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→Intervals: added my solfege. Fixed an obvious mistake in the other solfege (Andrew Heathwaite's?) where both vm6 and ^M6 were named Lo. Changed Lo to Li to match his 41edo solfege.
Line 27: Line 27:


== Intervals ==
== Intervals ==
{| class="wikitable center-all right-3 left-4 left-6"
{| class="wikitable center-all right-2 left-3 left-5"
|-
|-
! #
! #
! Solfege
! Cents
! Cents
! Approximate ratios*
! Approximate ratios*
! colspan="3" | [[Ups and downs notation]]
! colspan="3" | [[Ups and downs notation]]
! colspan="2" |[[53edo solfege|Solfeges]]
|-
|-
| 0
| 0
| do
| 0.00
| 0.00
| [[1/1]]
| [[1/1]]
Line 42: Line 41:
| unison
| unison
| D
| D
|Da
| Do
|-
|-
| 1
| 1
| di
| 22.64
| 22.64
| [[81/80]], [[64/63]], [[50/49]]
| [[81/80]], [[64/63]], [[50/49]]
Line 50: Line 50:
| up unison
| up unison
| ^D
| ^D
|Du
| Di
|-
|-
| 2
| 2
| daw
| 45.28
| 45.28
| [[49/48]], [[36/35]], [[33/32]], [[128/125]]
| [[49/48]], [[36/35]], [[33/32]], [[128/125]]
Line 58: Line 59:
| double-up unison, <br>double-down minor 2nd
| double-up unison, <br>double-down minor 2nd
| ^^D, <br>vvEb
| ^^D, <br>vvEb
|De/Fre
| Daw
|-
|-
| 3
| 3
| ro
| 67.92
| 67.92
| [[25/24]], [[28/27]], [[22/21]], [[27/26]], [[26/25]]
| [[25/24]], [[28/27]], [[22/21]], [[27/26]], [[26/25]]
| vm2
| vvA1,<br>vm2
| downminor 2nd
| double-down aug 1sn,<br>downminor 2nd
| vEb
| vvD#,<br>vEb
|Fro
| Ro
|-
|-
| 4
| 4
| rih
| 90.57
| 90.57
| [[19/18]], [[20/19]], [[21/20]], [[256/243]]
| [[19/18]], [[20/19]], [[21/20]], [[256/243]]
| m2
| vA1, m2
| minor 2nd
| downaug 1sn, minor 2nd
| Eb
| vD#, Eb
|Fra
| Rih
|-
|-
| 5
| 5
| ra
| 113.21
| 113.21
| [[16/15]], [[15/14]]
| [[16/15]], [[15/14]]
| ^m2
| A1, ^m2
| upminor 2nd
| aug 1sn, upminor 2nd
| ^Eb
| D#, ^Eb
|Fru
| Ra
|-
|-
| 6
| 6
| ru
| 135.85
| 135.85
| [[14/13]], [[13/12]], [[27/25]]
| [[14/13]], [[13/12]], [[27/25]]
Line 90: Line 95:
| downmid 2nd
| downmid 2nd
| ^^Eb
| ^^Eb
|Fri
| Ru
|-
|-
| 7
| 7
| ruh
| 158.49
| 158.49
| [[35/32]], [[12/11]], [[11/10]], [[57/52]], [[800/729]]
| [[35/32]], [[12/11]], [[11/10]], [[57/52]], [[800/729]]
Line 98: Line 104:
| upmid 2nd
| upmid 2nd
| vvE
| vvE
|Ri
| Ruh
|-
|-
| 8
| 8
| reh
| 181.13
| 181.13
| [[10/9]]
| [[10/9]]
Line 106: Line 113:
| downmajor 2nd
| downmajor 2nd
| vE
| vE
|Ro
| Reh
|-
|-
| 9
| 9
| re
| 203.77
| 203.77
| [[9/8]]
| [[9/8]]
Line 114: Line 122:
| major 2nd
| major 2nd
| E
| E
|Ra
| Re
|-
|-
| 10
| 10
| ri
| 226.42
| 226.42
| [[8/7]], [[256/225]]
| [[8/7]], [[256/225]]
Line 122: Line 131:
| upmajor 2nd
