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- 7-limit_tuning abstract "7-limit or septimal tunings and intervals are musical instrument tunings that have a limit of seven: the largest prime factor contained in the interval ratios between pitches is seven. Thus, for example, 50:49 is a 7-limit interval, but 14:11 is not.For example, the greater just minor seventh, 9:5 About this sound Play is a 5-limit ratio, the harmonic seventh has the ratio 7:4 and is thus a septimal interval. Similarly, the septimal chromatic semitone, 21:20, is a septimal interval as 21÷7=3. The harmonic seventh is used in the barbershop seventh chord and music. (About this sound Play ) Compositions with septimal tunings include La Monte Young's The Well-Tuned Piano, Ben Johnston's String Quartet No. 4, and Lou Harrison's Incidental Music for Corneille's Cinna.The Great Highland Bagpipe is tuned to a ten-note seven-limit scale: 1:1, 9:8, 5:4, 4:3, 27:20, 3:2, 5:3, 7:4, 16:9, 9:5.In the 2nd century Ptolemy described the septimal intervals: 7/4, 8/7, 7/6, 12/7, 7/5, and 10/7.Those considering 7 to be consonant include Marin Mersenne, Giuseppe Tartini, Leonhard Euler, François-Joseph Fétis, J. A. Serre, Moritz Hauptmann, Alexander John Ellis, Wilfred Perrett, Max Friedrich Meyer.Those considering 7 to be dissonant include Gioseffo Zarlino, René Descartes, Jean-Philippe Rameau, Hermann von Helmholtz, A. J. von Öttingen, Hugo Riemann, Colin Brown, and Paul Hindemith (\"chaos\").".
- 7-limit_tuning thumbnail Harmonic_seventh_on_C.png?width=300.
- 7-limit_tuning wikiPageID "34678534".
- 7-limit_tuning wikiPageLength "5413".
- 7-limit_tuning wikiPageOutDegree "70".
- 7-limit_tuning wikiPageRevisionID "696566291".
- 7-limit_tuning wikiPageWikiLink 31_equal_temperament.
- 7-limit_tuning wikiPageWikiLink 7_(number).
- 7-limit_tuning wikiPageWikiLink Alexander_John_Ellis.
- 7-limit_tuning wikiPageWikiLink Arthur_von_Oettingen.
- 7-limit_tuning wikiPageWikiLink Barbershop_music.
- 7-limit_tuning wikiPageWikiLink Ben_Johnston_(composer).
- 7-limit_tuning wikiPageWikiLink Category:7-limit_tuning_and_intervals.
- 7-limit_tuning wikiPageWikiLink Consonance_and_dissonance.
- 7-limit_tuning wikiPageWikiLink Five-limit_tuning.
- 7-limit_tuning wikiPageWikiLink François-Joseph_Fétis.
- 7-limit_tuning wikiPageWikiLink Gioseffo_Zarlino.
- 7-limit_tuning wikiPageWikiLink Giuseppe_Tartini.
- 7-limit_tuning wikiPageWikiLink Great_Highland_Bagpipe.
- 7-limit_tuning wikiPageWikiLink Harmonic_seventh.
- 7-limit_tuning wikiPageWikiLink Harmonic_seventh_chord.
- 7-limit_tuning wikiPageWikiLink Hermann_von_Helmholtz.
- 7-limit_tuning wikiPageWikiLink Hugo_Riemann.
- 7-limit_tuning wikiPageWikiLink Interval_(music).
- 7-limit_tuning wikiPageWikiLink Interval_ratio.
- 7-limit_tuning wikiPageWikiLink J._A._Serre.
- 7-limit_tuning wikiPageWikiLink Jean-Philippe_Rameau.
- 7-limit_tuning wikiPageWikiLink La_Monte_Young.
- 7-limit_tuning wikiPageWikiLink Lattice_(music).
- 7-limit_tuning wikiPageWikiLink Leonhard_Euler.
- 7-limit_tuning wikiPageWikiLink Limit_(music).
- 7-limit_tuning wikiPageWikiLink Lou_Harrison.
- 7-limit_tuning wikiPageWikiLink Major_second.
