<sup>5</sup>×17)/(13×31×41)
| 2.3.13.17.31.41 {{monzo| 2 5 -1 1 -1 -1 }}
|
|
|-
| 16606/16605
| 0.10426
| (2×19<sup>2</sup>×23)/(3<sup>4</sup>×5×41)
| 2.3.5.19.23.41 {{monzo| 1 -4 -1 2 1 -1 }}
|
|
|-
| 17425/17424
| 0.099356
| (5<sup>2</sup>×17×41)/(2<sup>2</sup>×3×11)<sup>2</sup>
| 2.3.5.11.17.41 {{monzo| -4 -2 2 -2 1 1 }}
|
|
|-
| [[17836/17835]]
| 0.097067
| (2<sup>2</sup>×7<sup>3</sup>×13)/(3×5×29×41)
| 2.3.5.7.13.29.41 {{monzo| 2 -1 -1 3 1 -1 -1 }}
| Canupisma
|
|-
| 17918/17917
| 0.096623
| (2×17<sup>2</sup>×31)/(19×23×41)
| 2.17.19.23.31.41 {{monzo| 1 2 -1 -1 1 -1 }}
|
|
|-
| 19721/19720
| 0.087789
| (13×37×41)/(2<sup>3</sup>×5×17×29)
| 2.5.13.17.29.37.41 {{monzo| -3 -1 1 -1 -1 1 1 }}
|
|
|-
| 19845/19844
| 0.087240
| (3<sup>4</sup>×5×7<sup>2</sup>)/((2×11)<sup>2</sup>×41)
| 2.3.5.7.11.41 {{monzo| -2 4 1 2 -2 -1 }}
|
|
|-
| [[76384/76383]]
| 0.022665
| (2<sup>5</sup>×7×11×31)/(3<sup>4</sup>×23×41)
| 2.3.7.11.23.31.41 {{monzo| 5 -4 1 1 -1 1 -1 }}
| Vernonisma
|
|-
| [[Mebisma|1048576/1048575]]
| 0.0016510
| 2<sup>20</sup>/(3×5<sup>2</sup>×11×31×41)
| 2.3.5.11.31.41 {{monzo| 20 -1 -2 -1 -1 -1 }}
| Mebisma
| S1024
|}
 
