Xenharmonic Wiki

46edo: Difference between revisions

← Older editNewer edit →
VisualWikitext
m The ratio of supermajor chord was wrong!
Fill the interval table with some ratios of 17 and 23; remove ratios of 15 and rewrite the part that explains it
Line 15: Line 15:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | degree
! |  
! | cents
! | Cents
! | solfege
! | Approximate Ratios<nowiki>*</nowiki>
! colspan="3" | [[Ups_and_Downs_Notation|ups and downs notation]]
! colspan="3" | [[Ups_and_Downs_Notation|Ups and Downs Notation]]
! | approximate ratios
! | Solfege
 
in the [[17-limit|17-limit]]
|-
|-
| style="text-align:center;" | 0
| style="text-align:center;" | 0
| 0.000
| 0.000
| style="text-align:center;" | do
| | [[1/1]]
| style="text-align:center;" | perfect unison
| style="text-align:center;" | perfect unison
| style="text-align:center;" | P1
| style="text-align:center;" | P1
| style="text-align:center;" | D
| style="text-align:center;" | D
| | 1/1
| style="text-align:center;" | do
|-
|-
| style="text-align:center;" | 1
| style="text-align:center;" | 1
| | 26.087
| | 26.087
| style="text-align:center;" | di
| |[[81/80]], [[64/63]]
| style="text-align:center;" | up unison
| style="text-align:center;" | up unison
| style="text-align:center;" | ^1
| style="text-align:center;" | ^1
| style="text-align:center;" | ^D
| style="text-align:center;" | ^D
| |  
| style="text-align:center;" | di
|-
|-
| style="text-align:center;" | 2
| style="text-align:center;" | 2
| | 52.174
| | 52.174
| style="text-align:center;" | ro
| | [[28/27]], [[33/32]]
| style="text-align:center;" | downminor 2nd
| style="text-align:center;" | downminor 2nd
| style="text-align:center;" | vm2
| style="text-align:center;" | vm2
| style="text-align:center;" | vEb
| style="text-align:center;" | vEb
| |  
| style="text-align:center;" | ro
|-
|-
| style="text-align:center;" | 3
| style="text-align:center;" | 3
| | 78.261
| | 78.261
| style="text-align:center;" | rih
| | [[25/24]], [[21/20]], [[22/21]], [[24/23]], [[23/22]]
| style="text-align:center;" | minor 2nd
| style="text-align:center;" | minor 2nd
| style="text-align:center;" | m2
| style="text-align:center;" | m2
| style="text-align:center;" | Eb
| style="text-align:center;" | Eb
| |  
| style="text-align:center;" | rih
|-
|-
| style="text-align:center;" | 4
| style="text-align:center;" | 4
| | 104.348
| | 104.348
| style="text-align:center;" | ra
| | [[16/15]], [[17/16]], [[18/17]]
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | upminor 2nd
| style="text-align:center;" | ^m2
| style="text-align:center;" | ^m2
| style="text-align:center;" | ^Eb
| style="text-align:center;" | ^Eb
| | 16/15, 17/16, 18/17
| style="text-align:center;" | ra
|-
|-
| style="text-align:center;" | 5
| style="text-align:center;" | 5
| | 130.435
| | 130.435
| style="text-align:center;" | ru (as in supraminor)
| | [[13/12]], [[14/13]], [[15/14]]
| style="text-align:center;" | downmid 2nd
| style="text-align:center;" | downmid 2nd
| style="text-align:center;" | v~2
| style="text-align:center;" | v~2
| style="text-align:center;" | ^^Eb
| style="text-align:center;" | ^^Eb
| | 13/12, 14/13, 15/14
| style="text-align:center;" | ru (as in supraminor)
|-
|-
| style="text-align:center;" | 6
| style="text-align:center;" | 6
| | 156.522
| | 156.522
| style="text-align:center;" | ruh (as in submajor)
| | [[12/11]], [[11/10]], [[23/21]]
| style="text-align:center;" | upmid 2nd
