Overthink
Joined 15 September 2025
→23-limit in 159edo: note on term temperament |
remove this section |
||
| (9 intermediate revisions by 2 users not shown) | |||
| Line 1: | Line 1: | ||
{{Archives}} | |||
== Hi == | == Hi == | ||
Welcome to my talk page! -- [[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 03:40, 21 September 2025 (UTC) | Welcome to my talk page! -- [[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 03:40, 21 September 2025 (UTC) | ||
== 23-limit in 159edo == | == 23-limit in 159edo == | ||
| Line 33: | Line 14: | ||
: I believe a 12edo-based classification of intervals based on 2.3.5.17 [[Schismatic family#Term|Term temperament]] may be good, and for prime 11 use an 24edo-based classification from [[Schismatic family#Hemiterm|hemiterm]]. Note that 159edo supports both.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 05:07, 16 November 2025 (UTC) | : I believe a 12edo-based classification of intervals based on 2.3.5.17 [[Schismatic family#Term|Term temperament]] may be good, and for prime 11 use an 24edo-based classification from [[Schismatic family#Hemiterm|hemiterm]]. Note that 159edo supports both.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 05:07, 16 November 2025 (UTC) | ||
: Or maybe just start with simpler intervals of 2.3.17.--[[User:Overthink|Overthink]] ([[User talk:Overthink|talk]]) 05:17, 16 November 2025 (UTC) | |||
:: One way I've noticed for connecting primes 11 and 5, or rather combinations of 3 and 11 with combinations of 3 and 5, is to equate three instances of 243/242 with 81/80. Prime 17 is also a good addition, and it simplifies certain 11-based gestures in 159edo by 17/16 being equated with two instances of 33/32. I should note that 159edo supports both of these options. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 06:12, 16 November 2025 (UTC) | |||
:: One more thing I just remembered about connecting combinations of 3, 5 and 11 is to stack three instances of 8192/8019 to get 16/15. I don't know what you make of that, but it's a gesture supported by both 65edo and 159edo. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 06:26, 16 November 2025 (UTC) | |||
:: A third option I just found for connecting primes 3, 5 and 11 is to equate two instances of 81/80 with 4096/3993. You are right that none of these are particularly simple, but I still find these methods to be highly valuable- especially with prime 17 coming in to simplify things. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 07:00, 16 November 2025 (UTC) | |||