Matches in SemOpenAlex for { <https://semopenalex.org/work/W2075741511> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2075741511 endingPage "2471" @default.
- W2075741511 startingPage "2471" @default.
- W2075741511 abstract "The algebra that the equally tempered scales obey is [Sz,S±] = ±c1S± and [S±,S−] = 0, where all are modulo N relations, and c1 is the generator of the scale labels. The coherent states |λ,n〉 are eigenvectors of S− with eigenvalues λ and where λN = 1. Similarities and differences between these equations and the quantum mechanical angular momentum algebra are discussed. The mean square variation δSz2 in a coherent state depends on M, the number of notes in the scale. δSz2 is minimum for M = 8, and the next higher δSz2 value belongs to the customary M = 7. The same conclusions hold true also for the complementary scales with M′ = N − M notes. Thus, one may speculate about the possibility of using M = 8 and M = 4 tones in the N = 12 semitone equally tempered scales in musical compositions." @default.
- W2075741511 created "2016-06-24" @default.
- W2075741511 creator A5049061443 @default.
- W2075741511 date "2008-10-01" @default.
- W2075741511 modified "2023-09-26" @default.
- W2075741511 title "Operator algebra and coherent states for equally tempered scales." @default.
- W2075741511 doi "https://doi.org/10.1121/1.4782712" @default.
- W2075741511 hasPublicationYear "2008" @default.
- W2075741511 type Work @default.
- W2075741511 sameAs 2075741511 @default.
- W2075741511 citedByCount "0" @default.
- W2075741511 crossrefType "journal-article" @default.
- W2075741511 hasAuthorship W2075741511A5049061443 @default.
- W2075741511 hasConcept C104317684 @default.
- W2075741511 hasConcept C105795698 @default.
- W2075741511 hasConcept C11413529 @default.
- W2075741511 hasConcept C114614502 @default.
- W2075741511 hasConcept C121332964 @default.
- W2075741511 hasConcept C136119220 @default.
- W2075741511 hasConcept C152026323 @default.
- W2075741511 hasConcept C156778621 @default.
- W2075741511 hasConcept C158448853 @default.
- W2075741511 hasConcept C158693339 @default.
- W2075741511 hasConcept C163258240 @default.
- W2075741511 hasConcept C17020691 @default.
- W2075741511 hasConcept C185592680 @default.
- W2075741511 hasConcept C202444582 @default.
- W2075741511 hasConcept C24890656 @default.
- W2075741511 hasConcept C2776291640 @default.
- W2075741511 hasConcept C2778755073 @default.
- W2075741511 hasConcept C2780992000 @default.
- W2075741511 hasConcept C33923547 @default.
- W2075741511 hasConcept C48103436 @default.
- W2075741511 hasConcept C54732982 @default.
- W2075741511 hasConcept C55493867 @default.
- W2075741511 hasConcept C62520636 @default.
- W2075741511 hasConcept C79035858 @default.
- W2075741511 hasConcept C84114770 @default.
- W2075741511 hasConcept C86339819 @default.
- W2075741511 hasConceptScore W2075741511C104317684 @default.
- W2075741511 hasConceptScore W2075741511C105795698 @default.
- W2075741511 hasConceptScore W2075741511C11413529 @default.
- W2075741511 hasConceptScore W2075741511C114614502 @default.
- W2075741511 hasConceptScore W2075741511C121332964 @default.
- W2075741511 hasConceptScore W2075741511C136119220 @default.
- W2075741511 hasConceptScore W2075741511C152026323 @default.
- W2075741511 hasConceptScore W2075741511C156778621 @default.
- W2075741511 hasConceptScore W2075741511C158448853 @default.
- W2075741511 hasConceptScore W2075741511C158693339 @default.
- W2075741511 hasConceptScore W2075741511C163258240 @default.
- W2075741511 hasConceptScore W2075741511C17020691 @default.
- W2075741511 hasConceptScore W2075741511C185592680 @default.
- W2075741511 hasConceptScore W2075741511C202444582 @default.
- W2075741511 hasConceptScore W2075741511C24890656 @default.
- W2075741511 hasConceptScore W2075741511C2776291640 @default.
- W2075741511 hasConceptScore W2075741511C2778755073 @default.
- W2075741511 hasConceptScore W2075741511C2780992000 @default.
- W2075741511 hasConceptScore W2075741511C33923547 @default.
- W2075741511 hasConceptScore W2075741511C48103436 @default.
- W2075741511 hasConceptScore W2075741511C54732982 @default.
- W2075741511 hasConceptScore W2075741511C55493867 @default.
- W2075741511 hasConceptScore W2075741511C62520636 @default.
- W2075741511 hasConceptScore W2075741511C79035858 @default.
- W2075741511 hasConceptScore W2075741511C84114770 @default.
- W2075741511 hasConceptScore W2075741511C86339819 @default.
- W2075741511 hasIssue "4_Supplement" @default.
- W2075741511 hasLocation W20757415111 @default.
- W2075741511 hasOpenAccess W2075741511 @default.
- W2075741511 hasPrimaryLocation W20757415111 @default.
- W2075741511 hasRelatedWork W1543166346 @default.
- W2075741511 hasRelatedWork W2064433034 @default.
- W2075741511 hasRelatedWork W2075999004 @default.
- W2075741511 hasRelatedWork W2159964792 @default.
- W2075741511 hasRelatedWork W2281137603 @default.
- W2075741511 hasRelatedWork W2360095388 @default.
- W2075741511 hasRelatedWork W2950767284 @default.
- W2075741511 hasRelatedWork W3105394806 @default.
- W2075741511 hasRelatedWork W3164801582 @default.
- W2075741511 hasRelatedWork W4366563387 @default.
- W2075741511 hasVolume "124" @default.
- W2075741511 isParatext "false" @default.
- W2075741511 isRetracted "false" @default.
- W2075741511 magId "2075741511" @default.
- W2075741511 workType "article" @default.