=== 43-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[43/42]]
| [[43/42]]
| 40.737
| 40.737
| 43/(2*3*7)
| 43/(2×3×7)
|  
| 2.3.7.43 {{monzo| -1 -1 -1 1 }}
| Large quadracesimotertial 1/5-tone
|  
|  
|-
|-
| [[44/43]]
| [[44/43]]
| 39.800
| 39.800
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*11)/43
| (2<sup>2</sup>×11)/43
|  
| 2.11.43 {{monzo| 2 1 -1 }}
| Small quadracesimotertial 1/5-tone
|  
|  
|-
|-
| [[86/85]]
| [[86/85]]
| 20.249
| 20.249
| (2*43)/(5*17)
| (2×43)/(5×17)
|  
| 2.5.17.43 {{monzo| 1 -1 -1 1 }}
| Large quadracesimotertial 1/10-tone
|  
|  
|-
|-
| [[87/86]]
| [[87/86]]
| 20.014
| 20.014
| (3*29)/(2*43)
| (3×29)/(2×43)
| 2.3.29.43 {{monzo| -1 1 1 -1 }}
| Small quadracesimotertial 1/10-tone
|
|-
| [[129/128]]
| 13.473
| (3×43)/2<sup>7</sup>
| 2.3.43 {{monzo| -7 1 1 }}
| 43rd-partial chroma
|
|-
| [[130/129]]
| 13.369
| (2×5×13)/(3×43)
| 2.3.5.13.43 {{monzo| 1 -1 1 1 -1 }}
|
|
|-
| [[172/171]]
| 10.095
| (2<sup>2</sup>×43)/(3<sup>2</sup>×19)
| 2.3.19.43 {{monzo| 2 -2 -1 1 }}
|
|
|-
| [[216/215]]
| 8.0336
| (2×3)<sup>3</sup>/(5×43)
| 2.3.5.43 {{monzo| 3 3 -1 -1 }}
|
|
|-
| [[259/258]]
| 6.6972
| (7×37)/(2×3×43)
| 2.3.7.37.43 {{monzo| -1 -1 1 1 -1 }}
|
|
|-
| [[301/300]]
| 5.7612
| (7×43)/((2×5)<sup>2</sup>×3)
| 2.3.5.7.43 {{monzo| -2 -1 -2 1 1 }}
|
|
|-
| [[344/343]]
| 5.0400
| (2<sup>3</sup>×43)/7<sup>3</sup>
| 2.7.43 {{monzo| 3 -3 1 }}
|
|
|-
| [[345/344]]
| 5.0254
| (3×5×23)/(2<sup>3</sup>×43)
| 2.3.5.23.43 {{monzo| -3 1 1 1 -1 }}
|
|
|-
| [[430/429]]
| 4.0308
| (2×5×43)/(3×11×13)
| 2.3.5.11.13.43 {{monzo| 1 -1 1 -1 -1 1 }}
|
|
|-
| [[559/558]]
| 3.0998
| (13×43)/(2×3<sup>2</sup>×31)
| 2.3.13.31.43 {{monzo| -1 -2 1 -1 1 }}
|
|
|-
| [[560/559]]
| 3.0943
| (2<sup>4</sup>×5×7)/(13×43)
| 2.5.7.13.43 {{monzo| 4 1 1 -1 -1 }}
|
|
|-
| [[645/644]]
| 2.6862
| (3×5×43)/(2<sup>2</sup>×7×23)
| 2.3.5.7.23.43 {{monzo| -2 1 1 -1 -1 1 }}
|
|
|-
| [[646/645]]
| 2.6820
| (2×17×19)/(3×5×43)
| 2.3.5.17.19.43 {{monzo| 1 -1 -1 1 1 -1 }}
| Kastalisma
|
|-
| [[775/774]]
| 2.2353
| (5<sup>2</sup>×31)/(2×3<sup>2</sup>×43)
| 2.3.5.31.43 {{monzo| -1 -2 2 1 -1 }}
|
|
|-
| [[817/816]]
| 2.1203
| (19×43)/(2<sup>4</sup>×3×17)
| 2.3.17.19.43 {{monzo| -4 -1 -1 1 1 }}
|
|
|-
| [[861/860]]
| 2.0119
| (3×7×41)/(2<sup>2</sup>×5×43)
| 2.3.5.7.41.43 {{monzo| -2 1 -1 1 1 -1 }}
|
|
|-
| [[903/902]]
| 1.9183
| (3×7×43)/(2×11×41)
| 2.3.7.11.41.43 {{monzo| -1 1 1 -1 -1 1 }}
|
|
|-
| [[946/945]]
| 1.8310
| (2×11×43)/(3<sup>3</sup>×5×7)
| 2.3.5.7.11.43 {{monzo| 1 -3 -1 -1 1 1 }}
|
|
|-
| [[989/988]]
| 1.7514
| (23×43)/(2<sup>2</sup>×13×19)
| 2.13.19.23.43 {{monzo| -2 -1 -1 1 1 }}
|
|
|-
| [[990/989]]
| 1.7496
| (2×3<sup>2</sup>×5×11)/(23×43)
| 2.3.5.11.23.43 {{monzo| 1 2 1 1 -1 -1 }}
| Yerkesisma
|
|-
| [[1161/1160]]
| 1.4918
| (3<sup>3</sup>×43)/(2<sup>3</sup>×5×29)
| 2.3.5.29.43 {{monzo| -3 3 -1 -1 1 }}
|
|
|-
| [[1248/1247]]
| 1.3878
| (2<sup>5</sup>×3×13)/(29×43)
| 2.3.13.29.43 {{monzo| 5 1 1 -1 -1 }}
|
|
|-
| [[1333/1332]]
| 1.2992
| (31×43)/((2×3)<sup>2</sup>×37)
| 2.3.31.37.43 {{monzo| -2 -2 1 -1 1 }}
| Cevenolisma
|
|-
| [[1334/1333]]
| 1.2983
| (2×23×29)/(31×43)
| 2.23.29.31.43 {{monzo| 1 1 1 -1 -1 }}
|
|
|-
| [[1376/1375]]
| 1.2586
| (2<sup>5</sup>×43)/(5<sup>3</sup>×11)
| 2.5.11.43 {{monzo| 5 -3 -1 1 }}
|
|
|-
| [[1377/1376]]
| 1.2577
| (3<sup>4</sup>×17)/(2<sup>5</sup>×43)
| 2.3.17.43 {{monzo| -5 4 1 -1 }}
| Roberbauxisma
|
|-
| [[1463/1462]]
| 1.1838
| (7×11×19)/(2×17×43)
| 2.7.11.17.19.43 {{monzo| -1 1 1 -1 1 -1 }}
| Nordenmarkisma
|
|-
| [[1548/1547]]
| 1.1187
| (2<sup>2</sup>×3<sup>2</sup>×43)/(7×13×17)
| 2.3.7.13.17.43 {{monzo| 2 2 -1 -1 -1 1 }}
|
|
|-
| [[1764/1763]]
| 0.98170
| (2×3×7)<sup>2</sup>/(41×43)
| 2.3.7.41.43 {{monzo| 2 2 2 -1 -1 }}
|
| S42
|-
| [[1806/1805]]
| 0.95887
| (2×3×7×43)/(5×19<sup>2</sup>)
| 2.3.5.7.19.43 {{monzo| 1 1 -1 1 -2 1 }}
|
|
|-
| [[1849/1848]]
| 0.93656
| 43<sup>2</sup>/(2<sup>3</sup>×3×7×11)
| 2.3.7.11.43 {{monzo| -3 -1 -1 -1 2 }}
|
| S43
|-
| [[1850/1849]]
| 0.93606
| (2×5<sup>2</sup>×37)/43<sup>2</sup>
| 2.5.37.43 {{monzo| 1 2 1 -2 }}
|
|
|-
| [[1936/1935]]
| 0.89446
| (2<sup>2</sup>×11)<sup>2</sup>/(3<sup>2</sup>×5×43)
| 2.3.5.11.43 {{monzo| 4 -2 -1 2 -1 }}
|
| S44
|-
| [[2925/2924]]
| 0.59198
| (3<sup>2</sup>×5<sup>2</sup>×13)/(2<sup>2</sup>×17×43)
| 2.3.5.13.17.43 {{monzo| -2 2 2 1 -1 -1 }}
| Beattisma
|
|-
| [[3312/3311]]
| 0.52279
| (2<sup>4</sup>×3<sup>2</sup>×23)/(7×11×43)
| 2.3.7.11.23.43 {{monzo| 4 2 -1 -1 1 -1 }}
| Pedersenisma
|
|-
| [[4000/3999]]
| 0.43286
| (2<sup>5</sup>×5<sup>3</sup>)/(3×31×43)
| 2.3.5.31.43 {{monzo| 5 -1 3 -1 -1 }}
| Hipparchusisma
|
|-
| [[4301/4300]]
| 0.40257
| (11×17×23)/(2<sup>2</sup>×5<sup>2</sup>×43)
| 2.5.11.17.23.43 {{monzo| -2 -2 1 1 1 -1 }}
| Boydenisma
|
|-
| [[4774/4773]]
| 0.36268
| (2×7×11×31)/(3×37×43)
| 2.3.7.11.31.37.43 {{monzo| 1 -1 1 1 1 -1 -1 }}
| Hobetsisma
|
|-
| [[5720/5719]]
| 0.30269
| (2<sup>3</sup>×5×11×13)/(7×19×43)
| 2.5.7.11.13.19.43 {{monzo| 3 1 -1 1 1 -1 -1 }}
| Halweaverisma
|
|-
| [[7225/7224]]
| 0.23963
| (5×17)<sup>2</sup>/(2<sup>3</sup>×3×7×43)
| 2.3.5.7.17.43 {{monzo| -3 -1 2 -1 2 -1 }}
| Huntressisma
| S85
|-
| [[7956/7955]]
| 0.21761
| (2<sup>2</sup>×3<sup>2</sup>×13×17)/(5×37×43)
| 2.3.5.13.17.37.43 {{monzo| 2 2 -1 1 1 -1 -1 }}
| Yajinisma
|
|-
| [[9504/9503]]
| 0.18217
| (2<sup>5</sup>×3<sup>3</sup>×11)/(13×17×43)
| 2.3.11.13.17.43 {{monzo| 5 3 1 -1 -1 -1 }}
| Lionelisma
|
|-
| [[9633/9632]]
| 0.17973
| (3×13<sup>2</sup>×19)/(2<sup>5</sup>×7×43)
| 2.3.7.13.19.43 {{monzo| -5 1 -1 2 1 -1 }}
| Coturisma
|
|-
| [[10450/10449]]
| 0.16568
| (2×5<sup>2</sup>×11×19)/(3<sup>5</sup>×43)
| 2.3.5.11.19.43 {{monzo| 1 -5 2 1 1 -1}}
| Girardisma
|
|-
| [[10880/10879]]
| 0.15912
| (2<sup>7</sup>×5×17)/(11×23×43)
| 2.5.11.17.23.43 {{monzo| 7 1 -1 1 -1 -1 }}
| Kaguyisma
|  
|  
|-
| [[17545/17544]]
| 0.098677
| (5×11<sup>2</sup>×29)/(2<sup>3</sup>×3×17×43)
| 2.3.5.11.17.29.43 {{monzo| -3 -1 1 2 -1 1 -1 }}
| Manheimisma
|  
|  
|-
|-
! colspan="5" | 47-limit (incomplete)
| [[27048/27047]]
| 0.064007
| (2<sup>3</sup>×3×7<sup>2</sup>×23)/(17×37×43)
| 2.3.7.17.23.37.43 {{monzo| 3 1 2 -1 1 -1 -1 }}
| Jangongisma
|
|-
| [[29241/29240]]
| 0.059207
| (3<sup>2</sup>×19)<sup>2</sup>/(2<sup>3</sup>×5×17×43)
| 2.3.5.17.19.43 {{monzo| -3 4 -1 -1 2 -1 }}
| Locquirecisma
| S171
|}
 
