Interval size measure: Difference between revisions

Line 36:

| [[43edo|43]]

| PRIME

| Proposed by Joseph Sauveur, as 7 heptaméride units ([http://tonalsoft.com/enc/m/meride.aspx ~~source~~])

| Proposed by [[Joseph Sauveur]], as 7 heptaméride units<ref>[http://tonalsoft.com/enc/m/meride.aspx Tonalsoft | ''Méride / 43-ed2 / 43-edo / 43-ET / 43-tone equal-temperament'']</ref>

|-

| [[Holdrian comma]]

Line 46:

| [[72edo|72]]

| 23 × 32

|

| See dedicated page.

|-

| [[Farab]]

| [[144edo|144]]

| 24 × 32

| 1/12 of [[12edo]] semitone; Proposed by al-Farabi in 10th century ([http://~~www~~.~~huygens-fokker.org~~/~~docs~~/~~measures~~.~~html source~~])

| 1/12 of [[12edo]] semitone; Proposed by al-Farabi in 10th century<ref>[http://tonalsoft.com/enc/f/farab.aspx Tonalsoft | ''Farab''].</ref>

|-

| [[Mem]]

| [[205edo|205]]

| 5 × 41

| Unit used by [http://musictheory.zentral.zone/huntsystem1.html H-Pi Instruments]

| Unit used by H-Pi Instruments<ref>[http://musictheory.zentral.zone/huntsystem1.html H-Pi Instruments | Hunt Theoretical System]</ref><ref>[http://tonalsoft.com/enc/m/mem.aspx Tonalsoft | ''Mem, 205-edo'']</ref>

|-

| [[Tredek]]

| [[270edo|270]]

| 2 × 33 × 5

|

| Proposed by [[Joe Monzo]] (2013)<ref>[http://tonalsoft.com/enc/t/tredek.aspx Tonalsoft | ''Tredek, 270-edo'']</ref>.

|-

| [[Savart]]*

| [[300edo|300]]

| 22 × 3 × 52

| Alexander Wood's definition of the Savart (''[https://books.google.com.au/books?id=NWZ8CgAAQBAJ&lpg=PT50&vq=savart&pg=PT51 The Physics of Music]'', 1944), compatible with [[12edo]] system

| [[Alexander Wood]]'s definition of the Savart<ref>''[https://books.google.com.au/books?id=NWZ8CgAAQBAJ&lpg=PT50&vq=savart&pg=PT51 The Physics of Music]'', Alexander Wood, 1944.</ref>, compatible with [[12edo]] system

|-

| [[Heptaméride]]/[[~~Eptaméride~~]]/[[~~Savart~~]]*

| [[Heptaméride]] / [[eptaméride]] / [[savart]]*

| [[301edo|301]]

| 7 × 43

| 301 ≃ 1,000 * log102; 1/7 of Méride unit; ~~Proposed~~ by Joseph Sauveur ([http://~~www.~~tonalsoft.com/enc/e/~~equal-temperament~~.aspx ~~1701~~]~~), advocated by Félix Savart~~

| 301 ≃ 1,000 × log102; 1/7 of Méride unit; proposed by Joseph Sauveur (1701), advocated by [[Félix Savart]]<ref>[http://tonalsoft.com/enc/h/heptameride.aspx Tonalsoft | ''Heptaméride'']</ref>.

|-

| [[Gene]]

| [[311edo|311]]

| PRIME

|

| Proposed by Joe Monzo (2007)<ref>[http://tonalsoft.com/enc/g/gene.aspx Tonalsoft | ''Gene, 311-edo'']</ref>.

|-

| [[Dröbisch Angle]]

| [[360edo|360]]

| 23 × 32 × 5

|

| Proposed as ''angle'' by [[Moritz Dröbisch]] in the 19th century, later by [[Andrew Pikler]] as the current name in ''Logarithmic Frequency Systems'' (1966).

