User talk:FloraC: Difference between revisions

Line 74:

:: Thank you, I appreciate your reply :) I will go ahead with those changes now. --[[User:BudjarnLambeth|BudjarnLambeth]] ([[User talk:BudjarnLambeth|talk]]) 07:14, 5 December 2024 (UTC)

== Subsets and Supersets af AFDOs (Pages AFDO, 2afdo, 3afdo, …n-afdo) ==

Flora, you have put so much effort and time into maintaining and editing the ''AFDO'' pages - thank you for that.

There is one aspect of these pages that I'm not sure I understood correctly, so I'll just address my question directly to you. It's about the terms ''subset'' and ''superset'' of an AFDO.

On the ''2afdo'' page we read:

2afdo ''“is a superset of 1afdo (equivalent to 1edo) and a subset of 3afdo”''.

Can 2afdo be a subset of 3afdo when no intervals are shared (except the octaves)?

Similarly, the ''3afdo'' page explains...

3afdo ''“is a superset of 2afdo and a subset of 4afdo”'',

but neither has any intervals in common with 3afdo (except octaves).

The AFDO page tells us that in general...

''“All AFDOs are subsets of just intonation, and up to transposition, any AFDO is a superset of a smaller AFDO and a subset of a larger AFDO (i.e. n-afdo is a superset of (n - 1)-afdo and a subset of (n + 1)-afdo for any integer n > 1).”''

As you may have noticed I’m not convinced that the example given is correct.

I've been playing around with overtone scales for a while now, in order to construct a prototype keyboard with dynamic intonation control. Personally I would summarize my experience with this project as follows:

• To create a '''superset''' of an n-afdo , I’d multiply ''n'' by a (preferably small) integer number including 2 (i.e. 9-afdo is a superset of 3-afdo).

• To create a '''subset''' of an n-afdo , I’d divide ''n'' by any of its prime factors

(i.e. 5-afdo and 3-afdo are both subsets of 15-afdo).

Your comment is very much appreciated – thanks for your time.

All the best --[[User:Holger Stoltenberg|Holger Stoltenberg]] ([[User talk:Holger Stoltenberg|talk]]) 11:35, 12 December 2024 (UTC)

@@ Line 74: / Line 74: @@
 :: Thank you, I appreciate your reply :) I will go ahead with those changes now. --[[User:BudjarnLambeth|BudjarnLambeth]] ([[User talk:BudjarnLambeth|talk]]) 07:14, 5 December 2024 (UTC)
+== Subsets and Supersets af AFDOs (Pages AFDO, 2afdo, 3afdo, …n-afdo) ==
+Flora, you have put so much effort and time into maintaining and editing the ''AFDO'' pages - thank you for that.
+There is one aspect of these pages that I'm not sure I understood correctly, so I'll just address my question directly to you. It's about the terms ''subset'' and ''superset'' of an AFDO.
+On the ''2afdo'' page we read:<br>
+afdo ''“is a superset of 1afdo (equivalent to 1edo) and a subset of 3afdo”''.<br>
+Can 2afdo be a subset of 3afdo when no intervals are shared (except the octaves)?
+Similarly, the ''3afdo'' page explains...<br>
+afdo ''“is a superset of 2afdo and a subset of 4afdo”'',<br>
+but neither has any intervals in common with 3afdo (except octaves).
+The AFDO page tells us that in general...<br>
+''“All AFDOs are subsets of just intonation, and up to transposition, any AFDO is a superset of a smaller AFDO and a subset of a larger AFDO (i.e. n-afdo is a superset of (n - 1)-afdo and a subset of (n + 1)-afdo for any integer n > 1).”''<br>
+As you may have noticed I’m not convinced that the example given is correct.
+I've been playing around with overtone scales for a while now, in order to construct a prototype keyboard with dynamic intonation control. Personally I would summarize my experience with this project as follows:
+•	To create a '''superset''' of an n-afdo , I’d multiply ''n'' by a (preferably small) integer number including 2 (i.e. 9-afdo is a superset of 3-afdo).
+•	To create a '''subset''' of an n-afdo , I’d divide ''n'' by any of its prime factors
+(i.e. 5-afdo and  3-afdo are both subsets of 15-afdo).
+Your comment is very much appreciated – thanks for your time.<br>
+All the best --[[User:Holger Stoltenberg|Holger Stoltenberg]] ([[User talk:Holger Stoltenberg|talk]]) 11:35, 12 December 2024 (UTC)