=== 47-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[47/46]]
| [[47/46]]
| 37.232
| 37.232
| 47/(2*23)
| 47/(2×23)
| 2.23.47 {{monzo| -1 -1 1 }}
|  
|  
|  
|  
Line 1,009: Line 2,774:
| [[48/47]]
| [[48/47]]
| 36.448
| 36.448
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*3)/47
| (2<sup>4</sup>×3)/47
|  
| 2.3.47 {{monzo| 4 1 -1 }}
| 47th-partial chroma
|  
|  
|-
|-
| [[94/93]]
| [[94/93]]
| 18.516
| 18.516
| (2*47)/(3*31)
| (2×47)/(3×31)
| 2.3.31.47 {{monzo| 1 -1 -1 1 }}
|  
|  
|  
|  
Line 1,021: Line 2,788:
| [[95/94]]
| [[95/94]]
| 18.320
| 18.320
| (5*19)/(2*47)
| (5×19)/(2×47)
| 2.5.19.47 {{monzo| -1 1 1 -1 }}
|
|
|-
| [[141/140]]
| 12.322
| (3×47)/(2<sup>2</sup>×5×7)
| 2.3.5.7.47 {{monzo| -2 1 -1 -1 1 }}
|
|
|-
| [[188/187]]
| 9.2333
| (2<sup>2</sup>×47)/(11×17)
| 2.11.37.47 {{monzo| 2 -1 -1 1 }}
|
|
|-
| [[189/188]]
| 9.1843
| (3<sup>3</sup>×7)/(2<sup>2</sup>×47)
| 2.3.7.47 {{monzo| -2 3 1 -1 }}
|
|
|-
| [[235/234]]
| 7.3827
| (5×47)/(2×3<sup>2</sup>×13)
| 2.3.5.13.47 {{monzo| -1 -2 1 -1 1 }}
|
|
|-
| [[329/328]]
| 5.2701
| (7×47)/(2<sup>3</sup>×41)
| 2.7.41.47 {{monzo| -3 1 -1 1 }}
|
|
|-
| [[330/329]]
| 5.2541
| (2×3×5×11)/(7×47)
| 2.3.5.7.11.47 {{monzo| 1 1 1 -1 1 -1 }}
|
|
|-
| [[376/375]]
| 4.6105
| (2<sup>3</sup>×47)/(3×5<sup>3</sup>)
| 2.3.5.47 {{monzo| 3 -1 -3 1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 53-limit (incomplete)
| [[377/376]]
| 4.5982
| (13×29)/(2<sup>3</sup>×47)
| 2.13.29.47 {{monzo| -3 1 1 -1 }}
|
|
|-
| [[1176/1175]]
| 1.4728
| (2<sup>3</sup>×3×7<sup>2</sup>)/(5<sup>2</sup>×47)
| 2.3.5.7.47 {{monzo| 3 1 -2 2 -1 }}
| Lucidorisma
|
|-
| [[2116/2115]]
| 0.81836
| (2×23)<sup>2</sup>/(3<sup>2</sup>×5×47)
| 2.3.5.23.47 {{monzo| 2 -2 -1 2 -1 }}
|
| S46
|-
| [[2209/2208]]
| 0.78390
| 47<sup>2</sup>/(2<sup>5</sup>×3×5)
| 2.3.23.47 {{monzo| -5 -1 -1 2 }}
|
| S47
|-
| [[2304/2303]]
| 0.75157
| (2<sup>4</sup>×3)<sup>2</sup>/(7<sup>2</sup>×47)
| 2.3.7.47 {{monzo| 8 2 -2 -1 }}
|
| S48
|}
 