|-

| [[Squb]]

| [[494edo|494]]

| 2 × 13 × 19

|

| {{Citation needed}}

|-

| Great [[~~Iring~~]]/[[~~Centitone~~]]

| Great [[iring]] / [[centitone]]

| [[500edo|500]]

| 22 × 53

| {{Citation needed}}

|-

| [[Iring]]/[[~~Centitone~~]]

| [[Iring]] / [[centitone]]

| [[600edo|600]]

| 23 × 3 × 52

| [[Relative cent]] of [[6edo]] ([[12edo]] tone); Proposed by Widogast Iring (1898), later by Joseph Yasser as a "centitone" (1932)~~. (~~[http://www.tonalsoft.com/enc/c/centitone.aspx ~~source~~])

| [[Relative cent]] of [[6edo]] ([[12edo]] tone); Proposed by [[Widogast Iring]] (1898), later by [[Joseph Yasser]] as a "centitone" (1932)<ref>[http://www.tonalsoft.com/enc/c/centitone.aspx Tonalsoft | ''Centitone, iring'']</ref>.

|-

| [[Skisma]]

| [[612edo|612]]

| 22 × 32 × 17

| Edo representation of [[Sagittal notation|Sagittal]]'s Ultra (Herculean) precision level JI notation (58eda), where it is known as an "ultrina"

| Edo representation of [[Sagittal notation|Sagittal]]'s Ultra (Herculean) precision level JI notation (58eda), where it is known as an "ultrina"<ref>[http://tonalsoft.com/enc/s/sk.aspx Tonalsoft | ''Sk, 612-edo'']</ref>.

|-

| [[Delfi]]

Line 108:

|

|-

| Small [[~~Iring~~]]/[[~~Centitone~~]]

| Small [[iring]] / [[centitone]]

| [[700edo|700]]

| 22 × 52 x 7

Line 116:

| [[730edo|730]]

| 2 × 5 × 73

| Proposed by Wesley S.B. Woolhouse in [https://archive.org/details/essayonmusicali00woolgoog/page/n34/mode/2up ''Essay on musical intervals''] ~~(1835)~~

| Proposed by [[Wesley S.B. Woolhouse]] (1835)<ref>[https://archive.org/details/essayonmusicali00woolgoog/page/n34/mode/2up ''Essay on musical intervals, harmonics, and the temperament of the musical scale, &c'']</ref>

|-

| [[millioctave]] (moct)

Line 123:

| [[Wikipedia: Metric prefix|SI-prefix]] division of octave

|-

| [[~~cent~~]] (¢)

| [[Cent]] (¢)

| 1200

| 24 × 3 × 52

| ~~1/100 of [[12edo]] semitone~~

| See the dedicated page.

|-

| ~~greater~~ muon

| Greater muon

| [[1224edo|1224]]

| 23 × 32 × 17

| {{Citation needed}}

|-

| ~~triangular~~ cent

| Triangular cent

| [[1260edo|1260]]

| 22 × 32 × 5 × 7

| {{Citation needed}}

|-

| ~~'''~~[[~~pion~~]]~~'''~~

| [[Pion]]

| [[1272edo|1272]]

| 23 × 3 × 53

| {{Citation needed}}

|-

| ~~pound~~

| Pound

| [[1344edo|1344]]

| 26 × 3 × 7

| {{Citation needed}}

|-

| ~~neutron~~

| Neutron

| [[1392edo|1392]]

| 24 × 3 × 29

| {{Citation needed}}

|-

| ~~lesser~~ muon

| Lesser muon

| [[1428edo|1428]]

| 22 × 3 × 7 × 17

| {{Citation needed}}

|-

| ~~deciFarab~~

| Decifarab

| [[1440edo|1440]]

| 25 × 32 × 5

| 1/10 of [[Farab]] unit{{Citation needed}}

|-

| ~~quadratic~~ cent

| Quadratic cent

| [[1452edo|1452]]

| 22 × 3 × 112

| {{Citation needed}}

|-

| ~~ksion~~

| Ksion

| [[1476edo|1476]]

| 22 × 32 × 41

| {{Citation needed}}

|-

| ~~cubic~~ cent

| Cubic cent

| [[1500edo|1500]]

| 22 × 3 × 53

| {{Citation needed}}

|-

| ~~'''~~[[7mu]]~~'''~~ or ~~'''~~[[Heptamu]]~~'''~~

| [[7mu]] or [[Heptamu]]

| [[1536edo|1536]]

| 29 × 3

| ~~(7th MIDI unit), seventh~~ MIDI-resolution unit, 1/128 (1/(27)) of [[~~12ED2~~]] semitone ([http://tonalsoft.com/enc/number/7mu.aspx ~~source~~])