| style="text-align:center;" | upmid 2nd
| style="text-align:center;" | ^~2
| style="text-align:center;" | ^~2
| style="text-align:center;" | vvE
| style="text-align:center;" | vvE
| | 12/11, 11/10
| style="text-align:center;" | ruh (as in submajor)
|-
|-
| style="text-align:center;" | 7
| style="text-align:center;" | 7
| | 182.609
| | 182.609
| style="text-align:center;" | reh
| | [[10/9]]
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | downmajor 2nd
| style="text-align:center;" | vM2
| style="text-align:center;" | vM2
| style="text-align:center;" | vE
| style="text-align:center;" | vE
| | 10/9
| style="text-align:center;" | reh
|-
|-
| style="text-align:center;" | 8
| style="text-align:center;" | 8
| | 208.696
| | 208.696
| style="text-align:center;" | re
| | [[9/8]]
| style="text-align:center;" | major 2nd
| style="text-align:center;" | major 2nd
| style="text-align:center;" | M2
| style="text-align:center;" | M2
| style="text-align:center;" | E
| style="text-align:center;" | E
| | 9/8, 17/15
| style="text-align:center;" | re
|-
|-
| style="text-align:center;" | 9
| style="text-align:center;" | 9
| | 234.783
| | 234.783
| style="text-align:center;" | ri
| | [[8/7]], [[23/20]]
| style="text-align:center;" | upmajor 2nd
| style="text-align:center;" | upmajor 2nd
| style="text-align:center;" | ^M2
| style="text-align:center;" | ^M2
| style="text-align:center;" | ^E
| style="text-align:center;" | ^E
| | 8/7, 15/13*
| style="text-align:center;" | ri
|-
|-
| style="text-align:center;" | 10
| style="text-align:center;" | 10
| | 260.87
| | 260.87
| style="text-align:center;" | ma
| | [[7/6]]
| style="text-align:center;" | downminor 3rd
| style="text-align:center;" | downminor 3rd
| style="text-align:center;" | vm3
| style="text-align:center;" | vm3
| style="text-align:center;" | vF
| style="text-align:center;" | vF
| | 7/6, 15/13*
| style="text-align:center;" | ma
|-
|-
| style="text-align:center;" | 11
| style="text-align:center;" | 11
| | 286.957
| | 286.957
| style="text-align:center;" | meh
| | [[13/11]], [[20/17]]
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | minor 3rd
| style="text-align:center;" | m3
| style="text-align:center;" | m3
| style="text-align:center;" | F
| style="text-align:center;" | F
| | 13/11, 20/17
| style="text-align:center;" | meh
|-
|-
| style="text-align:center;" | 12
| style="text-align:center;" | 12
| | 313.043
| | 313.043
| style="text-align:center;" | me
| | [[6/5]]
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | upminor 3rd
| style="text-align:center;" | ^m3
| style="text-align:center;" | ^m3
| style="text-align:center;" | ^F
| style="text-align:center;" | ^F
| | 6/5
| style="text-align:center;" | me
|-
|-
| style="text-align:center;" | 13
| style="text-align:center;" | 13
| | 339.13
| | 339.13
| style="text-align:center;" | mu
| | [[11/9]], [[17/14]]
| style="text-align:center;" | downmid 3rd
| style="text-align:center;" | downmid 3rd
| style="text-align:center;" | v~3
| style="text-align:center;" | v~3
| style="text-align:center;" | ^^F
| style="text-align:center;" | ^^F
| | 11/9, 17/14
| style="text-align:center;" | mu
|-
|-
| style="text-align:center;" | 14
| style="text-align:center;" | 14
| | 365.217
| | 365.217
| style="text-align:center;" | muh
| | [[16/13]], [[26/21]], [[21/17]]
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | upmid 3rd
| style="text-align:center;" | ^~3
| style="text-align:center;" | ^~3
| style="text-align:center;" | vvF#