- 7-limit_tuning wikiPageWikiLink Major_sixth.
- 7-limit_tuning wikiPageWikiLink Major_third.
- 7-limit_tuning wikiPageWikiLink Marin_Mersenne.
- 7-limit_tuning wikiPageWikiLink Max_Friedrich_Meyer.
- 7-limit_tuning wikiPageWikiLink Minor_seventh.
- 7-limit_tuning wikiPageWikiLink Minor_sixth.
- 7-limit_tuning wikiPageWikiLink Minor_third.
- 7-limit_tuning wikiPageWikiLink Moritz_Hauptmann.
- 7-limit_tuning wikiPageWikiLink Musical_tuning.
- 7-limit_tuning wikiPageWikiLink Paul_Hindemith.
- 7-limit_tuning wikiPageWikiLink Perfect_fifth.
- 7-limit_tuning wikiPageWikiLink Perfect_fourth.
- 7-limit_tuning wikiPageWikiLink Pitch_(music).
- 7-limit_tuning wikiPageWikiLink Prime_number.
- 7-limit_tuning wikiPageWikiLink Ptolemy.
- 7-limit_tuning wikiPageWikiLink René_Descartes.
- 7-limit_tuning wikiPageWikiLink Scale_(music).
- 7-limit_tuning wikiPageWikiLink Septimal_chromatic_semitone.
- 7-limit_tuning wikiPageWikiLink Septimal_minor_third.
- 7-limit_tuning wikiPageWikiLink Septimal_tritone.
- 7-limit_tuning wikiPageWikiLink Septimal_whole_tone.
- 7-limit_tuning wikiPageWikiLink Subminor_and_supermajor.
- 7-limit_tuning wikiPageWikiLink The_Well-Tuned_Piano.
- 7-limit_tuning wikiPageWikiLink Tonality_diamond.
- 7-limit_tuning wikiPageWikiLink Unison.
- 7-limit_tuning wikiPageWikiLink Wilfred_Perrett.
- 7-limit_tuning wikiPageWikiLink Wolf_interval.
- 7-limit_tuning wikiPageWikiLink Đàn_bầu.
- 7-limit_tuning wikiPageWikiLink File:Harmonic_seventh_on_C.png.
- 7-limit_tuning wikiPageWikiLink File:Septimal_chromatic_semitone_on_C.png.
- 7-limit_tuning wikiPageWikiLink File:Septimal_major_third_on_C.png.
- 7-limit_tuning wikiPageWikiLink File:Septimal_minor_third_on_C.png.
- 7-limit_tuning wikiPageWikiLinkText "7-limit tuning".
- 7-limit_tuning wikiPageWikiLinkText "7-limit".
- 7-limit_tuning wikiPageUsesTemplate Template:Audio.
- 7-limit_tuning wikiPageUsesTemplate Template:Music.
- 7-limit_tuning wikiPageUsesTemplate Template:Musical_tuning.
- 7-limit_tuning wikiPageUsesTemplate Template:Reflist.
- 7-limit_tuning subject Category:7-limit_tuning_and_intervals.
- 7-limit_tuning type Tuning.
- 7-limit_tuning type Concept.
- 7-limit_tuning comment "7-limit or septimal tunings and intervals are musical instrument tunings that have a limit of seven: the largest prime factor contained in the interval ratios between pitches is seven. Thus, for example, 50:49 is a 7-limit interval, but 14:11 is not.For example, the greater just minor seventh, 9:5 About this sound Play is a 5-limit ratio, the harmonic seventh has the ratio 7:4 and is thus a septimal interval. Similarly, the septimal chromatic semitone, 21:20, is a septimal interval as 21÷7=3.".
- 7-limit_tuning label "7-limit tuning".
- 7-limit_tuning sameAs Q4642888.
- 7-limit_tuning sameAs Septimalenreeks.
- 7-limit_tuning sameAs m.0j28m_9.
- 7-limit_tuning sameAs Q4642888.
- 7-limit_tuning wasDerivedFrom 7-limit_tuning?oldid=696566291.
- 7-limit_tuning depiction Harmonic_seventh_on_C.png.
- 7-limit_tuning isPrimaryTopicOf 7-limit_tuning.