Xenharmonic Wiki

58edo: Difference between revisions

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Tuning profile above commas. Ups and downs notation above sagittal
Move hemipyth notation to the notation section
Line 24: Line 24:
! Cents
! Cents
! Approximate Ratios
! Approximate Ratios
! [[Ups and downs notation]]
! [[Ups and downs notation|Ups and Downs Notation]]
! [[Hemipyth]] notation (SW3-style)
|-
|-
| 0
| 0
Line 31: Line 30:
| [[1/1]]
| [[1/1]]
| {{UDnote|step=0}}
| {{UDnote|step=0}}
| D
|-
|-
| 1
| 1
Line 42: Line 40:
| [[36/35]], [[49/48]], [[50/49]], [[55/54]]
| [[36/35]], [[49/48]], [[50/49]], [[55/54]]
| {{UDnote|step=2}}
| {{UDnote|step=2}}
| α𝄳
|-
|-
| 3
| 3
Line 58: Line 55:
| [[16/15]], [[17/16]], [[18/17]]
| [[16/15]], [[17/16]], [[18/17]]
| {{UDnote|step=5}}
| {{UDnote|step=5}}
| α
|-
|-
| 6
| 6
Line 69: Line 65:
| [[12/11]], [[13/12]]
| [[12/11]], [[13/12]]
| {{UDnote|step=7}}
| {{UDnote|step=7}}
| E𝄳
|-
|-
| 8
| 8
Line 85: Line 80:
| [[9/8]], [[17/15]]
| [[9/8]], [[17/15]]
| {{UDnote|step=10}}
| {{UDnote|step=10}}
| E
|-
|-
| 11
| 11
Line 96: Line 90:
| [[15/13]]
| [[15/13]]
| {{UDnote|step=12}}
| {{UDnote|step=12}}
| β𝄳
|-
|-
| 13
| 13
Line 107: Line 100:
| [[13/11]], [[20/17]]
| [[13/11]], [[20/17]]
| {{UDnote|step=14}}
| {{UDnote|step=14}}
| F
|-
|-
| 15
| 15
Line 113: Line 105:
| [[6/5]]
| [[6/5]]
| {{UDnote|step=15}}
| {{UDnote|step=15}}
| β
|-
|-
| 16
| 16
Line 124: Line 115:
| [[11/9]], [[16/13]]
| [[11/9]], [[16/13]]
| {{UDnote|step=17}}
| {{UDnote|step=17}}
| F‡
|-
|-
| 18
| 18
Line 135: Line 125:
| [[5/4]]
| [[5/4]]
| {{UDnote|step=19}}
| {{UDnote|step=19}}
| γ
|-
|-
| 20
| 20
Line 151: Line 140:
| [[13/10]], [[17/13]], [[22/17]]
| [[13/10]], [[17/13]], [[22/17]]
| {{UDnote|step=22}}
| {{UDnote|step=22}}
| γ‡
|-
|-
| 23
| 23
Line 162: Line 150:
| [[4/3]]
| [[4/3]]
| {{UDnote|step=24}}
| {{UDnote|step=24}}
| G
|-
|-
| 25
| 25
Line 178: Line 165:
| [[11/8]], [[18/13]]
| [[11/8]], [[18/13]]
| {{UDnote|step=27}}
| {{UDnote|step=27}}
| G‡
|-
|-
| 28
| 28
Line 189: Line 175:
| [[17/12]], [[24/17]]
| [[17/12]], [[24/17]]
| {{UDnote|step=29}}
| {{UDnote|step=29}}
| δ
|-
|-
| 30
| 30
Line 200: Line 185:
| [[13/9]], [[16/11]]
| [[13/9]], [[16/11]]
| {{UDnote|step=31}}
| {{UDnote|step=31}}
| A𝄳
|-
|-
| 32
| 32
Line 216: Line 200:
| [[3/2]]
| [[3/2]]
| {{UDnote|step=34}}
| {{UDnote|step=34}}
| A
|-
|-
| 35
| 35
Line 227: Line 210:
| [[20/13]], [[26/17]], [[17/11]]
| [[20/13]], [[26/17]], [[17/11]]
| {{UDnote|step=36}}
| {{UDnote|step=36}}
| ε𝄳
|-
|-
| 37
| 37
Line 243: Line 225:
| [[8/5]]
| [[8/5]]
| {{UDnote|step=39}}
| {{UDnote|step=39}}
| ε
|-
|-
| 40
| 40
Line 254: Line 235:
| [[13/8]], [[18/11]]
| [[13/8]], [[18/11]]
| {{UDnote|step=41}}
| {{UDnote|step=41}}
| B𝄳
|-
|-
| 42
| 42
Line 265: Line 245:
| [[5/3]]
| [[5/3]]
| {{UDnote|step=43}}
| {{UDnote|step=43}}
| ζ
|-
|-
| 44
| 44
Line 271: Line 250:
| [[22/13]], [[17/10]]
| [[22/13]], [[17/10]]
| {{UDnote|step=44}}
| {{UDnote|step=44}}
| B
|-
|-
| 45
| 45
Line 282: Line 260:
| [[26/15]]
| [[26/15]]
| {{UDnote|step=46}}
| {{UDnote|step=46}}
| ζ‡
|-
|-
| 47
| 47
Line 293: Line 270:
| [[16/9]], [[30/17]]
| [[16/9]], [[30/17]]
| {{UDnote|step=48}}
| {{UDnote|step=48}}
| C
|-
|-
| 49
| 49
Line 309: Line 285:
| [[11/6]], [[24/13]]
| [[11/6]], [[24/13]]
| {{UDnote|step=51}}
| {{UDnote|step=51}}
| C‡
|-
|-
| 52
| 52
Line 320: Line 295:
| [[15/8]], [[32/17]], [[17/9]]
| [[15/8]], [[32/17]], [[17/9]]
| {{UDnote|step=53}}
| {{UDnote|step=53}}
| η
|-
|-
| 54
| 54
Line 336: Line 310:
| [[35/18]], [[96/49]], [[49/25]], [[108/55]]
| [[35/18]], [[96/49]], [[49/25]], [[108/55]]
| {{UDnote|step=56}}
| {{UDnote|step=56}}
| η‡
|-
|-
| 57
| 57
Line 347: Line 320:
| [[2/1]]
| [[2/1]]
| {{UDnote|step=58}}
| {{UDnote|step=58}}
| D
|}
|}


