Extended bra–ket notation: Difference between revisions
Dave Keenan (talk | contribs) →Examples: Replaced curly-bracket rket with angle-bracket ket because the curly form hasn't yet been explained at this point in the article. |
Cmloegcmluin (talk | contribs) m use template's rank=3 option |
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Some advanced practitioners of RTT use multivectors, such as [[wedgie]]s, as an alternative way to represent temperaments (besides mappings and comma bases). These multivectors come in various grades, such as 2-vectors and 3-vectors. In fact, ordinary vectors are simply 1-vectors. In order to distinguish a <math>g</math>-vector from a 1-vector, the brackets that would normally be used can be repeated <math>g</math> times, where <math>g</math> is the grade. | Some advanced practitioners of RTT use multivectors, such as [[wedgie]]s, as an alternative way to represent temperaments (besides mappings and comma bases). These multivectors come in various grades, such as 2-vectors and 3-vectors. In fact, ordinary vectors are simply 1-vectors. In order to distinguish a <math>g</math>-vector from a 1-vector, the brackets that would normally be used can be repeated <math>g</math> times, where <math>g</math> is the grade. | ||
For example, the 2-vector (bivector) representing meantone temperament uses two sets of brackets: {{multivector|1 4 4}}. The 3-covector representing 7-limit 31-ET | For example, the 2-vector (bivector) representing meantone temperament uses two sets of brackets: {{multivector|1 4 4}}. The 3-covector representing 7-limit 31-ET {{multicovector|rank=3|-87 72 -49 31}}. | ||
The repetition-for-multivectors extension was developed in November of 2003 by Dave Keenan<ref>https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_7525#7749</ref>. | The repetition-for-multivectors extension was developed in November of 2003 by Dave Keenan<ref>https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_7525#7749</ref>. | ||