| Seventh MIDI-resolution unit, 1/128 (1/(27)) of [[12edo]] semitone<ref>[http://tonalsoft.com/enc/number/7mu.aspx Tonalsoft | ''7mu / heptamu'']</ref>

|-

| ~~rhoon~~

| Rhoon

| [[1560edo|1560]]

| 23 × 3 × 5 × 13

Line 193:

| From Sanskrit ''śatam'': hundred; [[Relative cent]] of Armodue 16edo Theory{{Citation needed}}

|-

| ~~tile~~

| Tile

| [[1632edo|1632]]

| 25 × 3 × 17

Line 201:

| [[1\1700_octave|1700]]

| 22 × 52 × 17

| [[Relative cent]] of [[17edo]]; proposed by [[Margo Schulter]] (~~[http://www.huygens-fokker.org/docs/measures.html source]~~) and [[George Secor]] ~~([[Relative cent|source]])~~

| [[Relative cent]] of [[17edo]]; proposed by [[Margo Schulter]] (2002) and [[George Secor]]

|-

| [[Harmos]]

| [[1728edo|1728]]

| 26 × 33

| 1728 = 123; 1/144 of [[12edo]] semitone; Proposed by Paul Beaver ([http://~~www.~~tonalsoft.com/enc/e/equal-temperament.aspx ~~source~~])

| 1728 = 123; 1/144 of [[12edo]] semitone; Proposed by [[Paul Beaver]]<ref>[http://tonalsoft.com/enc/e/equal-temperament.aspx Tonalsoft | ''Equal temperaments'']</ref>

|-

| Hind śat / Indian cent

Line 216:

| [[2460edo|2460]]

| 22 × 3 × 5 × 41

| Abbreviation of "schismina", edo representation of [[Sagittal notation|Sagittal]]'s Extreme (Olympian) precision level JI notation (233eda)

| Abbreviation of "schismina", edo representation of [[Sagittal notation|Sagittal]]'s Extreme (Olympian) precision level JI notation (233eda)<ref>[http://tonalsoft.com/enc/m/mina.aspx Tonalsoft | ''Mina'']</ref>

|-

| Centidiesis

Line 231:

| [[8539edo|8539]]

| PRIME

| Provides good approximations for 41-limit primes except 37 ~~([http://www.tonalsoft.com/enc/t/tina.aspx source])~~; named by [[Dave Keenan]] and [[George Secor]]; edo representation of [[Sagittal notation|Sagittal]]'s Insane (Magrathean) precision level JI notation (809eda)

| Provides good approximations for 41-limit primes except 37; named by [[Dave Keenan]] and [[George Secor]]; edo representation of [[Sagittal notation|Sagittal]]'s Insane (Magrathean) precision level JI notation (809eda)<ref>[http://tonalsoft.com/enc/t/tina.aspx Tonalsoft | ''Tina'']</ref>.

|-

| [[Purdal]]

| [[9900edo|9900]]

| 22 × 32 × 52 × 11

| [[Relative cent]] of [[99edo]]; Suggested by [[Osmiorisbendi]], advocated by [[Tútim Dennsuul Wafiil]]

| [[Relative cent]] of [[99edo]]; Suggested by [[Osmiorisbendi]], advocated by [[Tútim Dennsuul Wafiil]].

|-

| [[Türk sent]] / [[Turkish cent]]

| [[10600edo|10600]]

| 23 × 52 × 53

| [[Relative cent]] of [[106edo]], 1/200 of [[53edo]]; invented by [http://www.tonalsoft.com/enc/t/turk-sent.aspx ~~M. Ekrem Karadeniz~~] ~~(1965)~~, ~~influenced by [https://core~~.~~ac.uk~~/~~download/pdf/76124322.pdf Abdülkadir Töre]~~

| [[Relative cent]] of [[106edo]], 1/200 of [[53edo]]; invented by [[M. Ekrem Karadeniz]] (1965), influenced by [[Abdülkadir Töre]]<ref>[http://www.tonalsoft.com/enc/t/turk-sent.aspx Tonalsoft | ''Türk-sent'']</ref><ref>''79-Tone Tuning & Theory for Turkish Maqam Music'', Ozan Yarman. </ref>

|-

| [[Prima]]

Line 251:

| [[16808edo|16808]]

| 23 × 11 × 191

|

| See the dedicated page.

