30edo: Difference between revisions

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__FORCETOC__
= Theory =
The ''30 equal division'' divides the octave into 30 equal steps of precisely 40 cents each. Its [[Patent_val|patent val]] is a doubled version of the patent val for [[15edo|15edo]] through the 11-limit, so 30 can be viewed as a [[contorted|contorted]] version of 15. In the 13-limit it supplies the optimal patent val for [[Trienstonic_clan#Quindecic|quindecic temperament]].
The ''30 equal division'' divides the octave into 30 equal steps of precisely 40 cents each. Its [[Patent_val|patent val]] is a doubled version of the patent val for [[15edo|15edo]] through the 11-limit, so 30 can be viewed as a [[contorted|contorted]] version of 15. In the 13-limit it supplies the optimal patent val for [[Trienstonic_clan#Quindecic|quindecic temperament]].


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[[File:plot30.png|alt=plot30.png|plot30.png]]
[[File:plot30.png|alt=plot30.png|plot30.png]]


==Intervals==
=Intervals=


{| class="wikitable"
{| class="wikitable"
Line 25: Line 27:
| style="text-align:center;" | ^1, ^m2
| style="text-align:center;" | ^1, ^m2
| style="text-align:center;" | up unison, upminor 2nd
| style="text-align:center;" | up unison, upminor 2nd
| style="text-align:center;" | D^, Eb^
| style="text-align:center;" | ^D, ^Eb
|-
|-
| style="text-align:center;" | 2
| style="text-align:center;" | 2
Line 31: Line 33:
| style="text-align:center;" | ^^1, v~2
| style="text-align:center;" | ^^1, v~2
| style="text-align:center;" | double-up unison, downmid 2nd
| style="text-align:center;" | double-up unison, downmid 2nd
| style="text-align:center;" | D^^, Eb^^
| style="text-align:center;" | ^^D, ^^Eb
|-
|-
| style="text-align:center;" | 3
| style="text-align:center;" | 3
Line 37: Line 39:
| style="text-align:center;" | ~2
| style="text-align:center;" | ~2
| style="text-align:center;" | mid 2nd
| style="text-align:center;" | mid 2nd
| style="text-align:center;" | Ev<span style="font-size: 90%; vertical-align: super;">3</span>
| style="text-align:center;" | v<span style="font-size: 90%; vertical-align: super;">3</span>E
|-
|-
| style="text-align:center;" | 4
| style="text-align:center;" | 4
Line 43: Line 45:
| style="text-align:center;" | ^~2
| style="text-align:center;" | ^~2
| style="text-align:center;" | upmid 2nd
| style="text-align:center;" | upmid 2nd
| style="text-align:center;" | Evv
| style="text-align:center;" | vvE
|-
|-
| style="text-align:center;" | 5
| style="text-align:center;" | 5
Line 49: Line 51:
| style="text-align:center;" | vM2
| style="text-align:center;" | vM2
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | Ev
| style="text-align:center;" | vE
|-
|-
| style="text-align:center;" | 6
| style="text-align:center;" | 6
Line 61: Line 63:
| style="text-align:center;" | ^m3
| style="text-align:center;" | ^m3
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | F^
| style="text-align:center;" | ^F
|-
|-
| style="text-align:center;" | 8
| style="text-align:center;" | 8
Line 67: Line 69:
| style="text-align:center;" | v~3
| style="text-align:center;" | v~3
| style="text-align:center;" | downmid 3rd
| style="text-align:center;" | downmid 3rd
| style="text-align:center;" | F^^
| style="text-align:center;" | ^^F
|-
|-
| style="text-align:center;" | 9
| style="text-align:center;" | 9
Line 73: Line 75:
| style="text-align:center;" | ~3