=== 53-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[53/52]]
| [[53/52]]
| 32.977
| 32.977
| 53/(2<span style="font-size: 70%; vertical-align: super;">2</span>*13)
| 53/(2<sup>2</sup>×13)
| 2.13.53 {{monzo| -2 -1 1 }}
|  
|  
|  
|  
Line 1,035: Line 2,896:
| [[54/53]]
| [[54/53]]
| 32.360
| 32.360
| (2*3<span style="font-size: 70%; vertical-align: super;">3</span>)/53
| (2×3<sup>3</sup>)/53
| 2.3.53 {{monzo| 1 3 -1 }}
|
|
|-
| [[106/105]]
| 16.410
| (2×53)/(3×5×7)
| 2.3.5.7.53 {{monzo| 1 -1 -1 -1 1 }}
|
|
|-
| [[160/159]]
| 10.854
| (2<sup>5</sup>×5)/(3×53)
| 2.3.5.53 {{monzo| 5 -1 1 -1 }}
|
|
|-
| [[265/264]]
| 6.5453
| (5×53)/(2<sup>3</sup>×3×11)
| 2.3.5.11.53 {{monzo| -3 -1 1 -1 1 }}
|
|
|-
| [[266/265]]
| 6.5207
| (2×7×19)/(5×53)
| 2.5.7.19.53 {{monzo| 1 -1 1 1 -1 }}
|
|
|-
| [[319/318]]
| 5.4356
| (11×29)/(2×3×53)
| 2.3.11.29.53 {{monzo| -1 -1 1 1 -1 }}
|
|
|-
| [[371/370]]
| 4.6727
| (7×53)/(2×5×37)
| 2.5.7.37.53 {{monzo| -1 -1 1 -1 1 }}
|
|
|-
| [[372/371]]
| 4.6601
| (2<sup>2</sup>×3×31)/(7×53)
| 2.3.7.31.53 {{monzo| 2 1 -1 1 -1 }}
|
|
|-
| [[424/423]]
| 4.0879
| (2<sup>3</sup>×53)/(3<sup>2</sup>×47)
| 2.3.47.53 {{monzo| 3 -2 -1 1 }}
|
|
|-
| [[425/424]]
| 4.0783
| (5<sup>2</sup>×17)/(2<sup>3</sup>×53)
| 2.5.17.53 {{monzo| -3 2 1 -1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 59-limit (incomplete)
| [[477/476]]
| 3.6332
| (3<sup>2</sup>×53)/(2<sup>2</sup>×7×17)
| 2.3.7.17.53 {{monzo| -2 2 -1 -1 1 }}
|
|
|-
| [[2809/2808]]
| 0.61643
| 53<sup>2</sup>/(2<sup>3</sup>×3<sup>3</sup>×13)
| 2.3.13.53 {{monzo| -3 -3 -1 2 }}
|
| S53
|-
| [[4081/4080]]
| 0.42427
| (7×11×53)/(2<sup>4</sup>×3×5×17)
| 2.3.5.7.11.17.53 {{monzo| -4 -1 -1 1 1 -1 1 }}
|
|
|}
 