|-

| [[Jot]]

| [[30103edo|30103]]

| PRIME

| 30103 ≃ 100,000 * log102; Proposed by [~~http://www.tonalsoft.com/enc/j/jot.aspx~~ Augustus de Morgan]([http://tonalsoft.com/enc/e/~~equal-temperament~~.aspx ~~1864~~])

| 30103 ≃ 100,000 × log102; Proposed by [[Augustus de Morgan]] (1864)<ref>[http://www.tonalsoft.com/enc/j/jot.aspx Tonalsoft | ''Jot'']</ref>

|-

| [[Imp]]

Line 266:

| [[46032edo|46032]]

| 24 × 3 × 7 × 137

|

| Proposed by [[Gene Ward Smith]] (2005)<ref>[http://tonalsoft.com/enc/f/flu.aspx Tonalsoft | ''Flu'']</ref>

|-

| [[MIDI Tuning Standard unit]]

| [[MIDI Tuning Standard unit]] (14mu)

| [[196608edo|196608]]

| 216 × 3

| ~~14mu (14th MIDI unit), fourteenth~~ MIDI-resolution unit, 1/16384 (1/(214)) of [[12edo]] semitone

| Fourteenth MIDI-resolution unit, 1/16384 (1/(214)) of [[12edo]] semitone

|-

| [[Mean free path]]

