Gallery of arithmetic pitch sequences: Difference between revisions

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 This gallery can never realistically be complete as there are so many possible such scales, so feel free to add to it.
-For a shorter, more strictly curated list of only the most widely used or most mathematically important APS scales, see [[APS#List of APSs]].
+For a shorter, more strictly curated list of only the most widely used or most mathematically important APS scales, see [[Equal-step tuning#List of notable APS]].
 ==Terms==
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 Trivial case. This is exactly [[1200edo]].
+; 1ed13.94—13.97c
+Main page: [[8ed16/15|Delta scale]]
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 Main page: [[1ed44c]]
+; 1ed63.59—63.82c
+Main page: [[Phoenix]]
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 *Step size: 1 méride (~27.91 cents)
 *Trivial case. This is exactly [[43edo]].
+; APS11/12méride
+*Step size: 11/12 of a méride (~25.58 cents)
+*Close to: [[47edo]]
+*Compared to 47edo:
+**Much better: 3/1, 11/1, 23/1
+**Slightly better 5/1, 19/1
+**Slightly worse 2/1, 7/1, 13/1, 17/1
+**Much worse 13/1
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 **Much better 5/1, 7/1, 13/1
 **Slightly worse 2/1, 3/1, 11/1
+; APS7/8méride
+*Step size: 7/8 of a méride (~24.42 cents)
+*Close to: [[49edo]]
+*Compared to 49edo:
+**Much better 3/1, 7/1, 11/1, 13/1, 11/1
+**Slightly better 5/1, 23/1
+**Slightly worse 2/1, 19/1
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 **Slightly better 11/1, 23/1
 **Slightly worse 2/1
+; APS8/11méride
+*Step size: 8/11 of a méride (~20.30 cents)
+*Close to: [[59edo]]
+*Compared to 59edo:
+**Much better 3/1, 7/1, 19/1
+**Slightly better 13/1
+**Slightly worse 2/1, 5/1, 17/1
+**Much worse 11/1, 23/1
 ; APS2/3méride
-*Step size: 2/3of a méride (~18.60 cents)
+*Step size: 2/3 of a méride (~18.60 cents)
 *Close to: [[103edt]], [[130ed4]], [[181ed7]]
 *Special properties: pretty much exactly 50% relative error (but less than 10c absolute) on 2/1, and low relative error on everything else, making it a great [[dual-n|dual-2]] tuning.
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 ***130ed4 is slightly better than the others at 3/1, 5/1, 17/1, 23/1
 ***103edt is slightly better than the others at 3/1, 5/1, 23/1
+; APS7/11méride
+*Step size: 7/11 of a méride (~17.76 cents)
+*Close to: [[107edt]], [[135ed4]], [[157ed5]]
+*Special properties: almost 50% relative error (but less than 10c absolute) on 2/1, and low relative error on everything else, making it a great [[dual-n|dual-2]] tuning.
+*Comparison:
+**Step size (biggest to smallest): 135ed4, 107edt, APS7/11méride, 175ed5
+**Dual-2
+***Excellent: 135ed4, 107edt
+***Good: APS7/11méride
+***Weak: 175ed5
+**Non-dual harmonics
+***135ed4 is slightly better than the others at 3/1, 17/1
+***107edt is slightly better than the others at 3/1, 17/1
+***APS7/11méride is slightly better than the others at 3/1, 5/1, 7/1, 11/1, 13/1, 19/1
+***175ed5 is slightly better than the others at 5/1, 7/1, 11/1, 23/1
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-; APS7/8méride
+; APS7/12méride
-*Step size: 7/8 of a méride (~24.42 cents)
+*Step size: 7/12 of a méride (~16.28 cents)
-*Close to: [[49edo]]
+*Close to: [[74edo]]
-*Compared to 49edo:
+*Compared to 74edo:
-**Much better 3/1, 7/1, 11/1, 13/1, 11/1
+**11/1 is about the same
-**Slightly better 5/1, 23/1
+**Better 3/1, 5/1, 7/1, 17/1, 19/1
-**Slightly worse 2/1, 19/1
+**Worse 2/1, 13/1, 23/1
+; APS6/11méride
+*Step size: 6/11 of a méride (~15.22 cents)
+*Close to: [[79edo]]
+*Compared to 79edo:
+**Better 3/1, 5/1, 11/1, 13/1, 19/1
+**Worse 2/1, 7/1, 17/1, 23/1
 ==APS of tinas==
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 {{navbox scale gallery}}
-[[Category:Equal-step tunings]] [[Category:Lists of scales]]
+[[Category:Equal-step tuning]] [[Category:Lists of scales]]