| upmajor 2nd
| ^E
| ^E
|Ru
| Ri
|-
|-
| 11
| 11
| raw
| 249.06
| 249.06
| [[15/13]], [[144/125]]
| [[15/13]], [[144/125]]
Line 130: Line 140:
| double-up major 2nd, <br>double-down minor 3rd
| double-up major 2nd, <br>double-down minor 3rd
| ^^E, <br>vvF
| ^^E, <br>vvF
|Re / Ne
| Raw
|-
|-
| 12
| 12
| ma
| 271.70
| 271.70
| [[7/6]], [[75/64]]
| [[7/6]], [[75/64]]
Line 138: Line 149:
| downminor 3rd
| downminor 3rd
| vF
| vF
|No
| Ma
|-
|-
| 13
| 13
| meh
| 294.34
| 294.34
| [[13/11]], [[19/16]], [[32/27]]
| [[13/11]], [[19/16]], [[32/27]]
Line 146: Line 158:
| minor 3rd
| minor 3rd
| F
| F
|Na
| Meh
|-
|-
| 14
| 14
| me
| 316.98
| 316.98
| [[6/5]]
| [[6/5]]
Line 154: Line 167:
| upminor 3rd
| upminor 3rd
| ^F
| ^F
|Nu
| Me
|-
|-
| 15
| 15
| mu
| 339.62
| 339.62
| [[11/9]], [[243/200]]
| [[11/9]], [[243/200]]
Line 162: Line 176:
| downmid 3rd
| downmid 3rd
| ^^F
| ^^F
|Ni
| Mu
|-
|-
| 16
| 16
| muh
| 362.26
| 362.26
| [[16/13]], [[100/81]]
| [[16/13]], [[100/81]]
Line 170: Line 185:
| upmid 3rd
| upmid 3rd
| vvF#
| vvF#
|Mi
| Muh
|-
|-
| 17
| 17
| mi
| 384.91
| 384.91
| [[5/4]]
| [[5/4]]
Line 178: Line 194:
| downmajor 3rd
| downmajor 3rd
| vF#
| vF#
|Mo
| Mi
|-
|-
| 18
| 18
| maa
| 407.55
| 407.55
| [[19/15]], [[24/19]], [[81/64]]
| [[19/15]], [[24/19]], [[81/64]]
Line 186: Line 203:
| major 3rd
| major 3rd
| F#
| F#
|Ma
| Maa
|-
|-
| 19
| 19
| mo
| 430.19
| 430.19
| [[9/7]], ''[[14/11]]''
| [[9/7]], ''[[14/11]]''
Line 194: Line 212:
| upmajor 3rd
| upmajor 3rd
| ^F#
| ^F#
|Mu
| Mo
|-
|-
| 20
| 20
| maw
| 452.83
| 452.83
| [[13/10]], [[125/96]]
| [[13/10]], [[125/96]]
Line 202: Line 221:
| double-up major 3rd, <br>double-down 4th
| double-up major 3rd, <br>double-down 4th
| ^^F#, <br>vvG
| ^^F#, <br>vvG
|Me / Fe
| Maw
|-
|-
| 21
| 21
| fe
| 475.47
| 475.47
| [[21/16]], [[25/19]], [[675/512]], [[320/243]]
| [[21/16]], [[25/19]], [[675/512]], [[320/243]]
Line 210: Line 230:
| down 4th
| down 4th
| vG
| vG
|Fo
| Fe
|-
|-
| 22
| 22
| fa
| 498.11
| 498.11
| [[4/3]]
| [[4/3]]
Line 218: Line 239:
| perfect 4th
| perfect 4th
| G
| G
|Fa
| Fa
|-
|-
| 23
| 23
| fih
| 520.75
| 520.75
| [[27/20]]
| [[27/20]]
Line 226: Line 248:
| up 4th
| up 4th
| ^G
| ^G
|Fu
| Fih
|-
|-
| 24
| 24
| fu
| 543.40
| 543.40
| [[11/8]], [[15/11]], [[26/19]]
| [[11/8]], [[15/11]], [[26/19]]
Line 234: Line 257:
| downmid 4th
| downmid 4th
| ^^G
| ^^G
|Fi / She
| Fu
|-
|-
| 25
| 25
| fuh
| 566.04
| 566.04
| [[18/13]]
| [[18/13]]
Line 242: Line 266:
| upmid 4th, <br>downdim 5th
| upmid 4th, <br>downdim 5th
| vvG#, <br>vAb
| vvG#, <br>vAb