| ~216,608,494

| ~~2×41×2641567~~

| 2 × 41 × 2641567

|

|}

@@ Line 36: / Line 36: @@
 | [[43edo|43]]
 | PRIME
-| Proposed by Joseph Sauveur, as 7 heptaméride units ([http://tonalsoft.com/enc/m/meride.aspx source])
+| Proposed by [[Joseph Sauveur]], as 7 heptaméride units<ref>[http://tonalsoft.com/enc/m/meride.aspx Tonalsoft | ''Méride / 43-ed2 / 43-edo / 43-ET / 43-tone equal-temperament'']</ref>
 |-
 | [[Holdrian comma]]
@@ Line 46: / Line 46: @@
 | [[72edo|72]]
 | 2<sup>3</sup> × 3<sup>2</sup>
-|
+| See dedicated page.
 |-
 | [[Farab]]
 | [[144edo|144]]
 | 2<sup>4</sup> × 3<sup>2</sup>
-| 1/12 of [[12edo]] semitone; Proposed by al-Farabi in 10th century ([http://www.huygens-fokker.org/docs/measures.html source])
+| 1/12 of [[12edo]] semitone; Proposed by al-Farabi in 10th century<ref>[http://tonalsoft.com/enc/f/farab.aspx Tonalsoft | ''Farab''].</ref>
 |-
 | [[Mem]]
 | [[205edo|205]]
 | 5 × 41
-| Unit used by [http://musictheory.zentral.zone/huntsystem1.html H-Pi Instruments]
+| Unit used by H-Pi Instruments<ref>[http://musictheory.zentral.zone/huntsystem1.html H-Pi Instruments | Hunt Theoretical System]</ref><ref>[http://tonalsoft.com/enc/m/mem.aspx Tonalsoft | ''Mem, 205-edo'']</ref>
 |-
 | [[Tredek]]
 | [[270edo|270]]
 | 2 × 3<sup>3</sup> × 5
-|
+| Proposed by [[Joe Monzo]] (2013)<ref>[http://tonalsoft.com/enc/t/tredek.aspx Tonalsoft | ''Tredek, 270-edo'']</ref>.
 |-
 | [[Savart]]*
 | [[300edo|300]]
 | 2<sup>2</sup> × 3 × 5<sup>2</sup>
-| Alexander Wood's definition of the Savart (''[https://books.google.com.au/books?id=NWZ8CgAAQBAJ&lpg=PT50&vq=savart&pg=PT51 The Physics of Music]'', 1944), compatible with [[12edo]] system
+| [[Alexander Wood]]'s definition of the Savart<ref>''[https://books.google.com.au/books?id=NWZ8CgAAQBAJ&lpg=PT50&vq=savart&pg=PT51 The Physics of Music]'', Alexander Wood, 1944.</ref>, compatible with [[12edo]] system
 |-
-| [[Heptaméride]]/[[Eptaméride]]/[[Savart]]*
+| [[Heptaméride]] / [[eptaméride]] / [[savart]]*
 | [[301edo|301]]
 | 7 × 43
-| 301 ≃ 1,000 * log<sub>10</sub>2; 1/7 of Méride unit; Proposed by Joseph Sauveur ([http://www.tonalsoft.com/enc/e/equal-temperament.aspx 1701]), advocated by Félix Savart
+| 301 ≃ 1,000 × log<sub>10</sub>2; 1/7 of Méride unit; proposed by Joseph Sauveur (1701), advocated by [[Félix Savart]]<ref>[http://tonalsoft.com/enc/h/heptameride.aspx Tonalsoft | ''Heptaméride'']</ref>.
 |-
 | [[Gene]]
 | [[311edo|311]]
 | PRIME
-|
+| Proposed by Joe Monzo (2007)<ref>[http://tonalsoft.com/enc/g/gene.aspx Tonalsoft | ''Gene, 311-edo'']</ref>.
 |-
 | [[Dröbisch Angle]]
 | [[360edo|360]]
 | 2<sup>3</sup> × 3<sup>2</sup> × 5
-|
+| Proposed as ''angle'' by [[Moritz Dröbisch]] in the 19th century, later by [[Andrew Pikler]] as the current name in ''Logarithmic Frequency Systems'' (1966).
 |-
 | [[Squb]]
 | [[494edo|494]]
 | 2 × 13 × 19
-|
+| {{Citation needed}}
 |-
-| Great [[Iring]]/[[Centitone]]
+| Great [[iring]] / [[centitone]]
 | [[500edo|500]]
 | 2<sup>2</sup> × 5<sup>3</sup>
 | {{Citation needed}}
 |-
-| [[Iring]]/[[Centitone]]
+| [[Iring]] / [[centitone]]
 | [[600edo|600]]
 | 2<sup>3</sup> × 3 × 5<sup>2</sup>
-| [[Relative cent]] of [[6edo]] ([[12edo]] tone); Proposed by Widogast Iring (1898), later by Joseph Yasser as a "centitone" (1932). ([http://www.tonalsoft.com/enc/c/centitone.aspx source])
+| [[Relative cent]] of [[6edo]] ([[12edo]] tone); Proposed by [[Widogast Iring]] (1898), later by [[Joseph Yasser]] as a "centitone" (1932)<ref>[http://www.tonalsoft.com/enc/c/centitone.aspx Tonalsoft | ''Centitone, iring'']</ref>.
