Helmholtz–Ellis notation: Difference between revisions
Added lead section, removed general notation external link (already in Notation), categories order |
Added formal commas for primes 37-47, misc. edits |
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'''Helmholtz-Ellis notation''' is a [[notation]] system for [[just intonation]] intervals up to the [[47-limit]]. It consists of a set of [[Nominal-accidental chain|accidentals]] defined by formal commas for each [[prime harmonic]]. | The '''Helmholtz-Ellis JI pitch notation''' ('''HEJI''') is a [[notation]] system for [[just intonation]] intervals up to the [[47-limit]]. It consists of a set of [[Nominal-accidental chain|accidentals]] defined by formal commas for each [[prime harmonic]]. | ||
Further accidentals were designed by [[richie]] for primes up to the [[89-limit]]; see [[richie's HEJI extensions]]. | Further accidentals were designed by [[richie]] for primes up to the [[89-limit]]; see [[richie's HEJI extensions]]. | ||
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=== Formal commas === | === Formal commas === | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
! Prime | ! Prime | ||
! Formal Comma | ! Formal Comma | ||
| Line 42: | Line 41: | ||
| [[31-limit|31]] | | [[31-limit|31]] | ||
| [[32/31]] | | [[32/31]] | ||
|- | |||
| [[37-limit|37]] | |||
| [[37/36]] | |||
|- | |||
| [[41-limit|41]] | |||
| [[82/81]] | |||
|- | |||
| [[43-limit|43]] | |||
| [[129/128]] | |||
|- | |||
| [[47-limit|47]] | |||
| [[752/729]] | |||
|} | |} | ||
| Line 119: | Line 130: | ||
| (todo) | | (todo) | ||
| Definition of the accidental is revised from 1024/1023 to 32/31<br>in the 2020 version by Plainsound Music Edition | | Definition of the accidental is revised from 1024/1023 to 32/31<br>in the 2020 version by Plainsound Music Edition | ||
|- | |||
| 37 | |||
| 37/32 | |||
| (todo) | |||
| (todo) | |||
| | |||
|- | |||
| 41 | |||
| 41/32 | |||
| (todo) | |||
| (todo) | |||
| | |||
|- | |||
| 43 | |||
| 43/32 | |||
| (todo) | |||
| (todo) | |||
| | |||
|- | |||
| 47 | |||
| 47/32 | |||
| (todo) | |||
| (todo) | |||
| | |||
|} | |} | ||
== Helmholtz-Ellis glyphs == | == Helmholtz-Ellis glyphs == | ||