Line 381: Line 353:
| [[File:Sagittal sharp pao.png]]
| [[File:Sagittal sharp pao.png]]
| [[File:Sagittal sharp.png]]
| [[File:Sagittal sharp.png]]
|}
=== Hemipyth notation ===
{| class="wikitable center-all right-2 center-3 mw-collapsible mw-collapsed"
|+ style="font-size: 105%; white-space: nowrap;" | Hemipyth notation for 58edo (SW3-style)
|-
! #
! Cents
! Note Names<br>on D
|-
| 0
| 0.0
| D
|-
| 2
| 41.4
| α𝄳
|-
| 5
| 103.4
| α
|-
| 7
| 144.8
| E𝄳
|-
| 10
| 206.9
| E
|-
| 12
| 248.3
| β𝄳
|-
| 14
| 289.7
| F
|-
| 15
| 310.3
| β
|-
| 17
| 351.7
| F‡
|-
| 19
| 393.1
| γ
|-
| 22
| 455.2
| γ‡
|-
| 24
| 496.6
| G
|-
| 27
| 558.6
| G‡
|-
| 29
| 600.0
| δ
|-
| 31
| 641.4
| A𝄳
|-
| 34
| 703.4
| A
|-
| 36
| 744.8
| ε𝄳
|-
| 39
| 806.9
| ε
|-
| 41
| 848.3
| B𝄳
|-
| 43
| 889.7
| ζ
|-
| 44
| 910.3
| B
|-
| 46
| 951.7
| ζ‡
|-
| 48
| 993.1
| C
|-
| 51
| 1055.2
| C‡
|-
| 53
| 1096.6
| η
|-
| 56
| 1158.6
| η‡
|-
| 58
| 1200.0
| D
|}
|}


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