Ben Johnston's notation: Difference between revisions

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m F♯23 is 115/81; you’re looking for F♯+23
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{{Wikipedia| Ben Johnston (composer) #Staff notation}}
{{Wikipedia| Ben Johnston (composer) #Staff notation}}


Composer '''[[Ben Johnston]]'s notation''' is a staff notation system for [[just intonation]]. It was developed up to the [[31-limit]], employed in his String Quartet No. 9, although intervals exceeding the [[13-limit]] are encountered mostly incidentally in his music.
'''Ben Johnston's notation''' is a staff notation system for [[just intonation]]. [[Ben Johnston]] developed it up to the [[31-limit]], employed in his String Quartet No. 9, although intervals exceeding the [[13-limit]] are encountered mostly incidentally in his music.


The base notes (white keys on the piano) are selected so that the chord F A C E G B D consists of three stacked 4:5:6 chords, i.e. F A C, C E G, and G B D are just major triads. Then the following symbols are used for inflections, all of which denote [[superparticular]] ratios or their reciprocals:
The base notes (white keys on the piano) are selected so that the chord F A C E G B D consists of three stacked 4:5:6 chords, i.e. F A C, C E G, and G B D are just major triads. Then the following symbols are used for inflections, all of which denote [[superparticular]] ratios or their reciprocals:


{| class="wikitable"
{| class="wikitable center-all"
|+ Johnston notation inflections
|+ Johnston notation inflections
|-
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