User talk:SAKryukov: Difference between revisions

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::::::: Aha, thank you for the clarification. I'll try to sort it out and take it into consideration later. For now, I'll complete the playable keyboard based on the exact same layout and the tonal system as Kite's; it won't prevent its modification or development some of variants of it in near future. — [[User:SAKryukov|SA]], ''Sunday 2020 December 6, 20:14 UTC''

:::::::: For the record, [[27/16]] has the Tonic as a virtual fundamental as well, and seems to be ~~among~~ the strongest ~~examples~~ of a major sixth above the Tonic in this respect- [[5/3]], although simpler, implies a different note as the fundamental- again, this weakens tonal stability. It is on the basis of [[32/27]]'s similar connection to the Tonic by means of a shared harmonic that makes that interval viable as far as I'm concerned. Unfortunately, utilizing the interval between 27/16 and 32/27 results in something that doesn't have Rothenberg propriety, so I needed to pick a rational number with at least some measure of virtual-fundamental-based connection or shared-harmonic-based connection to the Tonic that also exhibits Rothenburg propriety relative to [[27/16]] and 77/64 was the smallest rational interval I could find that met those criteria. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 20:16, 6 December 2020 (UTC)

:::::::: For the record, [[27/16]] has the Tonic as a virtual fundamental as well, and seems to be the strongest example of a major sixth above the Tonic in this respect- [[5/3]], although simpler, implies a different note as the fundamental- again, this weakens tonal stability. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 20:16, 6 December 2020 (UTC)

::::::::: Again, among other things, I'll need to hear some examples by my own ears before I can evaluate it. I'm at the beginning of it, but ultimately I hope to have a convenient playground for doing such things. It already works for EDOs, so it should for the rational-number intervals and systems. Also, I have a comparison application based on circular keyboards, it works nicely and compares with just one intonation system, and I started to generalize it. — [[User:SAKryukov|SA]], ''Sunday 2020 December 6, 20:26 UTC''

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 ::::::: Aha, thank you for the clarification. I'll try to sort it out and take it into consideration later. For now, I'll complete the playable keyboard based on the exact same layout and the tonal system as Kite's; it won't prevent its modification or development some of variants of it in near future. &mdash;&nbsp;[[User:SAKryukov|SA]],&nbsp;''Sunday&nbsp;2020&nbsp;December&nbsp;6,&nbsp;20:14&nbsp;UTC''
-:::::::: For the record, [[27/16]] has the Tonic as a virtual fundamental as well, and seems to be among the strongest examples of a major sixth above the Tonic in this respect- [[5/3]], although simpler, implies a different note as the fundamental- again, this weakens tonal stability.  It is on the basis of [[32/27]]'s similar connection to the Tonic by means of a shared harmonic that makes that interval viable as far as I'm concerned.  Unfortunately, utilizing the interval between 27/16 and 32/27 results in something that doesn't have Rothenberg propriety, so I needed to pick a rational number with at least some measure of virtual-fundamental-based connection or shared-harmonic-based connection to the Tonic that also exhibits Rothenburg propriety relative to [[27/16]] and 77/64 was the smallest rational interval I could find that met those criteria. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 20:16, 6 December 2020 (UTC)
+:::::::: For the record, [[27/16]] has the Tonic as a virtual fundamental as well, and seems to be the strongest example of a major sixth above the Tonic in this respect- [[5/3]], although simpler, implies a different note as the fundamental- again, this weakens tonal stability. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 20:16, 6 December 2020 (UTC)
 ::::::::: Again, among other things, I'll need to hear some examples by my own ears before I can evaluate it. I'm at the beginning of it, but ultimately I hope to have a convenient playground for doing such things. It already works for EDOs, so it should for the rational-number intervals and systems. Also, I have a comparison application based on circular keyboards, it works nicely and compares with just one intonation system, and I started to generalize it. &mdash;&nbsp;[[User:SAKryukov|SA]],&nbsp;''Sunday&nbsp;2020&nbsp;December&nbsp;6,&nbsp;20:26&nbsp;UTC''