| style="text-align:center;" | vvF#
| | 16/13
| style="text-align:center;" | muh
|-
|-
| style="text-align:center;" | 15
| style="text-align:center;" | 15
| | 391.304
| | 391.304
| style="text-align:center;" | mi
| | [[5/4]]
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | downmajor 3rd
| style="text-align:center;" | vM3
| style="text-align:center;" | vM3
| style="text-align:center;" | vF#
| style="text-align:center;" | vF#
| | 5/4
| style="text-align:center;" | mi
|-
|-
| style="text-align:center;" | 16
| style="text-align:center;" | 16
| | 417.391
| | 417.391
| style="text-align:center;" | maa
| | [[14/11]], [[23/18]]
| style="text-align:center;" | major 3rd
| style="text-align:center;" | major 3rd
| style="text-align:center;" | M3
| style="text-align:center;" | M3
| style="text-align:center;" | F#
| style="text-align:center;" | F#
| | 14/11
| style="text-align:center;" | maa
|-
|-
| style="text-align:center;" | 17
| style="text-align:center;" | 17
| | 443.478
| | 443.478
| style="text-align:center;" | mo
| | [[9/7]], [[13/10]], [[22/17]]
| style="text-align:center;" | upmajor 3rd
| style="text-align:center;" | upmajor 3rd
| style="text-align:center;" | ^M3
| style="text-align:center;" | ^M3
| style="text-align:center;" | ^F#
| style="text-align:center;" | ^F#
| | 9/7, 13/10, 22/17
| style="text-align:center;" | mo
|-
|-
| style="text-align:center;" | 18
| style="text-align:center;" | 18
| | 469.565
| | 469.565
| style="text-align:center;" | fe
| | [[21/16]], [[17/13]]
| style="text-align:center;" | down 4th
| style="text-align:center;" | down 4th
| style="text-align:center;" | v4
| style="text-align:center;" | v4
| style="text-align:center;" | vG
| style="text-align:center;" | vG
| | 17/13
| style="text-align:center;" | fe
|-
|-
| style="text-align:center;" | 19
| style="text-align:center;" | 19
| | 495.652
| | 495.652
| style="text-align:center;" | fa
| | [[4/3]]
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | perfect 4th
| style="text-align:center;" | P4
| style="text-align:center;" | P4
| style="text-align:center;" | G
| style="text-align:center;" | G
| | 4/3
| style="text-align:center;" | fa
|-
|-
| style="text-align:center;" | 20
| style="text-align:center;" | 20
| | 521.739
| | 521.739
| style="text-align:center;" | fih
| | [[23/17]]
| style="text-align:center;" | up 4th
| style="text-align:center;" | up 4th
| style="text-align:center;" | ^4
| style="text-align:center;" | ^4
| style="text-align:center;" | ^G
| style="text-align:center;" | ^G
| |  
| style="text-align:center;" | fih
|-
|-
| style="text-align:center;" | 21
| style="text-align:center;" | 21
| | 547.826
| | 547.826
| style="text-align:center;" | fu
| | [[11/8]]
| style="text-align:center;" | downmid 4th
| style="text-align:center;" | downmid 4th
| style="text-align:center;" | v~4
| style="text-align:center;" | v~4
| style="text-align:center;" | ^^G
| style="text-align:center;" | ^^G
| | 11/8, 15/11
| style="text-align:center;" | fu
|-
|-
| style="text-align:center;" | 22
| style="text-align:center;" | 22
| | 573.913
| | 573.913
| style="text-align:center;" | fi
| | [[7/5]], [[18/13]], [[32/23]]
| style="text-align:center;" | upmid 4th, dim 5th
| style="text-align:center;" | upmid 4th, dim 5th
| style="text-align:center;" | ^~4, d5
| style="text-align:center;" | ^~4, d5
| style="text-align:center;" | vvG#, Ab
| style="text-align:center;" | vvG#, Ab
| | 7/5, 18/13
| style="text-align:center;" | fi
|-
|-
