User:FloraC/Temperament extension issues: Difference between revisions

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{{Editable user page|Please add name proposals. Discussion goes to the talk page. }}

A list of issues with temperament extensions.

== Preliminaries ==

=== Objectives ===

"It's just labeling mathematical objects." I hear you say.

The goal is to make the scope of a temp name more coherent so that you need less modification and explanation to the names you use, ultimately to facilitate exploring the space of useful ideas and to reduce the friction in the communication of these ideas.

=== Terms ===

; Segment

: For rank-2 temps, refers to a tuning range of an extension, often bounded by equal temps. Segments often zigzag, i.e., the tuning of the added element changes direction as the tuning of the generator crosses a boundary, entering the range of another extension. A ''central segment'' is a range, among many, that takes the middle part of the original tuning range, and thus is most fit for a canonical extension.

=== Other notes ===

* The edo joins used here imply tuning ranges.

== Open issues ==

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: 7-limit → 11-limit

: 11-limit alphatrident should be decanonicalized. The tuning is not very representative of 7-limit alphatrident. Specifically, alphatrident has three 11-limit extensions: 176 & 229, 229 & 282, and 282 & 335d. The first and last are supported by 53 which means they are simpler, but they are not representative of the 7-limit optimum. The middle one is representative of the 7-limit optimum, but is very complex. Therefore, the situation is similar to slendric, where none of the extensions should be canon.

: Proposed solution:

; Chlorine

: 7-limit → 11-limit

: 11-limit chlorine should be decanonicalized. The 612 & 935 extension isn't more complex (with the same Graham complexity in the 11-odd-limit) but is way more accurate.

: Proposed solution:

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: 7-limit → 11-limit

: 11-limit lunatic should be decanonicalized. Lunatic has at least three extensions: 205 & 323, 323 & 441, and 441 & 559. Perhaps, the canonicity of 441 & 559 could be argued on the basis that the 7-limit optimum is very close to 441; however, compared to the good efficiency and portability of the 7-limit temperament, this 11-limit extension is pretty mid.

: Proposed solution:

; Maquila

: 5-limit → 7-limit

: 7-limit maquila should be decanonicalized, or alternatively the 5-limit restriction should. In either case, it's a low-accuracy, high-badness extension that uses the dual-7 65edo.

: Proposed solution:

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: Paradigmic has two notable 13-limit extensions: 80 & 99e and 80 & 99ef, and like above, 80 & 99e is the simpler 19-form whereas 80 & 99ef is more accurate. 80 & 99ef also supports 13-limit parapyth, which is an extra point. It follows that 13-limit paradigmic needs a distinct name too.

: Proposed solution:

~~; Secund~~

~~: 11-limit → 13-limit~~

~~: 13-limit secund should be decanonicalized, for the other extension is obviously way better.~~

~~: Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: pending community reactions.~~

; Tertiaseptal

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=== Rank-3 temperaments ===

~~; Agni~~

~~: 11-limit → 13-limit~~

: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72, even tho the latter has a little higher badness. Proposing to rename it to pavaka, after another name of Agni.

~~: Proposed solution: 13-limit agni → pavaka. Status: pending community reactions.~~

; Artemis

: 11-limit → 13-limit

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: 11-limit nessafof should be decanonicalized. Extending nessafof to the 11-limit is complicated since both 84edo and 99edo have ambiguous interpretations (see the case with parakleismic). Currently we have catalogued the two low-complexity 15-form extensions, which makes sense. One is being called ''nessa'' so the other may simply be ''fof''.

: Proposed solution: 11-limit nessafof → fof. Status: changed.

; Secund

: 11-limit → 13-limit

: 13-limit secund should be decanonicalized, for the other extension is obviously way better.

: Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: changed.

=== Rank-3 temperaments ===

; Agni

: 11-limit → 13-limit

: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72, even tho the latter has a little higher badness. Proposing to rename it to pavaka, after another name of Agni.

: Proposed solution: 13-limit agni → pavaka. Status: changed.