|Pi / Sho
| Fuh
|-
|-
| 26
| 26
| fi
| 588.68
| 588.68
| [[7/5]], [[45/32]]
| [[7/5]], [[45/32]]
Line 250: Line 275:
| downaug 4th, <br>dim 5th
| downaug 4th, <br>dim 5th
| vG#, <br>Ab
| vG#, <br>Ab
|Po / Sha
| Fi
|-
|-
| 27
| 27
| se
| 611.32
| 611.32
| [[10/7]], [[64/45]]
| [[10/7]], [[64/45]]
Line 258: Line 284:
| aug 4th, <br>updim 5th
| aug 4th, <br>updim 5th
| G#, <br>^Ab
| G#, <br>^Ab
|Pa / Shu
| Se
|-
|-
| 28
| 28
| suh
| 633.96
| 633.96
| [[13/9]]
| [[13/9]]
Line 266: Line 293:
| upaug 4th, <br>downmid 5th
| upaug 4th, <br>downmid 5th
| ^G#, <br>^^Ab
| ^G#, <br>^^Ab
|Pu / Shi
| Suh
|-
|-
| 29
| 29
| su
| 656.60
| 656.60
| [[16/11]], [[19/13]], [[22/15]]
| [[16/11]], [[19/13]], [[22/15]]
Line 274: Line 302:
| upmid 5th
| upmid 5th
| vvA
| vvA
|Pe / Si
| Su
|-
|-
| 30
| 30
| sih
| 679.25
| 679.25
| [[40/27]]
| [[40/27]]
Line 282: Line 311:
| down 5th
| down 5th
| vA
| vA
|So
| Sih
|-
|-
| 31
| 31
| sol
| 701.89
| 701.89
| [[3/2]]
| [[3/2]]
Line 290: Line 320:
| perfect 5th
| perfect 5th
| A
| A
|Sa
| Sol
|-
|-
| 32
| 32
| si
| 724.53
| 724.53
| [[32/21]], [[38/25]], [[243/160]], [[1024/675]]
| [[32/21]], [[38/25]], [[243/160]], [[1024/675]]
Line 298: Line 329:
| up 5th
| up 5th
| ^A
| ^A
|Su
| Si
|-
|-
| 33
| 33
| saw
| 747.17
| 747.17
| [[20/13]], [[192/125]]
| [[20/13]], [[192/125]]
Line 306: Line 338:
| double-up 5th, <br>double-down minor 6th
| double-up 5th, <br>double-down minor 6th
| ^^A, <br>vvBb
| ^^A, <br>vvBb
|Se / Fle
| Saw
|-
|-
| 34
| 34
| lo
| 769.81
| 769.81
| [[14/9]], [[25/16]], ''[[11/7]]''
| [[14/9]], [[25/16]], ''[[11/7]]''
Line 314: Line 347:
| downminor 6th
| downminor 6th
| vBb
| vBb
|Flo
| Lo
|-
|-
| 35
| 35
| leh
| 792.45
| 792.45
| [[19/12]], [[30/19]], [[128/81]]
| [[19/12]], [[30/19]], [[128/81]]
Line 322: Line 356:
| minor 6th
| minor 6th
| Bb
| Bb
|Fla
| Leh
|-
|-
| 36
| 36
| le
| 815.09
| 815.09
| [[8/5]]
| [[8/5]]
Line 330: Line 365:
| upminor 6th
| upminor 6th
| ^Bb
| ^Bb
|Flu
| Le
|-
|-
| 37
| 37
| lu
| 837.74
| 837.74
| [[13/8]], [[81/50]]
| [[13/8]], [[81/50]]
Line 338: Line 374:
| downmid 6th
| downmid 6th
| ^^Bb
| ^^Bb
|Fli
| Lu
|-
|-
| 38
| 38
| luh
| 860.38
| 860.38
| [[18/11]], [[400/243]]
| [[18/11]], [[400/243]]
Line 346: Line 383:
| upmid 6th
| upmid 6th
| vvB
| vvB
|Li
| Luh
|-
|-
| 39
| 39
| la
| 883.02
| 883.02
| [[5/3]]
| [[5/3]]
Line 354: Line 392:
| downmajor 6th
| downmajor 6th
| vB
| vB
|Lo
| La
|-
|-
| 40
| 40
| laa
| 905.66
| 905.66
| [[22/13]], [[27/16]], [[32/19]]
| [[22/13]], [[27/16]], [[32/19]]
Line 362: Line 401:
| major 6th
| major 6th
| B