=== 59-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[59/58]]
| [[59/58]]
| 29.594
| 29.594
| 59/(2*29)
| 59/(2×29)
| 2.29.59 {{monzo| -1 -1 1 }}
|  
|  
|  
|  
Line 1,049: Line 3,004:
| [[60/59]]
| [[60/59]]
| 29.097
| 29.097
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3*5)/59
| (2<sup>2</sup>×3×5)/59
| 2.3.5.59 {{monzo| 2 1 1 -1 }}
|
|
|-
| [[118/117]]
| 14.734
| (2×59)/(3<sup>2</sup>×13)
| 2.3.13.59 {{monzo| 1 -2 -1 1 }}
|
|
|-
| [[119/118]]
| 14.610
| (7×17)/(2×59)
| 2.7.17.59 {{monzo| -1 1 1 -1 }}
|
|
|-
| [[177/176]]
| 9.8087
| (3×59)/(2<sup>4</sup>×11)
| 2.3.11.59 {{monzo| -4 1 -1 1 }}
|
|
|-
| [[236/235]]
| 7.3513
| (2<sup>2</sup>×59)/(5×47)
| 2.5.47.59 {{monzo| 2 -1 -1 1 }}
|
|
|-
| [[295/294]]
| 5.8786
| (5×59)/(2×3×7<sup>2</sup>)
| 2.3.5.7.59 {{monzo| -1 -1 1 -2 1 }}
|
|
|-
| [[296/295]]
| 5.8587
| (2<sup>3</sup>×37)/(5×59)
| 2.5.37.59 {{monzo| 3 -1 1 -1 }}
|
|
|-
| [[414/413]]
| 4.1868
| (2×3<sup>2</sup>×23)/(7×59)
| 2.3.7.23.59 {{monzo| 1 2 -1 1 -1 }}
|
|
|-
| [[473/472]]
| 3.6640
| (11×43)/(2<sup>3</sup>×59)
| 2.11.43.59 {{monzo| -3 1 1 -1 }}
|
|
|-
| [[1121/1120]]
| 1.5451
| (19×59)/(2<sup>5</sup>×5×7)
| 2.5.7.19.59 {{monzo| -5 -1 -1 1 1 }}
|
|
|-
| [[1122/1121]]
| 1.5437
| (2×3×11×17)/(19×59)
| 2.3.11.17.19.59 {{monzo| 1 1 1 1 -1 -1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 61-limit (incomplete)
| [[3481/3480]]
| 0.49741
| 59<sup>2</sup>/(2<sup>3</sup>×3×5×29)
| 2.3.5.29.59 {{monzo| -3 -1 -1 -1 2}}
|
| S59
|}
 