| style="text-align:center;" | ~3
| style="text-align:center;" | mid 3rd
| style="text-align:center;" | mid 3rd
| style="text-align:center;" | F^<span style="font-size: 90%; vertical-align: super;">3</span>
| style="text-align:center;" | ^<span style="font-size: 90%; vertical-align: super;">3</span>F, v<span style="font-size: 90%; vertical-align: super;">3</span>F#
|-
|-
| style="text-align:center;" | 10
| style="text-align:center;" | 10
Line 79: Line 81:
| style="text-align:center;" | ^~3
| style="text-align:center;" | ^~3
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | F#vv
| style="text-align:center;" | vvF#
|-
|-
| style="text-align:center;" | 11
| style="text-align:center;" | 11
Line 85: Line 87:
| style="text-align:center;" | vM3, v4
| style="text-align:center;" | vM3, v4
| style="text-align:center;" | downmajor 3rd, down 4th
| style="text-align:center;" | downmajor 3rd, down 4th
| style="text-align:center;" | F#v, Gv
| style="text-align:center;" | vF#, vG
|-
|-
| style="text-align:center;" | 12
| style="text-align:center;" | 12
Line 97: Line 99:
| style="text-align:center;" | ^4, ^d5
| style="text-align:center;" | ^4, ^d5
| style="text-align:center;" | up 4th, updim 5th
| style="text-align:center;" | up 4th, updim 5th
| style="text-align:center;" | G^, Ab^
| style="text-align:center;" | ^G, ^Ab
|-
|-
| style="text-align:center;" | 14
| style="text-align:center;" | 14
| style="text-align:center;" | 560
| style="text-align:center;" | 560
| style="text-align:center;" | ^^4, ^^d5
| style="text-align:center;" | v~4, v~d5
| style="text-align:center;" | double-up 4th, double-up dim 5th
| style="text-align:center;" | downmid 4th, downmid 5th
| style="text-align:center;" | G^^, Ab^^
| style="text-align:center;" | ^^G, ^^Ab
|-
|-
| style="text-align:center;" | 15
| style="text-align:center;" | 15
| style="text-align:center;" | 600
| style="text-align:center;" | 600
| style="text-align:center;" | ^<span style="font-size: 90%; vertical-align: super;">3</span>4, v<span style="font-size: 90%; vertical-align: super;">3</span>5
| style="text-align:center;" | ~4, ~5
| style="text-align:center;" | triple-up 4th, triple-down 5th
| style="text-align:center;" | mid 4th, mid 5th
| style="text-align:center;" | G^3, Av3
| style="text-align:center;" | ^<span style="font-size: 90%; vertical-align: super;">3</span>G, v<span style="font-size: 90%; vertical-align: super;">3</span>A
|-
|-
| style="text-align:center;" | 16
| style="text-align:center;" | 16
| style="text-align:center;" | 640
| style="text-align:center;" | 640
| style="text-align:center;" | vvA4, vv5
| style="text-align:center;" | ^~A4, ^~5
| style="text-align:center;" | double-down aug 4th, double-down 5th
| style="text-align:center;" | upmid 4th, upmid 5th
| style="text-align:center;" | G#vv, Avv
| style="text-align:center;" | vvG#, vvA
|-
|-
| style="text-align:center;" | 17
| style="text-align:center;" | 17
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| style="text-align:center;" | vA4, v5
| style="text-align:center;" | vA4, v5
| style="text-align:center;" | downaug 4th, down 5th
| style="text-align:center;" | downaug 4th, down 5th
| style="text-align:center;" | G#v, Av
| style="text-align:center;" | vG#, vA
|-
|-
| style="text-align:center;" | 18
| style="text-align:center;" | 18
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| style="text-align:center;" | ^5, ^m6
| style="text-align:center;" | ^5, ^m6