| B
|La
| Laa
|-
|-
| 41
| 41
| lo
| 928.30
| 928.30
| [[12/7]]
| [[12/7]]
Line 370: Line 410:
| upmajor 6th
| upmajor 6th
| ^B
| ^B
|Lu
| Li
|-
|-
| 42
| 42
| law
| 950.94
| 950.94
| [[26/15]], [[125/72]]
| [[26/15]], [[125/72]]
Line 378: Line 419:
| double-up major 6th, <br>double-down minor 7th
| double-up major 6th, <br>double-down minor 7th
| ^^B, <br>vvC
| ^^B, <br>vvC
|Le / The
| Law
|-
|-
| 43
| 43
| ta
| 973.58
| 973.58
| [[7/4]]
| [[7/4]]
Line 386: Line 428:
| downminor 7th
| downminor 7th
| vC
| vC
|Tho
| Ta
|-
|-
| 44
| 44
| teh
| 996.23
| 996.23
| [[16/9]]
| [[16/9]]
Line 394: Line 437:
| minor 7th
| minor 7th
| C
| C
|Tha
| Teh
|-
|-
| 45
| 45
| te
| 1018.87
| 1018.87
| [[9/5]]
| [[9/5]]
Line 402: Line 446:
| upminor 7th
| upminor 7th
| ^C
| ^C
|Thu
| Te
|-
|-
| 46
| 46
| tu
| 1041.51
| 1041.51
| [[64/35]], [[11/6]], [[20/11]], [[729/400]]
| [[64/35]], [[11/6]], [[20/11]], [[729/400]]
Line 410: Line 455:
| downmid 7th
| downmid 7th
| ^^C
| ^^C
|Thi
| Tu
|-
|-
| 47
| 47
| tuh
| 1064.15
| 1064.15
| [[13/7]], [[24/13]], [[50/27]]
| [[13/7]], [[24/13]], [[50/27]]
Line 418: Line 464:
| upmid 7th
| upmid 7th
| vvC#
| vvC#
|Ti
| Tuh
|-
|-
| 48
| 48
| ti
| 1086.79
| 1086.79
| [[15/8]]
| [[15/8]]
Line 426: Line 473:
| downmajor 7th
| downmajor 7th
| vC#
| vC#
|To
| Ti
|-
|-
| 49
| 49
| tih
| 1109.43
| 1109.43
| [[19/10]], [[36/19]], [[40/21]], [[243/128]]
| [[19/10]], [[36/19]], [[40/21]], [[243/128]]
Line 434: Line 482:
| major 7th
| major 7th
| C#
| C#
|Ta
| Tih
|-
|-
| 50
| 50
| to
| 1132.08
| 1132.08
| [[48/25]], [[27/14]], [[21/11]], [[52/27]], [[25/13]]
| [[48/25]], [[27/14]], [[21/11]], [[52/27]], [[25/13]]
Line 442: Line 491:
| upmajor 7th
| upmajor 7th
| ^C#
| ^C#
|Tu
| To
|-
|-
| 51
| 51
| taw
| 1154.72
| 1154.72
| [[96/49]], [[35/18]], [[64/33]], [[125/64]]
| [[96/49]], [[35/18]], [[64/33]], [[125/64]]
Line 450: Line 500:
| double-up major 7th, <br>double-down 8ve
| double-up major 7th, <br>double-down 8ve
| ^^C#, <br>vvD
| ^^C#, <br>vvD
|Te / Di
| Taw
|-
|-
| 52
| 52
| da
| 1177.36
| 1177.36
| [[160/81]], [[63/32]], [[49/25]]
| [[160/81]], [[63/32]], [[49/25]]
Line 458: Line 509:
| down 8ve
| down 8ve
| vD
| vD
|Do
| Da
|-
|-
| 53
| 53
| do
| 1200.00
| 1200.00
| [[2/1]]
| [[2/1]]
Line 466: Line 518:
| perfect 8ve
| perfect 8ve
| D
| D
|Da
| Do
|}
|}
<nowiki>*</nowiki> Based on interpreting 53edo as a no-17's [[19-limit]] temperament. Italics represent inconsistent intervals which are mapped by the 19-limit [[patent val]] to their second-best (as opposed to best) approximation in 53edo.  
