Temperament merging: Difference between revisions

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The | ("pipe") symbol may be used to notate comma-merging, as in meantone|porcupine = 7. We could read this as "meantone or porcupine" or "meantone comma-merge porcupine is 7-ET". As a mnemonic, because commas are represented by vectors, which are vertical columns, when they merge together into matrices, the pipe resembles the seam between them as they merge.

The & symbol is associated with the word "and", and in many programming languages, the | symbol is associated with the word "or". So a further mnemonic can be used to remember this pair of symbols: <math>~~T_1~~ \& ~~T_2~~</math> is the merge that results in the temperament that tempers out the commas tempered out by <math>~~T_1~~</math> ''and'' <math>~~T_2~~</math>, and <math>~~T_1~~ | ~~T_2~~</math> is the merge that results in the temperament that tempers out the commas tempered out by <math>~~T_1~~</math> ''or'' <math>~~T_2~~</math>.

The & symbol is associated with the word "and", and in many programming languages, the | symbol is associated with the word "or". So a further mnemonic can be used to remember this pair of symbols: <math>𝓣_1 \& 𝓣_2</math> is the merge that results in the temperament that tempers out the commas tempered out by <math>𝓣_1</math> ''and'' <math>𝓣_2</math>, and <math>𝓣_1 | 𝓣_2</math> is the merge that results in the temperament that tempers out the commas tempered out by <math>𝓣_1</math> ''or'' <math>𝓣_2</math>.

== Cross-breeding ==

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 The | ("pipe") symbol may be used to notate comma-merging, as in meantone|porcupine = 7. We could read this as "meantone or porcupine" or "meantone comma-merge porcupine is 7-ET". As a mnemonic, because commas are represented by vectors, which are vertical columns, when they merge together into matrices, the pipe resembles the seam between them as they merge.
-The & symbol is associated with the word "and", and in many programming languages, the | symbol is associated with the word "or". So a further mnemonic can be used to remember this pair of symbols: <math>T_1 \& T_2</math> is the merge that results in the temperament that tempers out the commas tempered out by <math>T_1</math> ''and'' <math>T_2</math>, and <math>T_1 | T_2</math> is the merge that results in the temperament that tempers out the commas tempered out by <math>T_1</math> ''or'' <math>T_2</math>.
+The & symbol is associated with the word "and", and in many programming languages, the | symbol is associated with the word "or". So a further mnemonic can be used to remember this pair of symbols: <math>𝓣_1 \& 𝓣_2</math> is the merge that results in the temperament that tempers out the commas tempered out by <math>𝓣_1</math> ''and'' <math>𝓣_2</math>, and <math>𝓣_1 | 𝓣_2</math> is the merge that results in the temperament that tempers out the commas tempered out by <math>𝓣_1</math> ''or'' <math>𝓣_2</math>.
 == Cross-breeding ==