User talk:Lhearne: Difference between revisions

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:::::::::::::: Wait, never mind, the biyatisma can be made from the the syntonic comma minus the rastma even in JI. Sorry I asked about that one. Anyhow, I realized I forgot to mention that the meantone comma can be subtracted from the 33/32 quartertone to get 55/54, so that's another dimension we could consider. I know that in the 7-limit, the [[225/224|septimal kleisma]] seems to be a pretty good as three of them only fall short of the [[Pythagorean comma]] by the [[landscape comma]], so that means there's a marvel-pyth equivalence continuum as well. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 03:06, 5 February 2021 (UTC)

::::::::::::::: No worries! Yeah I found a possibility for 55/54 as a meantone comma subtracted from the 33/32 quartertone, for 63edo, but then I found that 64/63 subtracted from 33/32 (to get 2097/2048) gave simpler ratios and was also two steps of 63edo, which I have well-ordered names for as

::::::::::::::: P1 C1 sU1 U1/sm2 m2 Cm2 sUm2 Um2 uM2 SuM2 cM2 M2 SM2 UcM2/uCm3 sm3 m3 Cm3 sUm3 Um3 uM3 SuM3 cM3 M3 SM3 Su4 s4 P4 C4 cU4 U4 uA4/d5 Cd5 cA4 A4/Ud5 u5 Cu5 c5 P5 S5 sU5/Sum6 sm6 m6 Cm6 sUm6 Um6 uM6 SuM6 cM6 M6 SM6 sUM6/Sum7 sm7 m7 Cm7 sUm7 Um7 uM7 SuM7 cM7 M7 SM7/u8 Su8 c8 P8

::::::::::::::: Not sure whether to write s/S before or after U/u.

::::::::::::::: The spectimal kleisma indeed seems a good possibility indeed. Could use the letter 'k' perhaps. For now I'm considering adding the [[Diaschsima]] in order to notate 25/24. And then we can actually get the schisma (32805/32768) through subtracting the diaschisma from the meantone comma. I also suspect I may need 45/44 to name 11/10 as a type of major rather than minor second, and 15/11 as a type of fourth rather than Aug 4, considering using F/f for fifth-tone-Wide/narrow, and mayyybe also using F/f to specify a 13-limit comma of similar size - 1701/1664, so it can be used to name 14/13 as a type of minor rather than major second and 13/7 as a type of major rather than minor seventh. At this stage we can get them by adding 81/64 or 64/63 to 33/32, but then it makes it hard for well-ordered names. However, I haven't found an edo or MOS scale I need these for yet. These prefixes have risk of inconsistency, wherein an edo in which both commas are needed may map them to a different number of degrees, or they may be edos in which the number of degrees approximating 9/8 is divisible by 5, but which ever of these commas is needed are not mapped to 1/5th the number of degrees of 9/8. --[[User:Lhearne|Lhearne]] ([[User talk:Lhearne|talk]]) 07:56, 6 February 2021 (UTC)

@@ Line 95: / Line 95: @@
 :::::::::::::: Wait, never mind, the biyatisma can be made from the the syntonic comma minus the rastma even in JI.  Sorry I asked about that one.  Anyhow, I realized I forgot to mention that the meantone comma can be subtracted from the 33/32 quartertone to get 55/54, so that's another dimension we could consider.  I know that in the 7-limit, the [[225/224|septimal kleisma]] seems to be a pretty good as three of them only fall short of the [[Pythagorean comma]] by the [[landscape comma]], so that means there's a marvel-pyth equivalence continuum as well. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 03:06, 5 February 2021 (UTC)
+::::::::::::::: No worries! Yeah I found a possibility for 55/54 as a meantone comma subtracted from the 33/32 quartertone, for 63edo, but then I found that 64/63 subtracted from 33/32 (to get 2097/2048) gave simpler ratios and was also two steps of 63edo, which I have well-ordered names for as
+::::::::::::::: P1 C1 sU1 U1/sm2 m2 Cm2 sUm2 Um2 uM2 SuM2 cM2 M2 SM2 UcM2/uCm3 sm3 m3 Cm3 sUm3 Um3 uM3 SuM3 cM3 M3 SM3 Su4 s4 P4 C4 cU4 U4 uA4/d5 Cd5 cA4 A4/Ud5 u5 Cu5 c5 P5 S5 sU5/Sum6 sm6 m6 Cm6 sUm6 Um6 uM6 SuM6 cM6 M6 SM6 sUM6/Sum7 sm7 m7 Cm7 sUm7 Um7 uM7 SuM7 cM7 M7 SM7/u8 Su8 c8 P8
+::::::::::::::: Not sure whether to write s/S before or after U/u.
+::::::::::::::: The spectimal kleisma indeed seems a good possibility indeed. Could use the letter 'k' perhaps. For now I'm considering adding the [[Diaschsima]] in order to notate 25/24. And then we can actually get the schisma (32805/32768) through subtracting the diaschisma from the meantone comma. I also suspect I may need 45/44 to name 11/10 as a type of major rather than minor second, and 15/11 as a type of fourth rather than Aug 4, considering using F/f for fifth-tone-Wide/narrow, and mayyybe also using F/f to specify a 13-limit comma of similar size - 1701/1664, so it can be used to name 14/13 as a type of minor rather than major second and 13/7 as a type of major rather than minor seventh. At this stage we can get them by adding 81/64 or 64/63 to 33/32, but then it makes it hard for well-ordered names. However, I haven't found an edo or MOS scale I need these for yet. These prefixes have risk of inconsistency, wherein an edo in which both commas are needed may map them to a different number of degrees, or they may be edos in which the number of degrees approximating 9/8 is divisible by 5, but which ever of these commas is needed are not mapped to 1/5th the number of degrees of 9/8. --[[User:Lhearne|Lhearne]] ([[User talk:Lhearne|talk]]) 07:56, 6 February 2021 (UTC)