| style="text-align:center;" | up 5th, upminor 6th
| style="text-align:center;" | up 5th, upminor 6th
| style="text-align:center;" | A^, Bb^
| style="text-align:center;" | ^A, ^Bb
|-
|-
| style="text-align:center;" | 20
| style="text-align:center;" | 20
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| style="text-align:center;" | v~6
| style="text-align:center;" | v~6
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | Bb^^
| style="text-align:center;" | ^^Bb
|-
|-
| style="text-align:center;" | 21
| style="text-align:center;" | 21
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| style="text-align:center;" | ~6
| style="text-align:center;" | ~6
| style="text-align:center;" | mid 6th
| style="text-align:center;" | mid 6th
| style="text-align:center;" | Bv<span style="font-size: 90%; vertical-align: super;">3</span>
| style="text-align:center;" | v<span style="font-size: 90%; vertical-align: super;">3</span>B
|-
|-
| style="text-align:center;" | 22
| style="text-align:center;" | 22
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| style="text-align:center;" | ^~6
| style="text-align:center;" | ^~6
| style="text-align:center;" | upmid 6th
| style="text-align:center;" | upmid 6th
| style="text-align:center;" | Bvv
| style="text-align:center;" | vvB
|-
|-
| style="text-align:center;" | 23
| style="text-align:center;" | 23
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| style="text-align:center;" | vM6
| style="text-align:center;" | vM6
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | Bv
| style="text-align:center;" | vB
|-
|-
| style="text-align:center;" | 24
| style="text-align:center;" | 24
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| style="text-align:center;" | ^m7
| style="text-align:center;" | ^m7
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | C^
| style="text-align:center;" | ^C
|-
|-
| style="text-align:center;" | 26
| style="text-align:center;" | 26
Line 175: Line 177:
| style="text-align:center;" | v~7
| style="text-align:center;" | v~7
| style="text-align:center;" | downmid 7th
| style="text-align:center;" | downmid 7th
| style="text-align:center;" | C^^
| style="text-align:center;" | ^^C
|-
|-
| style="text-align:center;" | 27
| style="text-align:center;" | 27
Line 181: Line 183:
| style="text-align:center;" | ~7
| style="text-align:center;" | ~7
| style="text-align:center;" | mid 7th
| style="text-align:center;" | mid 7th
| style="text-align:center;" | C^<span style="font-size: 90%; vertical-align: super;">3</span>
| style="text-align:center;" | ^<span style="font-size: 90%; vertical-align: super;">3</span>C
|-
|-
| style="text-align:center;" | 28
| style="text-align:center;" | 28
Line 187: Line 189:
| style="text-align:center;" | ^~7, vv8
| style="text-align:center;" | ^~7, vv8
| style="text-align:center;" | upmid 7th, double-down 8ve
| style="text-align:center;" | upmid 7th, double-down 8ve
| style="text-align:center;" | C#vv, Dvv
| style="text-align:center;" | vvC#, vvD
|-
|-
| style="text-align:center;" | 29
| style="text-align:center;" | 29
Line 193: Line 195:
| style="text-align:center;" | vM7, v8
| style="text-align:center;" | vM7, v8
| style="text-align:center;" | downmajor 7th, down 8ve
| style="text-align:center;" | downmajor 7th, down 8ve
| style="text-align:center;" | C#v, Dv
| style="text-align:center;" | vC#, vD
|-
|-
| style="text-align:center;" | 30
| style="text-align:center;" | 30
Line 203: Line 205:


=Commas=
=Commas=
30 EDO tempers out the following commas. (Note: This assumes the val &lt; 30 48 70 84 104 111 | .)
30 EDO tempers out the following [[commas]]. (Note: This assumes the val &lt; 30 48 70 84 104 111 | .)


{| class="wikitable"
{| class="wikitable"
|-
|-
! | Comma
! | [[Ratio]]
! | Monzo
! | [[Monzo]]
! | Value (Cents)
! | [[Cents]]
![[Color notation/Temperament Names|Color Name]]
! | Name 1
! | Name 1
! | Name 2
! | Name 2
Line 217: Line 220:
| |<nowiki> | 8 -5 </nowiki>&gt;
| |<nowiki> | 8 -5 </nowiki>&gt;
| style="text-align:right;" | 90.22
| style="text-align:right;" | 90.22
| style="text-align:center;" |Sawa
| style="text-align:center;" | Limma
| style="text-align:center;" | Limma
| style="text-align:center;" | Pythagorean Minor 2nd
| style="text-align:center;" | Pythagorean Minor 2nd
Line 224: Line 228:
| |<nowiki> | 1 -5 3 </nowiki>&gt;
| |<nowiki> | 1 -5 3 </nowiki>&gt;
| style="text-align:right;" | 49.17
| style="text-align:right;" | 49.17
| style="text-align:center;" |Triyo
| style="text-align:center;" | Maximal Diesis
| style="text-align:center;" | Maximal Diesis
| style="text-align:center;" | Porcupine Comma
| style="text-align:center;" | Porcupine Comma
Line 231: Line 236:
| |<nowiki> | 7 0 -3 </nowiki>&gt;
| |<nowiki> | 7 0 -3 </nowiki>&gt;
| style="text-align:right;" | 41.06
| style="text-align:right;" | 41.06
| style="text-align:center;" |Trigu
| style="text-align:center;" | Diesis
| style="text-align:center;" | Diesis
| style="text-align:center;" | Augmented Comma
| style="text-align:center;" | Augmented Comma
Line 238: Line 244:
| |<nowiki> | -6 -5 6 </nowiki>&gt;
| |<nowiki> | -6 -5 6 </nowiki>&gt;
| style="text-align:right;" | 8.11
| style="text-align:right;" | 8.11
| style="text-align:center;" |Tribiyo
| style="text-align:center;" | Kleisma
| style="text-align:center;" | Kleisma
| style="text-align:center;" | Semicomma Majeur
| style="text-align:center;" | Semicomma Majeur
Line 245: Line 252:
| |<nowiki> | -3 1 -3 3 </nowiki>&gt;
| |<nowiki> | -3 1 -3 3 </nowiki>&gt;
| style="text-align:right;" | 49.49
| style="text-align:right;" | 49.49
| style="text-align:center;" |Trizogu
| style="text-align:center;" | Keega
| style="text-align:center;" | Keega
| style="text-align:center;" |  
| style="text-align:center;" |  
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| |<nowiki> | -4 -1 0 2 </nowiki>&gt;
| |<nowiki> | -4 -1 0 2 </nowiki>&gt;
| style="text-align:right;" | 35.70
| style="text-align:right;" | 35.70
| style="text-align:center;" |Zozo
| style="text-align:center;" | Slendro Diesis
| style="text-align:center;" | Slendro Diesis
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 259: Line 268:
| |<nowiki> | 6 -2 0 -1 </nowiki>&gt;
| |<nowiki> | 6 -2 0 -1 </nowiki>&gt;
| style="text-align:right;" | 27.26
| style="text-align:right;" | 27.26
| style="text-align:center;" |Ru
| style="text-align:center;" | Septimal Comma
| style="text-align:center;" | Septimal Comma
| style="text-align:center;" | Archytas' Comma
| style="text-align:center;" | Archytas' Comma
Line 266: Line 276:
| |<nowiki> | -9 3 -3 4 </nowiki>&gt;
| |<nowiki> | -9 3 -3 4 </nowiki>&gt;
| style="text-align:right;" | 22.23
| style="text-align:right;" | 22.23
| style="text-align:center;" |Laquadzo-atrigu
| style="text-align:center;" | Squalentine
| style="text-align:center;" | Squalentine
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 273: Line 284:
| |<nowiki> | -5 -3 3 1 </nowiki>&gt;
| |<nowiki> | -5 -3 3 1 </nowiki>&gt;
| style="text-align:right;" | 21.90
| style="text-align:right;" | 21.90
| style="text-align:center;" |Zotriyo
| style="text-align:center;" | Keema
| style="text-align:center;" | Keema
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 280: Line 292:
| |<nowiki> | 1 2 -3 1 </nowiki>&gt;
| |<nowiki> | 1 2 -3 1 </nowiki>&gt;
| style="text-align:right;" | 13.79
| style="text-align:right;" | 13.79
| style="text-align:center;" |Zotrigu
| style="text-align:center;" | Septimal Semicomma
| style="text-align:center;" | Septimal Semicomma
| style="text-align:center;" | Starling Comma
| style="text-align:center;" | Starling Comma
