Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Euler–Fokker_genus> ?p ?o }
Showing triples 1 to 50 of
50
with 100 triples per page.
- Euler–Fokker_genus abstract "In music theory and tuning, an Euler–Fokker genus (plural: genera), named after Leonhard Euler and Adriaan Fokker, is a musical scale in just intonation whose pitches can be expressed as products of some of the members of some multiset of generating prime factors. Powers of two are usually ignored, because of the way the human ear perceives octaves.An x-dimensional tone-dimension contains x factors. \"An Euler-Fokker genus with two dimensions may be represented in a two-dimensional (rectangular) tone-grid, one with three dimensions in a three-dimensional (block-shaped) tone-lattice. Euler-Fokker genera are characterized by a listing of the number of steps in each dimension. The number of steps is represented by a repeated mention of the dimension, so that there arise descriptions such as [3 3 5 5], [3 5 7], [3 3 5 5 7 7 11 11], etc.\" For example, the multiset {3, 3, 7} yields the Euler–Fokker genus [3, 3, 7], which contains these pitches: 1 3 =3 7=7 3×3 =9 3×7=21 3×3×7=63Normalized to fall within an octave, these become: 1/1, 9/8, 21/16, 3/2, 7/4, 63/32. About this sound Play Euler genera are generated from the prime factors 3 and 5, whereas an Euler–Fokker genus can have factors of 7 or any higher prime number. The degree is the number of intervals which generate a genus. However, not all genera of the same degree have the same number of tones since [XXXYYY] may also be notated [XxYy], \"the degree is thus the sum of the exponents,\" and the number of pitches is obtained adding one to each exponent and then multiplying those ((X+1)×(Y+1)=Z).Adriaan Fokker wrote much of his music in Euler–Fokker genera expressed in 31-tone equal temperament. Alan Ridout also used Euler-Fokker genera.".
- Euler–Fokker_genus thumbnail Cuboid.png?width=300.
- Euler–Fokker_genus wikiPageID "3213692".
- Euler–Fokker_genus wikiPageLength "3362".
- Euler–Fokker_genus wikiPageOutDegree "26".
- Euler–Fokker_genus wikiPageRevisionID "596942959".
- Euler–Fokker_genus wikiPageWikiLink 31_equal_temperament.
- Euler–Fokker_genus wikiPageWikiLink Adriaan_Fokker.
- Euler–Fokker_genus wikiPageWikiLink Alan_Ridout.
- Euler–Fokker_genus wikiPageWikiLink Category:Musical_scales.
- Euler–Fokker_genus wikiPageWikiLink Category:Musical_tuning.
- Euler–Fokker_genus wikiPageWikiLink Greatest_common_divisor.
- Euler–Fokker_genus wikiPageWikiLink Harmonic_series_(music).
- Euler–Fokker_genus wikiPageWikiLink Harmonic_seventh.
- Euler–Fokker_genus wikiPageWikiLink Hexany.
- Euler–Fokker_genus wikiPageWikiLink Just_intonation.
- Euler–Fokker_genus wikiPageWikiLink Least_common_multiple.
- Euler–Fokker_genus wikiPageWikiLink Leonhard_Euler.
- Euler–Fokker_genus wikiPageWikiLink Major_second.
- Euler–Fokker_genus wikiPageWikiLink Multiplication.
- Euler–Fokker_genus wikiPageWikiLink Multiset.
- Euler–Fokker_genus wikiPageWikiLink Music_theory.
- Euler–Fokker_genus wikiPageWikiLink Musical_tuning.
- Euler–Fokker_genus wikiPageWikiLink Octave.
- Euler–Fokker_genus wikiPageWikiLink Otonality_and_Utonality.
- Euler–Fokker_genus wikiPageWikiLink Perfect_fifth.
- Euler–Fokker_genus wikiPageWikiLink Prime_number.
- Euler–Fokker_genus wikiPageWikiLink Scale_(music).
- Euler–Fokker_genus wikiPageWikiLink Septimal_comma.
- Euler–Fokker_genus wikiPageWikiLink Unison.
- Euler–Fokker_genus wikiPageWikiLink File:Cuboid.png.
- Euler–Fokker_genus wikiPageWikiLinkText "Euler-Fokker genera".
- Euler–Fokker_genus wikiPageWikiLinkText "Euler–Fokker genus".
- Euler–Fokker_genus wikiPageUsesTemplate Template:Audio.
- Euler–Fokker_genus wikiPageUsesTemplate Template:Musical_tuning.
- Euler–Fokker_genus wikiPageUsesTemplate Template:Reflist.
- Euler–Fokker_genus subject Category:Musical_scales.
- Euler–Fokker_genus subject Category:Musical_tuning.
- Euler–Fokker_genus hypernym Scale.
- Euler–Fokker_genus type Aircraft.
- Euler–Fokker_genus type Redirect.
- Euler–Fokker_genus type Scale.
- Euler–Fokker_genus comment "In music theory and tuning, an Euler–Fokker genus (plural: genera), named after Leonhard Euler and Adriaan Fokker, is a musical scale in just intonation whose pitches can be expressed as products of some of the members of some multiset of generating prime factors. Powers of two are usually ignored, because of the way the human ear perceives octaves.An x-dimensional tone-dimension contains x factors.".
- Euler–Fokker_genus label "Euler–Fokker genus".
- Euler–Fokker_genus sameAs Q5409001.
- Euler–Fokker_genus sameAs m.08zrby.
- Euler–Fokker_genus sameAs Q5409001.
- Euler–Fokker_genus wasDerivedFrom Euler–Fokker_genus?oldid=596942959.
- Euler–Fokker_genus depiction Cuboid.png.
- Euler–Fokker_genus isPrimaryTopicOf Euler–Fokker_genus.