Temperament naming: Difference between revisions

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== Temperament and comma naming conventions ==
== Temperament and comma naming conventions ==
=== State of the art ===
=== State of the art ===
There was, in general, not a hard rule of naming temperaments, but examples to follow. Some notable features of naming might be confusing to beginners of RTT. Specifically:
There was, in general, not a hard rule of naming temperaments, but examples to follow. In 2004, [[Gene Ward Smith]] outlined a number of examples for reference: [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10667.html ''Some naming examples'']. In 2012, [[Ryan Avella]] abstracted a convention of naming temperaments: [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105566.html ''Naming Convention Suggestion'']. The main takeaway from the threads is that a name should be a common noun (thus written in lowercase), ideally consisting of a single word. This contrasts a scale in a temperament, e.g. machine vs Machine[6].  
* a name can be shared by a temperament as well as its [[strong extension]]s. For example, meantone was defined in the 5-, 7-, 11- and 13-limit, each temperament in the higher limit being a strong extension to the ones in the lower limit.
** Only the best and most obvious extension may share the original temperament's name.
** If a temperament does not have an obvious extension, or has multiple competing extensions, each should get a distinct name.  
** [[Weak extension]]s should never share the original temperament's name since their structures are very different.  


In 2004, [[Gene Ward Smith]] outlined a number of examples for reference: [https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_10667.html ''Some naming examples'']. In 2012, [[Ryan Avella]] abstracted a convention of naming temperaments: [https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_105566.html ''Naming Convention Suggestion'']. The main takeaway from the threads is:
Below are documented some notable features of naming which might be confusing to beginners of RTT.  
* a name should be a common noun (thus written in lowercase), ideally consisting of a single word.  


==== Use of a name for a temperament and its extensions ====
A name can be shared by a temperament as well as its [[strong extension]]s. For example, meantone was defined in the 5-, 7-, 11- and 13-limit, each temperament in the higher limit being a strong extension to the ones in the lower limit.
* Only the best and most obvious extension may share the original temperament's name.
* If a temperament does not have an obvious extension, or has multiple competing extensions, each should get a distinct name.
* [[Weak extension]]s should never share the original temperament's name since their structures are very different.
==== Use of a related pair of names for prime-limit and subgroup temperaments ====
The following practice was established around 2022–2023 when many higher-limit commas were getting named:  
The following practice was established around 2022–2023 when many higher-limit commas were getting named:  
* If a comma is named the "''X''-isma", then the temperament which tempers out the ''X''-isma in the minimal prime [[subgroup]] containing that comma should be named "''X''-ic" and the temperament which tempers out the ''X''-isma in the minimal [[prime limit]] containing that comma should be named "''X-''ismic". A comma page should ideally always include a mention of both of those temperaments. The temperaments and obvious and/or strong extensions may be discussed either there or on linked-to dedicated pages.  
* If a comma is named the "''X''-isma", then the temperament which tempers out the ''X''-isma in the minimal prime [[subgroup]] containing that comma should be named "''X''-ic" and the temperament which tempers out the ''X''-isma in the minimal [[prime limit]] containing that comma should be named "''X-''ismic". A comma page should ideally always include a mention of both of those temperaments. The temperaments and obvious and/or strong extensions may be discussed either there or on linked-to dedicated pages.