| style="text-align:center;" | 23
| style="text-align:center;" | 23
| | 600
| | 600
| style="text-align:center;" | seh
| | [[17/12]], [[24/17]]
| style="text-align:center;" | downaug 4th, updim 5th
| style="text-align:center;" | downaug 4th, updim 5th
| style="text-align:center;" | vA4, ^d5
| style="text-align:center;" | vA4, ^d5
| style="text-align:center;" | vG#, ^Ab
| style="text-align:center;" | vG#, ^Ab
| | 17/12, 24/17
| style="text-align:center;" | seh
|-
|-
| style="text-align:center;" | 24
| style="text-align:center;" | 24
| | 626.087
| | 626.087
| style="text-align:center;" | se
| | [[10/7]], [[13/9]], [[23/16]]
| style="text-align:center;" | aug 4th, downmid 5th
| style="text-align:center;" | aug 4th, downmid 5th
| style="text-align:center;" | A4, v~5
| style="text-align:center;" | A4, v~5
| style="text-align:center;" | G#, ^^Ab
| style="text-align:center;" | G#, ^^Ab
| | 10/7, 13/9
| style="text-align:center;" | se
|-
|-
| style="text-align:center;" | 25
| style="text-align:center;" | 25
| | 652.174
| | 652.174
| style="text-align:center;" | su
| | [[16/11]]
| style="text-align:center;" | double-down 5th
| style="text-align:center;" | double-down 5th
| style="text-align:center;" | ^~5
| style="text-align:center;" | ^~5
| style="text-align:center;" | vvA
| style="text-align:center;" | vvA
| | 16/11, 22/15
| style="text-align:center;" | su
|-
|-
| style="text-align:center;" | 26
| style="text-align:center;" | 26
| | 678.261
| | 678.261
| style="text-align:center;" | sih
| | [[34/23]]
| style="text-align:center;" | down 5th
| style="text-align:center;" | down 5th
| style="text-align:center;" | v5
| style="text-align:center;" | v5
| style="text-align:center;" | vA
| style="text-align:center;" | vA
| |  
| style="text-align:center;" | sih
|-
|-
| style="text-align:center;" | 27
| style="text-align:center;" | 27
| | 704.348
| | 704.348
| style="text-align:center;" | sol
| | [[3/2]]
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | perfect 5th
| style="text-align:center;" | P5
| style="text-align:center;" | P5
| style="text-align:center;" | A
| style="text-align:center;" | A
| | 3/2
| style="text-align:center;" | sol
|-
|-
| style="text-align:center;" | 28
| style="text-align:center;" | 28
| | 730.435
| | 730.435
| style="text-align:center;" | si
| | [[32/21]], [[26/17]]
| style="text-align:center;" | up 5th
| style="text-align:center;" | up 5th
| style="text-align:center;" | ^5
| style="text-align:center;" | ^5
| style="text-align:center;" | ^A
| style="text-align:center;" | ^A
| | 26/17
| style="text-align:center;" | si
|-
|-
| style="text-align:center;" | 29
| style="text-align:center;" | 29
| | 756.522
| | 756.522
| style="text-align:center;" | lo
| | [[14/9]], [[20/13]], [[17/11]]
| style="text-align:center;" | downminor 6th
| style="text-align:center;" | downminor 6th
| style="text-align:center;" | vm6
| style="text-align:center;" | vm6
| style="text-align:center;" | vBb
| style="text-align:center;" | vBb
| | 14/9, 20/13, 17/11
| style="text-align:center;" | lo
|-
|-
| style="text-align:center;" | 30
| style="text-align:center;" | 30
| | 782.609
| | 782.609
| style="text-align:center;" | leh
| | [[11/7]]
| style="text-align:center;" | minor 6th
| style="text-align:center;" | minor 6th
| style="text-align:center;" | m6
| style="text-align:center;" | m6
| style="text-align:center;" | Bb
| style="text-align:center;" | Bb
| | 11/7
| style="text-align:center;" | leh
|-
|-