Line 287: Line 300:
| |<nowiki> | 5 -4 3 -2 </nowiki>&gt;
| |<nowiki> | 5 -4 3 -2 </nowiki>&gt;
| style="text-align:right;" | 13.47
| style="text-align:right;" | 13.47
| style="text-align:center;" |Rurutriyo
| style="text-align:center;" | Octagar
| style="text-align:center;" | Octagar
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 294: Line 308:
| |<nowiki> | -10 1 0 3 </nowiki>&gt;
| |<nowiki> | -10 1 0 3 </nowiki>&gt;
| style="text-align:right;" | 8.43
| style="text-align:right;" | 8.43
| style="text-align:center;" |Latrizo
| style="text-align:center;" | Gamelisma
| style="text-align:center;" | Gamelisma
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 301: Line 316:
| |<nowiki> | 11 1 -3 -2 </nowiki>&gt;
| |<nowiki> | 11 1 -3 -2 </nowiki>&gt;
| style="text-align:right;" | 5.36
| style="text-align:right;" | 5.36
| style="text-align:center;" |Saruru-atrigu
| style="text-align:center;" | Porwell
| style="text-align:center;" | Porwell
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 308: Line 324:
| |<nowiki> | -4 6 -6 3 </nowiki>&gt;
| |<nowiki> | -4 6 -6 3 </nowiki>&gt;
| style="text-align:right;" | 0.33
| style="text-align:right;" | 0.33
| style="text-align:center;" |Trizogugu
| style="text-align:center;" | Landscape Comma
| style="text-align:center;" | Landscape Comma
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 315: Line 332:
| |<nowiki> | 2 -2 2 0 -1 </nowiki>&gt;
| |<nowiki> | 2 -2 2 0 -1 </nowiki>&gt;
| style="text-align:right;" | 17.40
| style="text-align:right;" | 17.40
| style="text-align:center;" |Luyoyo
| style="text-align:center;" | Ptolemisma
| style="text-align:center;" | Ptolemisma
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 322: Line 340:
| |<nowiki> | -3 -1 -1 0 2 </nowiki>&gt;
| |<nowiki> | -3 -1 -1 0 2 </nowiki>&gt;
| style="text-align:right;" | 14.37
| style="text-align:right;" | 14.37
| style="text-align:center;" |Lologu
| style="text-align:center;" | Biyatisma
| style="text-align:center;" | Biyatisma
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 329: Line 348:
| |<nowiki> | 4 0 -2 -1 1 </nowiki>&gt;
| |<nowiki> | 4 0 -2 -1 1 </nowiki>&gt;
| style="text-align:right;" | 9.86
| style="text-align:right;" | 9.86
| style="text-align:center;" |Lorugugu
| style="text-align:center;" | Valinorsma
| style="text-align:center;" | Valinorsma
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 336: Line 356:
| |<nowiki> | 16 0 0 -2 -3 </nowiki>&gt;
| |<nowiki> | 16 0 0 -2 -3 </nowiki>&gt;
| style="text-align:right;" | 8.39
| style="text-align:right;" | 8.39
| style="text-align:center;" |Satrilu-aruru
| style="text-align:center;" | Orgonisma
| style="text-align:center;" | Orgonisma
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 343: Line 364:
| |<nowiki> | -7 -1 1 1 1 </nowiki>&gt;
| |<nowiki> | -7 -1 1 1 1 </nowiki>&gt;
| style="text-align:right;" | 4.50
| style="text-align:right;" | 4.50
| style="text-align:center;" |Lozoyo
| style="text-align:center;" | Keenanisma
| style="text-align:center;" | Keenanisma
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 350: Line 372:
| |<nowiki> | -3 2 -1 2 -1 </nowiki>&gt;
| |<nowiki> | -3 2 -1 2 -1 </nowiki>&gt;
| style="text-align:right;" | 3.93
| style="text-align:right;" | 3.93
| style="text-align:center;" |Luzozogu
| style="text-align:center;" | Werckisma
| style="text-align:center;" | Werckisma
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 357: Line 380:
| |<nowiki> | 5 -1 3 0 -3 </nowiki>&gt;
| |<nowiki> | 5 -1 3 0 -3 </nowiki>&gt;
| style="text-align:right;" | 3.03
| style="text-align:right;" | 3.03
| style="text-align:center;" |Triluyo
| style="text-align:center;" | Wizardharry
| style="text-align:center;" | Wizardharry
| style="text-align:center;" |  
| style="text-align:center;" |  
Line 364: Line 388:
| |<nowiki> | -4 -3 2 -1 2 </nowiki>&gt;
| |<nowiki> | -4 -3 2 -1 2 </nowiki>&gt;
| style="text-align:right;" | 0.57
| style="text-align:right;" | 0.57
| style="text-align:center;" |Loloruyoyo
| style="text-align:center;" | Lehmerisma
| style="text-align:center;" | Lehmerisma
| style="text-align:center;" |  
| style="text-align:center;" |  