=== 61-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[61/60]]
| [[61/60]]
| 28.616
| 28.616
| 61/(2<span style="font-size: 70%; vertical-align: super;">2</span>*3*5)
| 61/(2<sup>2</sup>×3×5)
| 2.3.5.61 {{monzo| -2 -1 -1 1 }}
|  
|  
|  
|  
Line 1,063: Line 3,105:
| [[62/61]]
| [[62/61]]
| 28.151
| 28.151
| (2*31)/61
| (2×31)/61
| 2.31.61 {{monzo| 1 1 -1 }}
|
|
|-
| [[122/121]]
| 14.249
| (2×61)/(11<sup>2</sup>)
| 2.11.61 {{monzo| 1 -2 1 }}
|
|
|-
| [[123/122]]
| 14.133
| (3×41)/(2×61)
| 2.3.41.61 {{monzo| -1 1 1 -1 }}
|
|
|-
| [[183/182]]
| 9.4862
| (3×61)/(2×7×13)
| 2.3.7.13.61 {{monzo| -1 1 -1 -1 1 }}
|
|
|-
| [[184/183]]
| 9.4345
| (2<sup>3</sup>×23)/(3×61)
| 2.3.23.61 {{monzo| 3 -1 1 -1 }}
|
|
|-
| [[244/243]]
| 7.1098
| (2<sup>2</sup>×61)/3<sup>5</sup>
| 2.3.61 {{monzo| 2 -5 1 }}
|
|
|-
| [[245/244]]
| 7.0807
| (5×7<sup>2</sup>)/(2<sup>2</sup>×61)
| 2.5.7.61 {{monzo| -2 1 2 -1 }}
|
|
|-
| [[305/304]]
| 5.6855
| (5×61)/(2<sup>4</sup>×19)
| 2.5.19.61 {{monzo| -4 1 -1 1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 67-limit (incomplete)
| [[306/305]]
| 5.6669
| (2×3<sup>2</sup>×17)/(5×61)
| 2.3.5.17.61 {{monzo| 1 2 -1 1 -1 }}
|
|
|-
| [[672/671]]
| 2.5782
| (2<sup>5</sup>×3×7)/(11×61)
| 2.3.7.11.61 {{monzo| 5 1 1 -1 -1 }}
|
|
|-
| [[1404/1403]]
| 1.2335
| (2<sup>2</sup>×3<sup>3</sup>×13)/(23×61)
| 2.3.13.23.61 {{monzo| 2 3 1 -1 -1 }}
|
|
|-
| [[3721/3720]]
| 0.46532
| 61<sup>2</sup>/(2<sup>3</sup>×3×5×31)
| 2.3.5.31.61 {{monzo| -3 -1 -1 -1 2 }}
|
| S61
|}
 
=== 67-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[67/66]]
| [[67/66]]
| 26.034
| 26.034
| 67/(2*3*11)
| 67/(2×3×11)
| 2.3.11.67 {{monzo| -1 -1 -1 1 }}
|  
|  
|  
|  
Line 1,077: Line 3,206:
| [[68/67]]
| [[68/67]]
| 25.648
| 25.648
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*17)/67
| (2<sup>2</sup>×17)/67
| 2.17.67 {{monzo| 2 1 -1 }}
|
|
|-
| [[134/133]]
| 12.968
| (2×67)/(7×19)
| 2.7.19.67 {{monzo| 1 -1 -1 1 }}
|
|
|-
| [[135/134]]
| 12.872
| (3<sup>3</sup>×5)/(2×67)
| 2.3.5.67 {{monzo| -1 3 1 -1 }}
|
|
|-
| [[201/200]]
| 8.6346
| (3×67)/(2<sup>3</sup>×5<sup>2</sup>)
| 2.3.5.67 {{monzo| -3 1 -2 1 }}
|
|
|-
| [[336/335]]
| 5.1602
| (2<sup>4</sup>×3×7)/(5×67)
| 2.3.5.7.67 {{monzo| 4 1 -1 1 -1 }}
|
|
|-
| [[671/670]]
| 2.5820
| (11×61)/(2×5×67)
| 2.5.11.61.67 {{monzo| -1 -1 1 1 -1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 71-limit (incomplete)
| [[4489/4488]]
| 0.38570
| 67<sup>2</sup>/(2<sup>3</sup>×3×11×17)
| 2.3.11.17.67 {{monzo| -3 -1 -1 -1 2 }}
|
| S67
|}
 
