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Gallery of arithmetic pitch sequences: Difference between revisions

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BudjarnLambeth (talk | contribs)
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m →APS of jots: correct error
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,316 edits
m Removed my least favourite of the scales I added, to leave more space for the most interesting ones
Line 94: Line 94:
**Much better 3/1, 5/1, 7/1, 11/1, 13/1, 17/1
**Much better 3/1, 5/1, 7/1, 11/1, 13/1, 17/1
**Slightly worse 2/1
**Slightly worse 2/1
; APS13farab
*Step size: 13 farabs (~108.33 cents)
*Close to: [[11edo]]
*Special properties: no-3s
*Compared to 11edo:
**7/1 is about the same
**Much better 5/1, 13/1, 19/1, 23/1, 29/1, 31/1
**Slightly worse 2/1
**Much worse 11/1, 17/1


==APS of [[311edo|gene]]s==
==APS of [[311edo|gene]]s==
Line 119: Line 108:
*Compared to 197edt:
*Compared to 197edt:
**197edt is not dual-2, so APS2.5gene completely restructures the tuning
**197edt is not dual-2, so APS2.5gene completely restructures the tuning
;APS6gene
*Step size: 6 genes (~23.15 cents)
*Close to: [[52edo]]
*Compared to 52edo:
**Much better 3/1, 17/1
**Slightly better 13/1
**Slightly worse 2/1, 5/1, 11/1
**Much worse 7/1
;APS8gene
*Step size: 8 genes (~30.87 cents)
*Close to: [[39edo]]
*Compared to 39edo:
**Much better 5/1, 7/1, 17/1, 19/1, 23/1, 29/1
**Slightly better 13/1
**Slightly worse 2/1
**Much worse 3/1, 11/1




Line 149: Line 118:
**Slightly worse 3/1, 17/1
**Slightly worse 3/1, 17/1
**Much worse 11/1, 23/1
**Much worse 11/1, 23/1
;APS11gene
*Step size: 11 genes (~42.44 cents)
*Close to: [[28edo]]
*Compared to 28edo:
**7/1, 13/1, 17/1 are about the same
**Much better 3/1, 23/1, 31/1
**Slightly worse 11/1, 19/1
**Much worse 2/1, 5/1, 29/1




Line 178: Line 137:
**Slightly worse 3/1
**Slightly worse 3/1
**Much worse 11/1, 13/1, 17/1
**Much worse 11/1, 13/1, 17/1
;APS16gene
*Step size: 16 genes (~61.74 cents)
*Close to: [[31edt]]
*Special properties: no-2s
*Compared to 31edt:
**Much better 5/1, 13/1
**Slightly better 11/1
**Much worse 3/1, 7/1
;APS19gene
*Step size: 19 genes (~73.31 cents)
*Close to: [[26edt]]
*Special properties: no-2s
*Compared to 26edt:
**Much better 23/1, 31/1
**Slightly better 5/1, 7/1
**Slightly worse 3/1, 11/1, 13/1, 17/1, 19/1, 29/1


==APS of [[hekt]]s==
==APS of [[hekt]]s==
Line 204: Line 143:
*Step size: 1 hekt (~1.46304 cents)
*Step size: 1 hekt (~1.46304 cents)
*Trivial case. This is exactly [[1300edt]].
*Trivial case. This is exactly [[1300edt]].
; APS(pi)hekt
*Step size: ~3.14159 hekts (~4.59628 cents)
*Close to: [[261edo]]
*Compared to 261edo:
**2/1, 17/1 are about the same
**Slightly better 3/1, 7/1, 13/1, 19/1, 23/1
**Slightly worse 5/1, 11/1, 29/1, 31/1




Line 223: Line 153:
**Slightly worse 2/1, 11/1, 19/1
**Slightly worse 2/1, 11/1, 19/1
**Much worse 13/1
**Much worse 13/1
; APS11hekt
*Step size: 11 hekts (~16.09 cents)
*Close to: [[118edt]]
*Special properties: dual-2s
*Compared to 118edt:
**5/1, 19/1 are about the same
**Much better 11/1, 13/1, 17/1
**Slightly worse 3/1
**Much worse 7/1




Line 244: Line 163:
**Slightly better 7/1, 19/1
**Slightly better 7/1, 19/1
**Slightly worse 2/1, 3/1, 13/1
**Slightly worse 2/1, 3/1, 13/1
; APS17hekt
*Step size: 17 hekts (~24.87 cents)
*Close to: [[48edo]]
*Special properties: dual-3
*Compared to 48edo:
**11/1, 13/1, 17/1, 19/1 are about the same
**Much better 5/1
**Much worse 3/1, 7/1