 |-
 | [[Skisma]]
 | [[612edo|612]]
 | 2<sup>2</sup> × 3<sup>2</sup> × 17
-| Edo representation of [[Sagittal notation|Sagittal]]'s Ultra (Herculean) precision level JI notation (58eda), where it is known as an "ultrina"
+| Edo representation of [[Sagittal notation|Sagittal]]'s Ultra (Herculean) precision level JI notation (58eda), where it is known as an "ultrina"<ref>[http://tonalsoft.com/enc/s/sk.aspx Tonalsoft | ''Sk, 612-edo'']</ref>.
 |-
 | [[Delfi]]
@@ Line 108: / Line 108: @@
 |
 |-
-| Small [[Iring]]/[[Centitone]]
+| Small [[iring]] / [[centitone]]
 | [[700edo|700]]
 | 2<sup>2</sup> × 5<sup>2</sup> x 7
@@ Line 116: / Line 116: @@
 | [[730edo|730]]
 | 2 × 5 × 73
-| Proposed by Wesley S.B. Woolhouse in [https://archive.org/details/essayonmusicali00woolgoog/page/n34/mode/2up ''Essay on musical intervals''] (1835)
+| Proposed by [[Wesley S.B. Woolhouse]] (1835)<ref>[https://archive.org/details/essayonmusicali00woolgoog/page/n34/mode/2up ''Essay on musical intervals, harmonics, and the temperament of the musical scale, &c'']</ref>
 |-
 | [[millioctave]] (moct)
@@ Line 123: / Line 123: @@
 | [[Wikipedia: Metric prefix|SI-prefix]] division of octave
 |-
-| [[cent]] (¢)
+| [[Cent]] (¢)
 | 1200
 | 2<sup>4</sup> × 3 × 5<sup>2</sup>
-| 1/100 of [[12edo]] semitone
+| See the dedicated page.
 |-
-| greater muon
+| Greater muon
 | [[1224edo|1224]]
 | 2<sup>3</sup> × 3<sup>2</sup> × 17
 | {{Citation needed}}
 |-
-| triangular cent
+| Triangular cent
 | [[1260edo|1260]]
 | 2<sup>2</sup> × 3<sup>2</sup> × 5 × 7
 | {{Citation needed}}
 |-
-| '''[[pion]]'''
+| [[Pion]]
 | [[1272edo|1272]]
 | 2<sup>3</sup> × 3 × 53
 | {{Citation needed}}
 |-
-| pound
+| Pound
 | [[1344edo|1344]]
 | 2<sup>6</sup> × 3 × 7
 | {{Citation needed}}
 |-
-| neutron
+| Neutron
 | [[1392edo|1392]]
 | 2<sup>4</sup> × 3 × 29
 | {{Citation needed}}
 |-
-| lesser muon
+| Lesser muon
 | [[1428edo|1428]]
 | 2<sup>2</sup> × 3 × 7 × 17
 | {{Citation needed}}
 |-
-| deciFarab
+| Decifarab
 | [[1440edo|1440]]
 | 2<sup>5</sup> × 3<sup>2</sup> × 5
 | 1/10 of [[Farab]] unit{{Citation needed}}
 |-
-| quadratic cent
+| Quadratic cent
 | [[1452edo|1452]]
 | 2<sup>2</sup> × 3 × 11<sup>2</sup>
 | {{Citation needed}}
 |-
-| ksion
+| Ksion
 | [[1476edo|1476]]
 | 2<sup>2</sup> × 3<sup>2</sup> × 41
 | {{Citation needed}}
 |-
-| cubic cent
+| Cubic cent
 | [[1500edo|1500]]
 | 2<sup>2</sup> × 3 × 5<sup>3</sup>
 | {{Citation needed}}
 |-
-| '''[[7mu]]''' or '''[[Heptamu]]'''
+| [[7mu]] or [[Heptamu]]
 | [[1536edo|1536]]
 | 2<sup>9</sup> × 3
-| (7th MIDI unit), seventh MIDI-resolution unit, 1/128 (1/(2<sup>7</sup>)) of [[12ED2]] semitone ([http://tonalsoft.com/enc/number/7mu.aspx source])
+| Seventh MIDI-resolution unit, 1/128 (1/(2<sup>7</sup>)) of [[12edo]] semitone<ref>[http://tonalsoft.com/enc/number/7mu.aspx Tonalsoft | ''7mu / heptamu'']</ref>
 |-
-| rhoon
+| Rhoon
 | [[1560edo|1560]]
 | 2<sup>3</sup> × 3 × 5 × 13
@@ Line 193: / Line 193: @@
 | From Sanskrit ''śatam'': hundred; [[Relative cent]] of Armodue 16edo Theory{{Citation needed}}
 |-
-| tile
+| Tile
 | [[1632edo|1632]]
 | 2<sup>5</sup> × 3 × 17
@@ Line 201: / Line 201: @@
 | [[1\1700_octave|1700]]
 | 2<sup>2</sup> × 5<sup>2</sup> × 17
-| [[Relative cent]] of [[17edo]]; proposed by [[Margo Schulter]] ([http://www.huygens-fokker.org/docs/measures.html source]) and [[George Secor]] ([[Relative cent|source]])
+| [[Relative cent]] of [[17edo]]; proposed by [[Margo Schulter]] (2002) and [[George Secor]]
 |-
 | [[Harmos]]
