Tuning ranges of regular temperaments: Difference between revisions

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[[Andrew Milne]], [[Bill Sethares]] and [[James Plamondon]] defined some important tuning ranges. Their "valid" range was defined in ''Tuning Continua and Keyboard Layouts'' in the ''Journal of Mathematics and Music''<ref>Andrew Milne, William Sethares & James Plamondon (2008) Tuning continua and keyboard layouts, Journal of Mathematics and Music, 2:1, 1-19, DOI: [https://doi.org/10.1080/17459730701828677 10.1080/17459730701828677]</ref>; according to Milne, this tuning range was Sethares's contribution. Their "purer" range was discussed in the technical report ''X_System'' in the Open University’s repository.

~~For~~ some time and to some extent on the wiki and in the regular temperament community ~~the "purer tuning range" was termed the "strict tuning range"~~. In May 2021 Milne agreed with a community effort to ~~give them~~ the more specific ~~names~~ "diamond monotone" and "diamond ~~pure~~", respectively, due to the fact that they are based on the effect the temperament has on a relevant tonality diamond. "Diamond nice" is the combination of both conditions.

In 2014, these tuning ranges went through much discussion, by Milne, Gene Ward Smith, and others. The "valid" range was proposed names such as "lax", "monotone", and "normal", while the "purer" range was proposed to be named "strict", and the combination proposed to be named "nice". After some churn (in the edit history of this page), valid/lax/monotone/normal became "valid", while purer/strict became "nice", and the combination became "strict". In other words, "nice" and "strict" for some reason got switched, and for some time and to some extent on the wiki and in the regular temperament community that's how they stuck.

In May 2021 Milne agreed with a community effort to revise the names to be more specific and closer to their original meaning. So the original "valid" became "diamond monotone" and the original "purer" become "diamond purer", respectively, due to the fact that they are based on the effect the temperament has on a relevant tonality diamond. "Diamond nice" is the combination of both conditions.

* [[diamond monotone]]

* [[diamond ~~pure~~]]

* [[diamond purer]]

* [[diamond nice]]

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 [[Andrew Milne]], [[Bill Sethares]] and [[James Plamondon]] defined some important tuning ranges. Their "valid" range was defined in ''Tuning Continua and Keyboard Layouts'' in the ''Journal of Mathematics and Music''<ref>Andrew Milne, William Sethares & James Plamondon (2008) Tuning continua and keyboard layouts, Journal of Mathematics and Music, 2:1, 1-19, DOI: [https://doi.org/10.1080/17459730701828677 10.1080/17459730701828677]</ref>; according to Milne, this tuning range was Sethares's contribution. Their "purer" range was discussed in the technical report ''X_System'' in the Open University’s repository.
-For some time and to some extent on the wiki and in the regular temperament community the "purer tuning range" was termed the "strict tuning range". In May 2021 Milne agreed with a community effort to give them the more specific names "diamond monotone" and "diamond pure", respectively, due to the fact that they are based on the effect the temperament has on a relevant tonality diamond. "Diamond nice" is the combination of both conditions.
+In 2014, these tuning ranges went through much discussion, by Milne, Gene Ward Smith, and others. The "valid" range was proposed names such as "lax", "monotone", and "normal", while the "purer" range was proposed to be named "strict", and the combination proposed to be named "nice". After some churn (in the edit history of this page), valid/lax/monotone/normal became "valid", while purer/strict became "nice", and the combination became "strict". In other words, "nice" and "strict" for some reason got switched, and for some time and to some extent on the wiki and in the regular temperament community that's how they stuck.
+In May 2021 Milne agreed with a community effort to revise the names to be more specific and closer to their original meaning. So the original "valid" became "diamond monotone" and the original "purer" become "diamond purer", respectively, due to the fact that they are based on the effect the temperament has on a relevant tonality diamond. "Diamond nice" is the combination of both conditions.
 * [[diamond monotone]]
-* [[diamond pure]]
+* [[diamond purer]]
 * [[diamond nice]]