<nowiki>*</nowiki> Based on interpreting 53edo as a no-17's [[19-limit]] temperament. Italics represent inconsistent intervals which are mapped by the 19-limit [[patent val]] to their second-best (as opposed to best) approximation in 53edo.  
Line 930: Line 984:
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Bach WTC1 Prelude 1 in 53] by Bach and [[Mykhaylo Khramov]]
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/prelude1-53.mp3 Bach WTC1 Prelude 1 in 53] by Bach and [[Mykhaylo Khramov]]
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/fugue1-53.mp3 Bach WTC1 Fugue 1 in 53] by Bach and Mykhaylo Khramov
* [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Khramov/fugue1-53.mp3 Bach WTC1 Fugue 1 in 53] by Bach and Mykhaylo Khramov
* [http://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html Whisper Song in 53EDO] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Prent/sing53-c5-slow.mp3 play] by [[Prent Rodgers]]
* [https://bumpermusic.blogspot.com/2007/05/whisper-song-in-53-edo-now-526-slower.html Whisper Song in 53EDO] [http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Prent/sing53-c5-slow.mp3 play] by [[Prent Rodgers]]
* [http://www.archive.org/details/TrioInOrwell Trio in Orwell] [http://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] by [[Gene Ward Smith]]
* [https://www.archive.org/details/TrioInOrwell Trio in Orwell] [https://www.archive.org/download/TrioInOrwell/TrioInOrwell.mp3 play] by [[Gene Ward Smith]]
* [http://www.akjmusic.com/audio/desert_prayer.mp3 Desert Prayer] by [http://www.akjmusic.com/ Aaron Krister Johnson]
* [http://www.akjmusic.com/audio/desert_prayer.mp3 Desert Prayer] by [http://www.akjmusic.com/ Aaron Krister Johnson]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/sing53-c5-slow.mp3 Whisper Song in 53 EDO] by [[Prent Rodgers]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/sing53-c5-slow.mp3 Whisper Song in 53 EDO] by [[Prent Rodgers]]
* [http://andrewheathwaite.bandcamp.com/track/elf-dine-on-ho-ho Elf Dine on Ho Ho] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2005%20Elf%20Dine%20on%20Ho%20Ho.mp3 play] and [http://andrewheathwaite.bandcamp.com/track/spun Spun] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2008%20Spun.mp3 play] by [[Andrew Heathwaite]]
* [https://andrewheathwaite.bandcamp.com/track/elf-dine-on-ho-ho Elf Dine on Ho Ho] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2005%20Elf%20Dine%20on%20Ho%20Ho.mp3 play] and [https://andrewheathwaite.bandcamp.com/track/spun Spun] [http://micro.soonlabel.com/gene_ward_smith/Others/Heathwaite/Newbeams/Andrew%20Heathwaite%20-%20Newbeams%20-%2008%20Spun.mp3 play] by [[Andrew Heathwaite]]
* [http://chrisvaisvil.com/the-fallen-of-kleismic15/ The Fallen of Kleismic15][http://micro.soonlabel.com/53edo/20130903_Kleismic%5b15%5d.mp3 play] by [[Chris Vaisvil]]
* [http://chrisvaisvil.com/the-fallen-of-kleismic15/ The Fallen of Kleismic15][http://micro.soonlabel.com/53edo/20130903_Kleismic%5b15%5d.mp3 play] by [[Chris Vaisvil]]
* [https://soundcloud.com/cam-taylor-2-1/mothers mothers] by [[Cam Taylor]]
* [https://soundcloud.com/cam-taylor-2-1/mothers mothers] by [[Cam Taylor]]
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