; Aphrodite

: 11-limit → 13-limit

@@ Line 1: / Line 1: @@
-{{Editable user page|Please add ideas and name proposals. }}
+{{Editable user page|Please add name proposals. Discussion goes to the talk page. }}
 A list of issues with temperament extensions.
+== Preliminaries ==
+=== Objectives ===
+"It's just labeling mathematical objects." I hear you say.
+The goal is to make the scope of a temp name more coherent so that you need less modification and explanation to the names you use, ultimately to facilitate exploring the space of useful ideas and to reduce the friction in the communication of these ideas.
+=== Terms ===
+; Segment
+: For rank-2 temps, refers to a tuning range of an extension, often bounded by equal temps. Segments often zigzag, i.e., the tuning of the added element changes direction as the tuning of the generator crosses a boundary, entering the range of another extension. A ''central segment'' is a range, among many, that takes the middle part of the original tuning range, and thus is most fit for a canonical extension.
+=== Other notes ===
+* The edo joins used here imply tuning ranges.
 == Open issues ==
@@ Line 8: / Line 21: @@
 : 7-limit → 11-limit
 : 11-limit alphatrident should be decanonicalized. The tuning is not very representative of 7-limit alphatrident. Specifically, alphatrident has three 11-limit extensions: 176 & 229, 229 & 282, and 282 & 335d. The first and last are supported by 53 which means they are simpler, but they are not representative of the 7-limit optimum. The middle one is representative of the 7-limit optimum, but is very complex. Therefore, the situation is similar to slendric, where none of the extensions should be canon.
+: Proposed solution:
+; Chlorine
+: 7-limit → 11-limit
+: 11-limit chlorine should be decanonicalized. The 612 & 935 extension isn't more complex (with the same Graham complexity in the 11-odd-limit) but is way more accurate.
 : Proposed solution:
@@ Line 38: / Line 56: @@
 : 7-limit → 11-limit
 : 11-limit lunatic should be decanonicalized. Lunatic has at least three extensions: 205 & 323, 323 & 441, and 441 & 559. Perhaps, the canonicity of 441 & 559 could be argued on the basis that the 7-limit optimum is very close to 441; however, compared to the good efficiency and portability of the 7-limit temperament, this 11-limit extension is pretty mid.
+: Proposed solution:
+; Maquila
+: 5-limit → 7-limit
+: 7-limit maquila should be decanonicalized, or alternatively the 5-limit restriction should. In either case, it's a low-accuracy, high-badness extension that uses the dual-7 65edo.
 : Proposed solution:
@@ Line 56: / Line 79: @@
 : Paradigmic has two notable 13-limit extensions: 80 & 99e and 80 & 99ef, and like above, 80 & 99e is the simpler 19-form whereas 80 & 99ef is more accurate. 80 & 99ef also supports 13-limit parapyth, which is an extra point. It follows that 13-limit paradigmic needs a distinct name too.
 : Proposed solution:
-; Secund
-: 11-limit → 13-limit
-: 13-limit secund should be decanonicalized, for the other extension is obviously way better.
-: Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: pending community reactions.
 ; Tertiaseptal
@@ Line 84: / Line 102: @@
 === Rank-3 temperaments ===
-; Agni
-: 11-limit → 13-limit
-: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72, even tho the latter has a little higher badness. Proposing to rename it to pavaka, after another name of Agni.
-: Proposed solution: 13-limit agni → pavaka. Status: pending community reactions.
 ; Artemis
 : 11-limit → 13-limit
@@ Line 152: / Line 165: @@
 : 11-limit nessafof should be decanonicalized. Extending nessafof to the 11-limit is complicated since both 84edo and 99edo have ambiguous interpretations (see the case with parakleismic). Currently we have catalogued the two low-complexity 15-form extensions, which makes sense. One is being called ''nessa'' so the other may simply be ''fof''.
 : Proposed solution: 11-limit nessafof → fof. Status: changed.
+; Secund
+: 11-limit → 13-limit
+: 13-limit secund should be decanonicalized, for the other extension is obviously way better.
+: Proposed solution: delete 13-limit secund. Secundly → 13-limit secund. Status: changed.
 === Rank-3 temperaments ===
+; Agni
+: 11-limit → 13-limit
+: 13-limit agni should be decanonicalized. There's no reason to favor 31 & 72 over 41 & 72, even tho the latter has a little higher badness. Proposing to rename it to pavaka, after another name of Agni.
+: Proposed solution: 13-limit agni → pavaka. Status: changed.
 ; Aphrodite
 : 11-limit → 13-limit