=== 71-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[71/70]]
| [[71/70]]
| 24.557
| 24.557
| 71/(2*5*7)
| 71/(2×5×7)
| 2.5.7.71 {{monzo| -1 -1 -1 1 }}
|  
|  
|  
|  
Line 1,091: Line 3,272:
| [[72/71]]
| [[72/71]]
| 24.213
| 24.213
| (2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)/71
| (2<sup>3</sup>×3<sup>2</sup>)/71
| 2.3.71 {{monzo| 3 2 -1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 73-limit (incomplete)
| [[5041/5040]]
| 0.34346
| 71<sup>2</sup>/(2<sup>4</sup>×3<sup>2</sup>×5×7)
| 2.3.5.7.71 {{monzo| -4 -2 -1 -1 2 }}
| Third brown pair comma
| S71
|-
| <font style="font-size:0.85em">[[Borcherdsma|160561400000 / 160561399999]]</font>
| 1.0783×10<sup>-8</sup>
| (2<sup>6</sup>×5<sup>5</sup>×19×29×31×47) / (7×11<sup>2</sup>×13×59<sup>3</sup>×71)
| 2.5.7.11.13.19.29.31.47.59.71 {{monzo| 6 5 -1 -2 -1 1 1 1 1 -3 -1 }}
| Borcherdsma
|
|}
 
=== 73-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[73/72]]
| [[73/72]]
| 23.879
| 23.879
| 73/(2<span style="font-size: 70%; vertical-align: super;">3</span>*3<span style="font-size: 70%; vertical-align: super;">2</span>)
| 73/(2<sup>3</sup>×3<sup>2</sup>)
| 2.3.73 {{monzo| -3 -2 1 }}
|  
|  
|  
|  
Line 1,105: Line 3,310:
| [[74/73]]
| [[74/73]]
| 23.555
| 23.555
| (2*37)/73
| (2×37)/73
| 2.37.73 {{monzo| 1 1 -1 }}
|  
|  
|  
|  
|-
|-
! colspan="5" | 79-limit (incomplete)
| [[366/365]]
| 4.737
| (2×3×61)/(5×73)
| 2.3.5.61.73 [1 1 -1 1 -1⟩
| Sidereal comma
|
|}
 
=== 79-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[79/78]]
| [[79/78]]
| 22.054
| 22.054
| 79/(2*3*13)
| 79/(2×3×13)
| 2.3.13.79 {{monzo| -1 -1 -1 1 }}
|  
|  
|  
|  
Line 1,119: Line 3,341:
| [[80/79]]
| [[80/79]]
| 21.777
| 21.777
| (2<span style="font-size: 70%; vertical-align: super;">4</span>*5)/79
| (2<sup>4</sup>×5)/79
| 2.5.79 {{monzo| 4 1 -1 }}
|  
|  
|  
|  
|-
|}
! colspan="5" | 83-limit (incomplete)
 
=== 83-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[83/82]]
| [[83/82]]
| 20.985
| 20.985
| 83/(2*41)
| 83/(2×41)
| 2.41.83 {{monzo| -1 -1 1 }}
|  
|  
|  
|  
Line 1,133: Line 3,365:
| [[84/83]]
| [[84/83]]
| 20.734
| 20.734
| (2<span style="font-size: 70%; vertical-align: super;">2</span>*3*7)/83
| (2<sup>2</sup>×3×7)/83
| 2.3.7.83 {{monzo| 2 1 1 -1 }}
|  
|  
|  
|  
|-
|}
! colspan="5" | 89-limit (incomplete)
 
=== 89-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[89/88]]
| [[89/88]]
| 19.562
| 19.562
| 89/(2<span style="font-size: 70%; vertical-align: super;">3</span>*11)
| 89/(2<sup>3</sup>×11)
|  
| 2.11.89 {{monzo| -3 -1 1 }}
| Tailwind comma{{idiosyncratic}}
|  
|  
|-
|-
| [[90/89]]
| [[90/89]]
| 19.344
| 19.344
| (2*3<span style="font-size: 70%; vertical-align: super;">2</span>*5)/89
| (2×3<sup>2</sup>×5)/89
| 2.3.5.89 {{monzo| 1 2 1 -1 }}
|  
|  
|  
|  
|-
|}
! colspan="5" | 97-limit (incomplete)
 
