Lhearne (talk | contribs)
Lhearne (talk | contribs)
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::: Tribilo[9]: 151 302 400 550 702 800 951 1102 1200
::: Tribilo[9]: 151 302 400 550 702 800 951 1102 1200
::: Tribilo[15]: 98 151 249 302 400 498 551 649 702 800 898 951 1049 1102 1200
::: Tribilo[15]: 98 151 249 302 400 498 551 649 702 800 898 951 1049 1102 1200
::: Tribilo[24]: 53 98 151 204 249 302 347 400 453 498 551 604 649 702 747 800 853 898 951 1049 1102 1147 1200
::: Tribilo[24]: 53 98 151 204 249 302 347 400 453 498 551 604 649 702 747 800 853 898 951 1004 1049 1102 1147 1200
::: I'll stop there for now, even though we haven't reached 27/16 yet. This will be fun to stretch my interval naming scheme with!
::: I'll stop there for now, even though we haven't reached 27/16 yet. This will be fun to stretch my interval naming scheme with!
::: First, simplest JI:
::: First, simplest JI:
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::: Tribilo[9]: uM2 uuM3 UUm3 U4 P5 uuM6 UUUm6/uuuM7 UUm7 P8
::: Tribilo[9]: uM2 uuM3 UUm3 U4 P5 uuM6 UUUm6/uuuM7 UUm7 P8
::: Tribilo[15]: uuM2 uM2 UUUm2 uuM3 UUm3 P4 U4 u5 P5 uuM6 UUm6 UUUm6/uuuM7 Um7 UUm7 P8
::: Tribilo[15]: uuM2 uM2 UUUm2 uuM3 UUm3 P4 U4 u5 P5 uuM6 UUm6 UUUm6/uuuM7 Um7 UUm7 P8
::: Tribilo[24]: U1 uuM2 uM2 M2 UUUm2 uuM3 UUUm3 UUm3 Um3 P4 U4 UU4 u5 P5 uuuM6 uuM6 uM6 UUm6 UUUm6/uuuM7 Um7 UUm7 u8 P8
::: Tribilo[24]: U1 uuM2 uM2 M2 UUUm2 uuM3 UUUm3 UUm3 Um3 P4 U4 UU4 u5 P5 uuuM6 uuM6 uM6 UUm6 UUUm6/uuuM7 uuM7 Um7 UUm7 u8 P8
::: I'll stop there, but since I can get to the generators using my prefixes, I can use it to name the intervals of any scale in this temperament, and any 2.3.11 ratios approximated in 159edo. It's always possible to notate every step of every edo, because I can stack prefixes, but the aim is to try to name in a well-ordered way. It is not possible to notate this scale in a well ordered way, though it's semi-well ordered in that you never have interval class n+1 smaller than interval class n, at least up to the 24 note scale. I hope this qualifies as naming the 11-limit intervals of 159edo properly.  
::: I'll stop there, but since I can get to the generators using my prefixes, I can use it to name the intervals of any scale in this temperament, and any 2.3.11 ratios approximated in 159edo. It's always possible to notate every step of every edo, because I can stack prefixes, but the aim is to try to name in a well-ordered way. It is not possible to notate this scale in a well ordered way, though it's semi-well ordered in that you never have interval class n+1 smaller than interval class n, at least up to the 24 note scale. I hope this qualifies as naming the 11-limit intervals of 159edo properly.  
::: Any edo can be named in a semi well-ordered way using the narrow and Wide prefixes, representing a single step of the edo.
::: Any edo can be named in a semi well-ordered way using the narrow and Wide prefixes, representing a single step of the edo.
::: Any particular intervals you'd like to name?
::: Any particular intervals you'd like to name?
::: --[[User:Lhearne|Lhearne]] ([[User talk:Lhearne|talk]]) 15:23, 2 February 2021 (UTC)
::: --[[User:Lhearne|Lhearne]] ([[User talk:Lhearne|talk]]) 15:23, 2 February 2021 (UTC)