Richie's HEJI extensions: Difference between revisions
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The harmonic series scales from the gallery below are also available as a Dorico template (see [[File:Harmonic Series Scales.zip]]). | The harmonic series scales from the gallery below are also available as a Dorico template (see [[File:Harmonic Series Scales.zip]]). | ||
{| class="wikitable" | |||
|+ | |||
!descending | |||
!ascending | |||
!prime | |||
!ratio | |||
!otonal alteration (±) | |||
!cent deviation | |||
|- | |||
| | |||
| | |||
|53 | |||
|53/54 | |||
| - | |||
|32.4 | |||
|- | |||
| | |||
| | |||
|59 | |||
|236/243 | |||
| - | |||
|50.6 | |||
|- | |||
| | |||
| | |||
|61 | |||
|244/243 | |||
| + | |||
|7.1 | |||
|- | |||
| | |||
| | |||
|67 | |||
|2144/2187 | |||
| - | |||
|34.4 | |||
|- | |||
| | |||
| | |||
|71 | |||
|71/72 | |||
| - | |||
|24.2 | |||
|- | |||
| | |||
| | |||
|73 | |||
|73/72 | |||
| + | |||
|23.9 | |||
|- | |||
| | |||
| | |||
|79 | |||
|79/81 | |||
| - | |||
|43.3 | |||
|- | |||
| | |||
| | |||
|83 | |||
|249/256 | |||
| - | |||
|48.0 | |||
|- | |||
| | |||
| | |||
|89 | |||
|712/729 | |||
| - | |||
|40.9 | |||
|} | |||
== Gallery == | == Gallery == | ||
Revision as of 22:00, 25 January 2025
Richie's HEJI extensions are a set of 9 pairs of accidentals, designed by richie, that extend Helmholtz–Ellis notation's accidentals from the 47-limit to the 89-limit. These allow the notation of just intonation intervals with much higher prime factors, which are encountered relatively often with some approaches to JI such as primodality.
These accidentals are available as an OpenType font (see File:HEJI fonts.zip)
The harmonic series scales from the gallery below are also available as a Dorico template (see File:Harmonic Series Scales.zip).
| descending | ascending | prime | ratio | otonal alteration (±) | cent deviation |
|---|---|---|---|---|---|
| 53 | 53/54 | - | 32.4 | ||
| 59 | 236/243 | - | 50.6 | ||
| 61 | 244/243 | + | 7.1 | ||
| 67 | 2144/2187 | - | 34.4 | ||
| 71 | 71/72 | - | 24.2 | ||
| 73 | 73/72 | + | 23.9 | ||
| 79 | 79/81 | - | 43.3 | ||
| 83 | 249/256 | - | 48.0 | ||
| 89 | 712/729 | - | 40.9 |
Gallery
-
Accidental key -
Harmonic series scales from 26:52 to 34:68 -
Harmonic series scales from 36:72 to 48:96