| style="text-align:center;" | 31
| style="text-align:center;" | 31
| | 808.696
| | 808.696
| style="text-align:center;" | le
| | [[8/5]]
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | upminor 6th
| style="text-align:center;" | ^m6
| style="text-align:center;" | ^m6
| style="text-align:center;" | ^Bb
| style="text-align:center;" | ^Bb
| | 8/5
| style="text-align:center;" | le
|-
|-
| style="text-align:center;" | 32
| style="text-align:center;" | 32
| | 834.783
| | 834.783
| style="text-align:center;" | lu
| | [[13/8]], [[21/13]], [[34/21]]
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | downmid 6th
| style="text-align:center;" | v~6
| style="text-align:center;" | v~6
| style="text-align:center;" | ^^Bb
| style="text-align:center;" | ^^Bb
| | 13/8
| style="text-align:center;" | lu
|-
|-
| style="text-align:center;" | 33
| style="text-align:center;" | 33
| | 860.87
| | 860.87
| style="text-align:center;" | luh
| | [[18/11]], [[28/17]], [[23/14]]
| style="text-align:center;" | upmid 6th
| style="text-align:center;" | upmid 6th
| style="text-align:center;" | ^~6
| style="text-align:center;" | ^~6
| style="text-align:center;" | vvB
| style="text-align:center;" | vvB
| | 18/11, 28/17
| style="text-align:center;" | luh
|-
|-
| style="text-align:center;" | 34
| style="text-align:center;" | 34
| | 886.957
| | 886.957
| style="text-align:center;" | la
| | [[5/3]]
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | downmajor 6th
| style="text-align:center;" | vM6
| style="text-align:center;" | vM6
| style="text-align:center;" | vB
| style="text-align:center;" | vB
| | 5/3
| style="text-align:center;" | la
|-
|-
| style="text-align:center;" | 35
| style="text-align:center;" | 35
| | 913.043
| | 913.043
| style="text-align:center;" | laa
| | [[22/13]], [[17/10]]
| style="text-align:center;" | major 6th
| style="text-align:center;" | major 6th
| style="text-align:center;" | M6
| style="text-align:center;" | M6
| style="text-align:center;" | B
| style="text-align:center;" | B
| | 22/13, 17/10
| style="text-align:center;" | laa
|-
|-
| style="text-align:center;" | 36
| style="text-align:center;" | 36
| | 939.13
| | 939.13
| style="text-align:center;" | li
| | [[12/7]]
| style="text-align:center;" | upmajor 6th
| style="text-align:center;" | upmajor 6th
| style="text-align:center;" | ^M6
| style="text-align:center;" | ^M6
| style="text-align:center;" | ^B
| style="text-align:center;" | ^B
| | 12/7, 26/15*
| style="text-align:center;" | li
|-
|-
| style="text-align:center;" | 37
| style="text-align:center;" | 37
| | 965.217
| | 965.217
| style="text-align:center;" | ta
| | [[7/4]], [[40/23]]
| style="text-align:center;" | downminor 7th
| style="text-align:center;" | downminor 7th
| style="text-align:center;" | vm7
| style="text-align:center;" | vm7
| style="text-align:center;" | vC
| style="text-align:center;" | vC
| | 7/4, 26/15*
| style="text-align:center;" | ta
|-
|-
| style="text-align:center;" | 38
| style="text-align:center;" | 38
| | 991.304
| | 991.304
| style="text-align:center;" | teh
| | [[16/9]], [[23/13]]
| style="text-align:center;" | minor 7th
| style="text-align:center;" | minor 7th
| style="text-align:center;" | m7
| style="text-align:center;" | m7
| style="text-align:center;" | C
| style="text-align:center;" | C
| | 16/9, 30/17
| style="text-align:center;" | teh
|-
|-
| style="text-align:center;" | 39
| style="text-align:center;" | 39
| | 1017.391
| | 1017.391
