Temperament naming: Difference between revisions

Line 11:

==== 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.

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. The reason is sometimes you get the higher-limit intervals "for free" when using the lower-limit temperament, so the following notes should be taken:

* 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.

Line 17:

==== 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:

It is often useful to investigate the implied full prime-limit temperament as well as the subgroup temperaments for a comma, especially in the higher limits where there is a shift of interest towards the subgroups. 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.

* It is also valid to use "''X''-sma" instead of ''X''-isma and "''X''-smic" instead of ''X''-ismic, with ''X''-ic being unchanged, but ''X''-isma is more common as it is often less awkward to pronounce and spell.

@@ Line 11: / Line 11: @@
 ==== 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.
+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. The reason is sometimes you get the higher-limit intervals "for free" when using the lower-limit temperament, so the following notes should be taken:
 * 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.
@@ Line 17: / Line 17: @@
 ==== 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:
+It is often useful to investigate the implied full prime-limit temperament as well as the subgroup temperaments for a comma, especially in the higher limits where there is a shift of interest towards the subgroups. 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.
 * It is also valid to use "''X''-sma" instead of ''X''-isma and "''X''-smic" instead of ''X''-ismic, with ''X''-ic being unchanged, but ''X''-isma is more common as it is often less awkward to pronounce and spell.