User talk:Lhearne: Difference between revisions

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:::::::::::: Regarding the 13-limit and 17-limit, I think you and I both need to study 159edo more closely and look at the commas that EDO tempers out. I've even made an [[Table of 159edo Intervals|interval table for 159edo]]. As to commas in the 13-limit, I'd recommend looking at the [[grossma]] and the mynucuma as two potential option for a comma, and for the 17-limit, there's the [[936/935|ainos comma (936/935)]] since it seems to make a good extension for both gentle and minthmic harmonies. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:41, 3 February 2021 (UTC)

:::::::::::: I must also point out that I think we need to worry about the 11-limit before we get too heavily involved in the 13-limit or the 17-limit, and that while it would be great to get to 270 in one go, the sheer complexity of some of these EDOs means we need to break this operation for EDO extensions into distinct phases. The first phase is where we'll be looking at EDOs up to 171- since 171edo is the largest EDO where a half of a step is greater than the JND at 3.5 cents. The second phase is the one where we'll be extending from 172 to 270. Besides, we need to take our time to get stuff right. Does this make sense? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:57, 3 February 2021 (UTC)

:::::::::::: I must also point out that I think we need to worry about the 11-limit before we get too heavily involved in the 13-limit or the 17-limit, and that while it would be great to get to 270 in one go, the sheer complexity of some of these EDOs means we need to break this operation for EDO extensions into distinct phases. The first phase is where we'll be looking at EDOs up to 171- since 171edo is the largest EDO where a half of a step is greater than the JND of 3.5 cents. The second phase is the one where we'll be extending from 172 to 270. Besides, we need to take our time to get stuff right. Does this make sense? --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 04:57, 3 February 2021 (UTC)

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	:::::::::::: Regarding the 13-limit and 17-limit, I think you and I both need to study 159edo more closely and look at the commas that EDO tempers out. I've even made an [[Table of 159edo Intervals\|interval table for 159edo]]. As to commas in the 13-limit, I'd recommend looking at the [[grossma]] and the mynucuma as two potential option for a comma, and for the 17-limit, there's the [[936/935\|ainos comma (936/935)]] since it seems to make a good extension for both gentle and minthmic harmonies. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 04:41, 3 February 2021 (UTC)		:::::::::::: Regarding the 13-limit and 17-limit, I think you and I both need to study 159edo more closely and look at the commas that EDO tempers out. I've even made an [[Table of 159edo Intervals\|interval table for 159edo]]. As to commas in the 13-limit, I'd recommend looking at the [[grossma]] and the mynucuma as two potential option for a comma, and for the 17-limit, there's the [[936/935\|ainos comma (936/935)]] since it seems to make a good extension for both gentle and minthmic harmonies. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 04:41, 3 February 2021 (UTC)

	:::::::::::: I must also point out that I think we need to worry about the 11-limit before we get too heavily involved in the 13-limit or the 17-limit, and that while it would be great to get to 270 in one go, the sheer complexity of some of these EDOs means we need to break this operation for EDO extensions into distinct phases. The first phase is where we'll be looking at EDOs up to 171- since 171edo is the largest EDO where a half of a step is greater than the JND at 3.5 cents. The second phase is the one where we'll be extending from 172 to 270. Besides, we need to take our time to get stuff right. Does this make sense? --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 04:57, 3 February 2021 (UTC)		:::::::::::: I must also point out that I think we need to worry about the 11-limit before we get too heavily involved in the 13-limit or the 17-limit, and that while it would be great to get to 270 in one go, the sheer complexity of some of these EDOs means we need to break this operation for EDO extensions into distinct phases. The first phase is where we'll be looking at EDOs up to 171- since 171edo is the largest EDO where a half of a step is greater than the JND of 3.5 cents. The second phase is the one where we'll be extending from 172 to 270. Besides, we need to take our time to get stuff right. Does this make sense? --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 04:57, 3 February 2021 (UTC)