| style="text-align:center;" | te
| | [[9/5]]
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | upminor 7th
| style="text-align:center;" | ^m7
| style="text-align:center;" | ^m7
| style="text-align:center;" | ^C
| style="text-align:center;" | ^C
| | 9/5
| style="text-align:center;" | te
|-
|-
| style="text-align:center;" | 40
| style="text-align:center;" | 40
| | 1043.478
| | 1043.478
| style="text-align:center;" | tu
| | [[11/6]], [[20/11]], [[42/23]]
| style="text-align:center;" | downmid 7th
| style="text-align:center;" | downmid 7th
| style="text-align:center;" | v~7
| style="text-align:center;" | v~7
| style="text-align:center;" | ^^C
| style="text-align:center;" | ^^C
| | 11/6, 20/11
| style="text-align:center;" | tu
|-
|-
| style="text-align:center;" | 41
| style="text-align:center;" | 41
| | 1069.565
| | 1069.565
| style="text-align:center;" | tuh
| | [[24/13]], [[13/7]], [[28/15]]
| style="text-align:center;" | upmid 7th
| style="text-align:center;" | upmid 7th
| style="text-align:center;" | ^~7
| style="text-align:center;" | ^~7
| style="text-align:center;" | vvC#
| style="text-align:center;" | vvC#
| | 24/13, 13/7, 28/15
| style="text-align:center;" | tuh
|-
|-
| style="text-align:center;" | 42
| style="text-align:center;" | 42
| | 1095.652
| | 1095.652
| style="text-align:center;" | ti
| | [[15/8]], [[32/17]], [[17/9]]
| style="text-align:center;" | downmajor 7th
| style="text-align:center;" | downmajor 7th
| style="text-align:center;" | vM7
| style="text-align:center;" | vM7
| style="text-align:center;" | vC#
| style="text-align:center;" | vC#
| | 15/8, 32/17, 17/9
| style="text-align:center;" | ti
|-
|-
| style="text-align:center;" | 43
| style="text-align:center;" | 43
| | 1121.739
| | 1121.739
| style="text-align:center;" | taa
| | [[48/25]], [[40/21]], [[21/11]], [[23/12]], [[44/23]]
| style="text-align:center;" | major 7th
| style="text-align:center;" | major 7th
| style="text-align:center;" | M7
| style="text-align:center;" | M7
| style="text-align:center;" | C#
| style="text-align:center;" | C#
| |  
| style="text-align:center;" | taa
|-
|-
| style="text-align:center;" | 44
| style="text-align:center;" | 44
| | 1147.826
| | 1147.826
| style="text-align:center;" | to
| |[[27/14]], [[64/33]]
| style="text-align:center;" | upmajor 7th
| style="text-align:center;" | upmajor 7th
| style="text-align:center;" | ^M7
| style="text-align:center;" | ^M7
| style="text-align:center;" | ^C#
| style="text-align:center;" | ^C#
| |  
| style="text-align:center;" | to
|-
|-
| style="text-align:center;" | 45
| style="text-align:center;" | 45
| | 1173.913
| | 1173.913
| style="text-align:center;" | da
| | [[160/81]], [[63/32]]
| style="text-align:center;" | down 8ve
| style="text-align:center;" | down 8ve
| style="text-align:center;" | v8
| style="text-align:center;" | v8
| style="text-align:center;" | vD
| style="text-align:center;" | vD
| |  
| style="text-align:center;" | da
|-
|-
| style="text-align:center;" | 46
| style="text-align:center;" | 46
| | 1200.000
| | 1200.000
| style="text-align:center;" | do
| | [[2/1]]
| style="text-align:center;" | perfect 8ve
| style="text-align:center;" | perfect 8ve
| style="text-align:center;" | P8
| style="text-align:center;" | P8
| style="text-align:center;" | D
| style="text-align:center;" | D
| | 2/1
| style="text-align:center;" | do
|}
|}
*15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not [[consistent|consistent]] in the [[15-limit|15-limit]].