Revision as of 21:35, 14 December 2019

Theory

The 30 equal division divides the octave into 30 equal steps of precisely 40 cents each. Its patent val is a doubled version of the patent val for 15edo through the 11-limit, so 30 can be viewed as a contorted version of 15. In the 13-limit it supplies the optimal patent val for quindecic temperament.

However, 5\30 is 200 cents, which is a good (and familiar) approximation for 9/8, and hence 30 can be viewed inconsistently, as having a 9' at 95\30 as well as a 9 at 96\30. Instead of the 18\30 fifth of 720 cents, 30 also makes available a 17\30 fifth of 680 cents. This is an ideal tuning for pelogic (5-limit mavila), which tempers out 135/128. When 30 is used for pelogic, 5\30 can again be used inconsistently as a 9/8.

Below is a plot of the Z function around 30:

plot30.png

Intervals

Step Cents ups and downs notation
0 0¢ P1 unison, minor 2nd D, Eb
1 40 ^1, ^m2 up unison, upminor 2nd ^D, ^Eb
2 80 ^^1, v~2 double-up unison, downmid 2nd ^^D, ^^Eb
3 120 ~2 mid 2nd v3E
4 160 ^~2 upmid 2nd vvE
5 200 vM2 downmajor 2nd vE
6 240 M2, m3 major 2nd, minor 3rd E, F
7 280 ^m3 upminor 3rd ^F
8 320 v~3 downmid 3rd ^^F
9 360 ~3 mid 3rd ^3F, v3F#
10 400 ^~3 upmid 3rd vvF#
11 440 vM3, v4 downmajor 3rd, down 4th vF#, vG
12 480 P4 major 3rd, perfect 4th F#, G
13 520 ^4, ^d5 up 4th, updim 5th ^G, ^Ab
14 560 v~4, v~d5 downmid 4th, downmid 5th ^^G, ^^Ab
15 600 ~4, ~5 mid 4th, mid 5th ^3G, v3A
16 640 ^~A4, ^~5 upmid 4th, upmid 5th vvG#, vvA
17 680 vA4, v5 downaug 4th, down 5th vG#, vA
18 720 P5 perfect 5th, minor 6th A, Bb
19 760 ^5, ^m6 up 5th, upminor 6th ^A, ^Bb
20 800 v~6 downmid 6th ^^Bb
21 840 ~6 mid 6th v3B
22 880 ^~6 upmid 6th vvB
23 920 vM6 downmajor 6th vB
24 960 M6. m7 major 6th, minor 7th B, C
25 1000 ^m7 upminor 7th ^C
26 1040 v~7 downmid 7th ^^C
27 1080 ~7 mid 7th ^3C
28 1120 ^~7, vv8 upmid 7th, double-down 8ve vvC#, vvD
29 1160 vM7, v8 downmajor 7th, down 8ve vC#, vD
30 1200 P8 major 7th, 8ve C#, D

Commas

30 EDO tempers out the following commas. (Note: This assumes the val < 30 48 70 84 104 111 | .)

Ratio Monzo Cents Color Name Name 1 Name 2 Name 3
256/243 | 8 -5 > 90.22 Sawa Limma Pythagorean Minor 2nd
250/243 | 1 -5 3 > 49.17 Triyo Maximal Diesis Porcupine Comma
128/125 | 7 0 -3 > 41.06 Trigu Diesis Augmented Comma
15625/15552 | -6 -5 6 > 8.11 Tribiyo Kleisma Semicomma Majeur
1029/1000 | -3 1 -3 3 > 49.49 Trizogu Keega
49/48 | -4 -1 0 2 > 35.70 Zozo Slendro Diesis
64/63 | 6 -2 0 -1 > 27.26 Ru Septimal Comma Archytas' Comma Leipziger Komma
64827/64000 | -9 3 -3 4 > 22.23 Laquadzo-atrigu Squalentine
875/864 | -5 -3 3 1 > 21.90 Zotriyo Keema
126/125 | 1 2 -3 1 > 13.79 Zotrigu Septimal Semicomma Starling Comma
4000/3969 | 5 -4 3 -2 > 13.47 Rurutriyo Octagar
1029/1024 | -10 1 0 3 > 8.43 Latrizo Gamelisma
6144/6125 | 11 1 -3 -2 > 5.36 Saruru-atrigu Porwell
250047/250000 | -4 6 -6 3 > 0.33 Trizogugu Landscape Comma
100/99 | 2 -2 2 0 -1 > 17.40 Luyoyo Ptolemisma
121/120 | -3 -1 -1 0 2 > 14.37 Lologu Biyatisma
176/175 | 4 0 -2 -1 1 > 9.86 Lorugugu Valinorsma
65536/65219 | 16 0 0 -2 -3 > 8.39 Satrilu-aruru Orgonisma
385/384 | -7 -1 1 1 1 > 4.50 Lozoyo Keenanisma
441/440 | -3 2 -1 2 -1 > 3.93 Luzozogu Werckisma
4000/3993 | 5 -1 3 0 -3 > 3.03 Triluyo Wizardharry
3025/3024 | -4 -3 2 -1 2 > 0.57 Loloruyoyo Lehmerisma

Music

Fifteen Short Pieces by Todd Harrop

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