Line 329: Line 238:


Main page: [[1ed28.7c|APS720jot]]
Main page: [[1ed28.7c|APS720jot]]
;APS777jot
*Step size: 777 jot (~30.97 cents)
*Close to: [[39edo]]
*Compared to 39edo:
**Much better 5/1, 7/1
**Slightly better 11/1
**Slightly worse 2/1, 13/1
**Much worse 3/1




Line 345: Line 244:
*Close to: [[38edo]]
*Close to: [[38edo]]
*Compared to 38edo: Mostly slightly worse than 38edo, but a much better 11/1 than 38edo
*Compared to 38edo: Mostly slightly worse than 38edo, but a much better 11/1 than 38edo
;APS999jot
*Step size: 999 jot (~39.82 cents)
*Close to: [[30edo]]
*Compared to 30edo:
**Much better 3/1, 5/1, 17/1
**Slightly worse 2/1
**Much worse 7/1, 13/1




Line 371: Line 261:
**Much better 3/1, 5/1
**Much better 3/1, 5/1
**Much worse 7/1
**Much worse 7/1
; APS2500jot
*Step size: 2500 jots (~99.66 cents)
*Close to: [[12edo]]
*Compared to 12edo:
**Much better 5/1, 7/1, 11/1
**Much worse 3/1, 17/1, 19/1


==APS of [[méride]]s==
==APS of [[méride]]s==
; APS4méride
*Step size: 4 méride (~111.63 cents)
*Close to: [[17edt]]
*Special properties: no-2s
*Compared to 17edt:
**3/1 is about the same
**Much better 5/1, 13/1, 17/1
**Much worse 7/1, 11/1
; APS2méride
*Step size: 2 méride (~55.81 cents)
*Close to: [[34edt]]
*Compared to 34edt:
**3/1, 13/1 are about the same
**Much better 5/1, 17/1
**Much worse 7/1, 11/1




Line 423: Line 287:
**Slightly better 11/1, 23/1
**Slightly better 11/1, 23/1
**Slightly worse 2/1
**Slightly worse 2/1
; APS0.75méride
*Step size: 0.75 mérides (~20.93 cents)
*Close to: [[57edo]]
*Compared to 57edo:
**7/1 is about the same
**Much better 3/1, 5/1
**Slightly worse 11/1, 13/1
**Much worse 2/1, 17/1, 19/1
; APS0.3méride
*Step size: 0.3 mérides (~8.37 cents)
*Close to: [[143edo]]
*Compared to 143edo:
**7/1 is about the same
**Much better 17/1, 19/1
**Slightly better 3/1, 11/1
**Slightly worse 2/1, 5/1, 13/1


==APS of [[tina]]s==
==APS of [[tina]]s==
Line 530: Line 374:
**Slightly better 3/1, 5/1, 7/1, 11/1, 13/1, 17/1, 29/1
**Slightly better 3/1, 5/1, 7/1, 11/1, 13/1, 17/1, 29/1
**Slightly worse 2/1, 19/1, 23/1, 31/1
**Slightly worse 2/1, 19/1, 23/1, 31/1
;APS123tina
*Step size: 123 tina (~17.29 cents)
*Close to: [[110edt]]
*Special properties: dual-2s
*Compared to 110edt:
**Slightly better 7/1, 13/1, 17/1, 19/1, 23/1, 31/1
**Slightly worse 3/1, 5/1, 11/1, 29/1
;APS250tina
*Step size: 250 tina (~35.13 cents)
*Close to: [[34edo]]
*Compared to 34edo:
**3/1 is about the same
**Much better 7/1, 11/1, 19/1, 29/1, 31/1
**Slightly worse 2/1
**Much worse 5/1, 13/1, 17/1, 23/1
;APS300tina
*Step size: 300 tina (~42.16 cents)
*Close to: [[45edt]]
*Special properties: no-2s
*Compared to 45edt:
**5/1 is about the same
**Much better 7/1, 19/1, 23/1, 31/1
**Slightly worse 3/1
**Much worse 11/1, 13/1, 17/1
;APS400tina
*Step size: 400 tina (~56.21 cents)
*Close to: [[34edt]]
*Special properties: no-2s
*Compared to 34edt:
**Much better 7/1, 11/1, 13/1
**Slightly better 17/1, 31/1
**Slightly worse 29/1
**Much worse 3/1, 5/1, 19/1, 23/1




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