<nowiki>*</nowiki> Based on treating 46-edo as a 2.3.5.7.11.13.17.23 subgroup, without ratios of 15 (except the superparticulars). 46-edo has the 15th harmony poorly approximated in general, because, while both the 3rd and 5th harmonies are sharp by a fair amount and they add up, all the other primes are flat, making the difference even larger, to the extent that it is not [[consistent]] in the [[15-odd-limit]]. This can be demonstrated with the discrepancy approximating [[15/13]] (and its inversion [[26/15]]). 9\46edo is closer to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13.  


Combining ups and downs notation with [[Kite's_color_notation|color notation]], qualities can be loosely associated with colors:
Combining ups and downs notation with [[Kite's_color_notation|color notation]], qualities can be loosely associated with colors:
Line 506: Line 504:


==Selected just intervals by error==
==Selected just intervals by error==
{| class="wikitable"
!
!prime 2
!prime 3
!prime 5
!prime 7
!prime 11
!prime 13
!prime 17
!prime 19
!prime 23
|-
! |Error (¢)
|0
| +2.4
| +5.0
| -3.6
| -3.5
| -5.7
| -0.61
| +10.6
| -2.1
|-
! |Fifthspan
|0
| +1
| +21
| +15
| +11
| +8
| -22
| -3
| +6
|}
The following table shows how [[Just-24|some prominent just intervals]] are represented in 46edo (ordered by absolute error).
The following table shows how [[Just-24|some prominent just intervals]] are represented in 46edo (ordered by absolute error).


Line 525: Line 557:
| style="text-align:center;" | 2.253
| style="text-align:center;" | 2.253
|-
|-
| style="text-align:center;" | [[4/3|4/3]], [[3/2|3/2]]
| style="text-align:center;" | '''[[4/3|4/3]], [[3/2|3/2]]'''
| style="text-align:center;" | '''2.393'''
| style="text-align:center;" | '''2.393'''
|-
|-
Line 531: Line 563:
| style="text-align:center;" | 2.598
| style="text-align:center;" | 2.598
|-
|-
| style="text-align:center;" | [[11/8|11/8]], [[16/11|16/11]]
| style="text-align:center;" | '''[[11/8|11/8]], [[16/11|16/11]]'''
| style="text-align:center;" | 3.492
| style="text-align:center;" | '''3.492'''
|-
|-
| style="text-align:center;" | [[8/7|8/7]], [[7/4|7/4]]
| style="text-align:center;" | '''[[8/7|8/7]], [[7/4|7/4]]'''
| style="text-align:center;" | '''3.609'''
| style="text-align:center;" | '''3.609'''
|-
|-
Line 540: Line 572:
| style="text-align:center;" | 4.786
| style="text-align:center;" | 4.786
|-
|-
| style="text-align:center;" | [[5/4|5/4]], [[8/5|8/5]]
| style="text-align:center;" | '''[[5/4|5/4]], [[8/5|8/5]]'''
| style="text-align:center;" | '''4.991'''
| style="text-align:center;" | '''4.991'''
|-
|-
| style="text-align:center;" | [[16/13|16/13]], [[13/8|13/8]]
| style="text-align:center;" | '''[[16/13|16/13]], [[13/8|13/8]]'''
| style="text-align:center;" | '''5.745'''
| style="text-align:center;" | '''5.745'''
|-
|-
Retrieved from "https://en.xen.wiki/w/46edo"