 | [[1728edo|1728]]
 | 2<sup>6</sup> × 3<sup>3</sup>
-| 1728 = 12<sup>3</sup>; 1/144 of [[12edo]] semitone; Proposed by Paul Beaver ([http://www.tonalsoft.com/enc/e/equal-temperament.aspx source])
+| 1728 = 12<sup>3</sup>; 1/144 of [[12edo]] semitone; Proposed by [[Paul Beaver]]<ref>[http://tonalsoft.com/enc/e/equal-temperament.aspx Tonalsoft | ''Equal temperaments'']</ref>
 |-
 | Hind śat / Indian cent
@@ Line 216: / Line 216: @@
 | [[2460edo|2460]]
 | 2<sup>2</sup> × 3 × 5 × 41
-| Abbreviation of "schismina", edo representation of [[Sagittal notation|Sagittal]]'s Extreme (Olympian) precision level JI notation (233eda)
+| Abbreviation of "schismina", edo representation of [[Sagittal notation|Sagittal]]'s Extreme (Olympian) precision level JI notation (233eda)<ref>[http://tonalsoft.com/enc/m/mina.aspx Tonalsoft | ''Mina'']</ref>
 |-
 | Centidiesis
@@ Line 231: / Line 231: @@
 | [[8539edo|8539]]
 | PRIME
-| Provides good approximations for 41-limit primes except 37 ([http://www.tonalsoft.com/enc/t/tina.aspx source]); named by [[Dave Keenan]] and [[George Secor]]; edo representation of [[Sagittal notation|Sagittal]]'s Insane (Magrathean) precision level JI notation (809eda)
+| Provides good approximations for 41-limit primes except 37; named by [[Dave Keenan]] and [[George Secor]]; edo representation of [[Sagittal notation|Sagittal]]'s Insane (Magrathean) precision level JI notation (809eda)<ref>[http://tonalsoft.com/enc/t/tina.aspx Tonalsoft | ''Tina'']</ref>.
 |-
 | [[Purdal]]
 | [[9900edo|9900]]
 | 2<sup>2</sup> × 3<sup>2</sup> × 5<sup>2</sup> × 11
-| [[Relative cent]] of [[99edo]]; Suggested by [[Osmiorisbendi]], advocated by [[Tútim Dennsuul Wafiil]]
+| [[Relative cent]] of [[99edo]]; Suggested by [[Osmiorisbendi]], advocated by [[Tútim Dennsuul Wafiil]].
 |-
 | [[Türk sent]] / [[Turkish cent]]
 | [[10600edo|10600]]
 | 2<sup>3</sup> × 5<sup>2</sup> × 53
-| [[Relative cent]] of [[106edo]], 1/200 of [[53edo]]; invented by [http://www.tonalsoft.com/enc/t/turk-sent.aspx M. Ekrem Karadeniz] (1965), influenced by  [https://core.ac.uk/download/pdf/76124322.pdf Abdülkadir Töre]
+| [[Relative cent]] of [[106edo]], 1/200 of [[53edo]]; invented by [[M. Ekrem Karadeniz]] (1965), influenced by [[Abdülkadir Töre]]<ref>[http://www.tonalsoft.com/enc/t/turk-sent.aspx Tonalsoft | ''Türk-sent'']</ref><ref>''79-Tone Tuning & Theory for Turkish Maqam Music'', Ozan Yarman. </ref>
 |-
 | [[Prima]]
@@ Line 251: / Line 251: @@
 | [[16808edo|16808]]
 | 2<sup>3</sup> × 11 × 191
-|
+| See the dedicated page.
 |-
 | [[Jot]]
 | [[30103edo|30103]]
 | PRIME
-| 30103 ≃ 100,000 * log<sub>10</sub>2; Proposed by [http://www.tonalsoft.com/enc/j/jot.aspx Augustus de Morgan]([http://tonalsoft.com/enc/e/equal-temperament.aspx 1864])
+| 30103 ≃ 100,000 × log<sub>10</sub>2; Proposed by [[Augustus de Morgan]] (1864)<ref>[http://www.tonalsoft.com/enc/j/jot.aspx Tonalsoft | ''Jot'']</ref>
 |-
 | [[Imp]]
@@ Line 266: / Line 266: @@
 | [[46032edo|46032]]
 | 2<sup>4</sup> × 3 × 7 × 137
-|
+| Proposed by [[Gene Ward Smith]] (2005)<ref>[http://tonalsoft.com/enc/f/flu.aspx Tonalsoft | ''Flu'']</ref>
 |-
-| [[MIDI Tuning Standard unit]]
+| [[MIDI Tuning Standard unit]] (14mu)
 | [[196608edo|196608]]
 | 2<sup>16</sup> × 3
-| 14mu (14th MIDI unit), fourteenth MIDI-resolution unit, 1/16384 (1/(2<sup>14</sup>)) of [[12edo]] semitone
+| Fourteenth MIDI-resolution unit, 1/16384 (1/(2<sup>14</sup>)) of [[12edo]] semitone
 |-
 | [[Mean free path]]
 | ~216,608,494
-| 2×41×2641567
+| 2 × 41 × 2641567
 |
 |}