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Between 2000 and 2003, Wolfgang von Schweinitz and Marc Sabat developed the Extended Helmholtz-Ellis Just Intonation (JI) pitch notation, a modern adaptation and extension of the notation principles first used by Hermann von Helmholtz, Arthur von Oettingen, and Alexander John Ellis that some other musicians use for notating extended just ...
The first is in equal temperament; the second is in just intonation. The pair of chords is repeated with a transition from equal temperament to just intonation between the two chords. In the equal temperament chords a roughness or beating can be heard at about 4 Hz and about 0.8 Hz. In the just intonation triad, this roughness is absent.
Benjamin Burwell Johnston Jr. (March 15, 1926 – July 21, 2019) was an American contemporary music composer, known for his use of just intonation.He was called "one of the foremost composers of microtonal music" by Philip Bush [1] and "one of the best non-famous composers this country has to offer" by John Rockwell.
RAGA in just intonation [2] Hairy Hippy Happy: Horn, trombone, tuba 2006–10 Marc Sabat: 23 [12] Just Ancient Loops: Multi-track cellos 2008–12 Michael Harrison: 11 Cantaloupe album (2012) [citation needed] Euler Lattice Spirals Scenery: String quartet 2011 Marc Sabat: 7 [12] Our Rainy Season: Flute, bass flute, alto saxophone, contrabass ...
In just intonation the quarter tone can be represented by the septimal quarter tone, 36:35 (48.77 cents), or by the undecimal quarter tone (i.e. the thirty-third harmonic), 33:32 (53.27 cents), approximately half the semitone of 16:15 or 25:24. The ratio of 36:35 is only 1.23 cents narrower than a 24-TET quarter tone.
The flat symbol (♭) is used in two ways: It is placed in key signatures to mark lines whose notes are flattened throughout that section of music; it may also be an "accidental" that precedes an individual note and indicates that the note should be lowered temporarily, until the following bar line.
A part notated with figured bass consists of a bass line notated with notes on a musical staff plus added numbers and accidentals (or in some cases (back)slashes added to a number) beneath the staff to indicate what intervals above the bass notes should be played, and therefore which inversions of which chords are to be played.
Major limma on C. In music, a major limma is an interval with the ratio of 135:128, which is the difference between two major tones (a ditone) and a minor third.It is equal to about 92.18 cents.