44edo: Difference between revisions

+ Approximation to JI section
Regular temperament properties: + some missing temps
 
(4 intermediate revisions by 2 users not shown)
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| 6
| 6
| 163.6
| 163.6
| [[11/10]], [[12/11]], [[32/29]], ''[[10/9]]''
| ''[[10/9]]'', [[11/10]], [[12/11]], [[32/29]]
| Dudmajor 2nd, upmid 2nd
| Dudmajor 2nd, upmid 2nd
| vvM2, ^~2
| vvM2, ^~2
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| 8
| 8
| 218.2
| 218.2
| [[8/7]], [[9/8]], [[17/15]]
| [[8/7]], ''[[9/8]]'', [[17/15]]
| Major 2nd
| Major 2nd
| M2
| M2
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| 12
| 327.3
| 327.3
| [[6/5]], [[17/14]], ''[[11/9]]''
| [[6/5]], ''[[11/9]]'', [[17/14]], [[29/24]]
| Dupminor 3rd, downmid 3rd
| Dupminor 3rd, downmid 3rd
| ^^m3, v~3
| ^^m3, v~3
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| 16
| 16
| 436.4
| 436.4
| [[9/7]], ''[[14/11]]''
| [[9/7]], ''[[14/11]]'', [[22/17]]
| Major 3rd
| Major 3rd
| M3
| M3
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| 28
| 28
| 763.6
| 763.6
| [[14/9]], ''[[11/7]]''
| [[14/9]], ''[[11/7]]'', [[17/11]]
| Minor 6th
| Minor 6th
| m6
| m6
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| 32
| 32
| 872.7
| 872.7
| [[5/3]], [[28/17]], ''[[18/11]]''
| [[5/3]], ''[[18/11]]'', [[28/17]], [[48/29]]
| Dudmajor 6th, upmid 6th
| Dudmajor 6th, upmid 6th
| vvM6, ^~6
| vvM6, ^~6
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| 36
| 36
| 981.8
| 981.8
| [[7/4]], [[16/9]], [[30/17]]
| [[7/4]], ''[[16/9]]'', [[30/17]]
| Minor 7th
| Minor 7th
| m7
| m7
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| 38
| 38
| 1036.4
| 1036.4
| [[11/6]], [[20/11]], [[29/16]], ''[[9/5]]''
| ''[[9/5]]'', [[11/6]], [[20/11]], [[29/16]]
| Dupminor 7th, downmid 7th
| Dupminor 7th, downmid 7th
| ^^m7, v~7
| ^^m7, v~7
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== Notation ==
== Notation ==
=== Ups and downs notation ===
=== Stein–Zimmermann–Gould notation ===
44edo can be notated with ups and downs, spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.  
[[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows:
{{Sharpness-sharp6-szg}}
 
If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
{{Sharpness-sharp6-qt-szg}}
 
=== Kite's ups and downs notation ===
44edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]], spoken as up, dup, trup, dudsharp, downsharp, sharp, upsharp etc. and down, dud, trud, dupflat etc.  
{{Sharpness-sharp6a}}
{{Sharpness-sharp6a}}


Half-sharps and half-flats can be used to avoid triple arrows:
Half-sharps and half-flats can be used to avoid triple arrows:
{{Sharpness-sharp6b}}
{{Sharpness-sharp6b}}
[[Alternative symbols for ups and downs notation#Sharp-6| Alternative ups and downs]] have sharps and flats with arrows borrowed from extended [[Helmholtz–Ellis notation]]:
{{Sharpness-sharp6}}
If double arrows are not desirable, arrows can be attached to quarter-tone accidentals:
{{Sharpness-sharp6-qt}}


=== Sagittal notation ===
=== Sagittal notation ===
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| 22/21
| 22/21
| [[Nautilus]] (44d)
| [[Nautilus]] (44d)
|-
| 1
| 5\44
| 136.36
| 14/13
| [[Doublethink]]
|-
|-
| 1
| 1
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| 409.09
| 409.09
| 5/4
| 5/4
| [[Hocus]] (44)
| [[Hocus]]
|-
| 1
| 17\44
| 463.64
| 72/55
| [[Borwell]] (44e)
|-
| 1
| 19\44
| 518.18
| 88/65
| [[Undecimation]]
|-
|-
| 2
| 2