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44edo: Difference between revisions

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{{Infobox ET
| Prime factorization = 2<sup>2</sup> × 11
| Step size = 27.273¢
| Fifth = 26\44 = 709.091¢
| Major 2nd = 8\44 = 218¢
| Minor 2nd = 2\44 = 55¢
| Augmented 1sn = 6\44 = 164¢
}}
== Theory ==
== Theory ==
{| class="wikitable center-all"
{| class="wikitable center-all"
Line 64: Line 73:


One step of 44edo is very close (only 0.0086 cents sharp) to [[64/63]] (the septimal comma).
One step of 44edo is very close (only 0.0086 cents sharp) to [[64/63]] (the septimal comma).
== Intervals ==
In 44edo, sharps and flats alter pitch by 6 EDOsteps. This means intervals can be notated with half sharps and half flats equal to 3 EDOsteps, in addition to ups and downs. The table below uses only sharps, flats, and ups and downs. When translating music from 22edo to 44edo, single ups and downs simply become double ups and downs (vEb in 22edo would be vvEb in 44edo).
{| class="wikitable center-all right-2 left-3"
|-
! Degrees
! Cents
! colspan="3" | [[Ups and Downs Notation]]
|-
| 0
| 0.000
| Perfect 1sn
| P1
| D
|-
| 1
| 27.273
| Up 1sn
| ^1
| ^D
|-
| 2
| 54.545
| Minor 2nd
| m2
| Eb
|-
| 3
| 81.818
| Upminor 2nd
| ^m2
| ^Eb
|-
| 4
| 109.019
| Downmid 2nd
| v~2
| ^^Eb
|-
| 5
| 136.364
| Mid 2nd
| ~2
| vvvE, ^^^Eb
|-
| 6
| 163.636
| Upmid 2nd
| ^~2
| vvE
|-
| 7
| 190.909
| Downmajor 2nd
| vM2
| vE
|-
| 8
| 218.182
| Major 2nd
| M2
| E
|-
| 9
| 245.455
| Upmajor 2nd, Downminor 3rd
| ^M2, vm3
| ^E, vF
|-
| 10
| 272.727
| Minor 3rd
| m3
| F
|-
| 11
| 300.000
| Upminor 3rd
| ^m3
| ^F
|-
| 12
| 327.273
| Downmid 3rd
| v~3
| ^^F
|-
| 13
| 354.545
| Mid 3rd
| ~3
| ^^^F, vvvF#
|-
| 14
| 381.818
| Upmid 3rd
| ^~3
| vvF#
|-
| 15
| 409.091
| Downmajor 3rd
| vM3
| vF#
|-
| 16
| 436.364
| Major 3rd
| M3
| F#
|-
| 17
| 463.636
| Upmajor 3rd, Down 4th
| ^M3, v4
| ^F#, vG
|-
| 18
| 490.909
| Perfect 4th
| P4
| G
|-
| 19
| 518.182
| Up 4th
| ^4
| ^G
|-
| 20
| 545.455
| Dim 5th, Downmid 4th
| d5, v~4
| Ab, ^^G
|-
| 21
| 572.727
| Mid 4th
| ~4
| ^^^G, vvvG#
|-
| 22
| 600.000
| Upmid 4th, Downmid 5th
| ^~4, v~5
| vvG#, ^^Ab
|-
| 23
| 627.273
| Mid 5th
| ~5
| vvvA, ^^^Ab
|-
| 24
| 654.545
| Aug 4th, Upmid 5th
| A4, ^~5
| G#, vvA
|-
| 25
| 681.818
| Down 5th
| v5
| vA
|-
| 26
| 709.091
| Perfect 5th
| P5
| A
|-
| 27
| 736.364
| Up 5th, Downminor 6th
| ^5, vm6
| ^A, vBb
|-
| 28
| 763.636
| Minor 6th
| m6
| Bb
|-
| 29
| 790.909
| Upminor 6th
| ^m6
| ^Bb
|-
| 30
| 818.182
| Downmid 6th
| v~6
| ^^Bb
|-
| 31
| 845.455
| Mid 6th
| ~6
| ^^^Bb, vvvB
|-
| 32
| 872.727
| Upmid 6th
| ^~6
| vvB
|-
| 33
| 900.000
| Downmajor 6th
| vM6
| vB
|-
| 34
| 927.273
| Major 6th
| M6
| B
|-
| 35
| 954.545
| Upmajor 6th, Downminor 7th
| ^M6, vm7
| ^B, vC
|-
| 36
| 981.818
| Minor 7th
| m7
| C
|-
| 37
| 1009.091
| Upminor 7th
| ^m7
| ^C
|-
| 38
| 1036.364
| Downmid 7th
| v~7
| ^^C
|-
| 39
| 1063.636
| Mid 7th
| ~7
| ^^^C, vvvC#
|-
| 40
| 1090.909
| Upmid 7th
| ^~7
| vvC#
|-
| 41
| 1118.182
| Downmajor 7th
| vM7
| vC#
|-
| 42
| 1145.455
| Major 7th
| M7
| C#
|-
| 43
| 1172.727
| Upmajor 7th, Down 8ve
| ^M7, v8
| ^C#, vD
|-
| 44
| 1200.000
| Perfect 8ve
| P8
| D
|}


[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave]]
[[Category:44edo| ]] <!-- main article -->
[[Category:44edo| ]] <!-- main article -->
Retrieved from "https://en.xen.wiki/w/44edo"