=== 97-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[97/96]]
| [[97/96]]
| 17.940
| 17.940
| 97/(2<span style="font-size: 70%; vertical-align: super;">5</span>*3)
| 97/(2<sup>5</sup>×3)
| 2.3.97 {{monzo| -5 -1 1 }}
|  
|  
|  
|  
Line 1,161: Line 3,413:
| [[98/97]]
| [[98/97]]
| 17.756
| 17.756
| (2*7<span style="font-size: 70%; vertical-align: super;">2</span>)/97
| (2×7<sup>2</sup>)/97
| 2.7.97 {{monzo| 1 2 -1 }}
|  
|  
|  
|  
|-
|}
! colspan="5" | 101-limit (incomplete)
 
=== 101-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
|-
| [[101/100]]
| [[101/100]]
| 17.226
| 17.226
| 101/(2<span style="font-size: 70%; vertical-align: super;">2</span>*5<span style="font-size: 70%; vertical-align: super;">2</span>)
| 101/(2×5)<sup>2</sup>
| 2.5.101 {{monzo| -2 -2 1 }}
|  
|  
|  
|  
Line 1,175: Line 3,437:
| [[102/101]]
| [[102/101]]
| 17.057
| 17.057
| (2*3*17)/101
| (2×3×17)/101
| 2.3.17.101 {{monzo| 1 1 1 -1 }}
|
|
|-
| [[7777/7776]]
| 0.223
| 7×11×101/(2×3)<sup>5</sup>
| 2.3.7.11.101 {{monzo| -5 -5 1 1 1 }}
| Pulsar comma
|
|}
 
=== 103-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[103/102]]
| 16.890
| 103/(2×3×17)
| 2.3.17.103 {{monzo| -1 -1 -1 1 }}
|
|
|-
| [[104/103]]
| 16.727
| (2<sup>3</sup>×13)/103
| 2.13.103 {{monzo| 3 1 -1 }}
|
|
|}
 
=== 107-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[107/106]]
| 16.256
| 107/(2×53)
| 2.53.107 {{monzo| -1 -1 1 }}
|
|
|-
| [[108/107]]
| 16.105
| (2<sup>2</sup>×3<sup>3</sup>)/107
| 2.3.107 {{monzo| 2 3 -1 }}
|
|
|-
| [[750/749]]
| 2.3099
| (2×3×5<sup>3</sup>)/(7×107)
| 2.3.5.7.107 {{monzo| 1 1 3 -1 -1 }}
| Ancient Chinese tempering comma
|
|}
 
=== 109-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[109/108]]
| 15.956
| 109/(2<sup>2</sup>×3<sup>3</sup>)
| 2.3.109 {{monzo| -2 -3 1 }}
|
|
|-
| [[110/109]]
| 15.810
| (2×5×11)/109
| 2.5.11.109 {{monzo| 1 1 1 -1 }}
|
|
|}
 
=== 113-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[113/112]]
| 15.389
| 113/(2<sup>4</sup>×7)
| 2.7.113 {{monzo| -4 -1 1 }}
|
|
|-
| [[114/113]]
| 15.253
| (2×3×19)/113
| 2.3.19.113 {{monzo| 1 1 1 -1 }}
|
|
|-
| [[226/225]]
| 7.6773
| (2×113)/(3×5)<sup>2</sup>
| 2.3.5.113 {{monzo| 1 -2 -2 1 }}
| Reversed marvel comma
|
|}
 
=== 127-limit (incomplete) ===
{| class="wikitable center-6" style="width:100%"
! width="10%" | [[Ratio]]
! width="10%" | [[Cent]]s
! width="15%" | Factorization
! width="15%" | [[Monzo]]
! width="45%" | Name(s)
! width="5%" | Meta<ref name="ssp"/>
|-
| [[127/126]]
| 13.686
| 127/(2×3<sup>2</sup>×7)
| 2.3.7.127 {{monzo| -1 -2 -1 1 }}
|
|
|-
| [[128/127]]
| 13.578
| 2<sup>7</sup>/127
| 2.127 {{monzo| 7 -1 }}
|
|
|-
| [[381/380]]
| 4.5499
| (3×127)/(2<sup>2</sup>×5×19)
| 2.3.5.19.127 {{monzo| -2 1 -1 -1 1 }}
| Five feet comma
|
|-
| 500000/499999
| 0.0034625
| (2<sup>5</sup>×5<sup>6</sup>)/(31×127<sup>2</sup>)
| 2.5.31.127 {{monzo| 5 6 -1 -2 }}
|  
|  
|  
|  
|}
|}
[[Category:interval_list]]
 
[[Category:superparticular]]
== See also ==
* [[Gallery of just intervals]]
 
== Notes ==
<references/>
 
== External links ==
* [http://www.huygens-fokker.org/docs/intervals.html ''List of intervals''] on the Huygens-Fokker Foundation website
 
[[Category:Lists of intervals]]
[[Category:Superparticular ratios|*]]
Retrieved from "https://en.xen.wiki/w/List_of_superparticular_intervals"