Helmholtz–Ellis notation: Difference between revisions
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== Harmonic primes == | == Harmonic primes == | ||
{| class="wikitable sortable" | {| class="wikitable sortable center-all left-5" | ||
| | ! rowspan="2" |Prime | ||
! rowspan="2" |Just Ratio | |||
!Just | ! colspan="2" |Notation (assuming 1/1 is C) | ||
! | ! rowspan="2" |Comments | ||
assuming 1/1 is C | |||
!Comments | |||
|- | |- | ||
! 2020 version | |||
! 2004 version | |||
|- | |- | ||
| | | 1 | ||
| | | 1/1 | ||
|[[File: | | [[File:HejiC.svg|48x48px]] | ||
|Default staff notation represents Pythagorean tuning | | [[File:HejiC.svg|48x48px]] | ||
| Default staff notation represents Pythagorean tuning | |||
|- | |- | ||
|5 | | 3 | ||
|5/4 | | 3/2 | ||
|[[File:Heji17.svg|48x48px]][[File:HejiE.svg|48x48px]] | | [[File:HejiG.svg|48x48px]] | ||
| [[File:HejiG.svg|48x48px]] | |||
| Default staff notation represents Pythagorean tuning | |||
|- | |||
| 5 | |||
| 5/4 | |||
| [[File:Heji17.svg|48x48px]][[File:HejiE.svg|48x48px]] | |||
| [[File:Heji17.svg|48x48px]][[File:HejiE.svg|48x48px]] | |||
| | | | ||
|- | |- | ||
|7 | | 7 | ||
|7/4 | | 7/4 | ||
|[[File:Heji37.svg|48x48px]][[File:Heji11.svg|48x48px]][[File:HejiB.svg|48x48px]] | | [[File:Heji37.svg|48x48px]][[File:Heji11.svg|48x48px]][[File:HejiB.svg|48x48px]] | ||
| [[File:Heji37.svg|48x48px]][[File:Heji11.svg|48x48px]][[File:HejiB.svg|48x48px]] | |||
| | | | ||
|- | |- | ||
|11 | | 11 | ||
|11/8 | | 11/8 | ||
|[[File:Heji41.svg|48x48px]][[File:HejiF.svg|48x48px]] | | [[File:Heji41.svg|48x48px]][[File:HejiF.svg|48x48px]] | ||
| [[File:Heji41.svg|48x48px]][[File:HejiF.svg|48x48px]] | |||
| | | | ||
|- | |- | ||
|13 | | 13 | ||
|13/8 | | 13/8 | ||
|[[File:Heji42.svg|48x48px]][[File:HejiA.svg|48x48px]] | | [[File:Heji42.svg|48x48px]][[File:HejiA.svg|48x48px]] | ||
| [[File:Heji42.svg|48x48px]][[File:HejiA.svg|48x48px]] | |||
| | | | ||
|- | |- | ||
|17 | |17 | ||
|17/16 | |17/16 | ||
|[[File:Heji44.svg|48x48px]][[File:Heji12.svg|48x48px]][[File:HejiD.svg|48x48px]] | | [[File:Heji44.svg|48x48px]][[File:Heji25.svg|48x48px]][[File:HejiC.svg|48x48px]] | ||
| | | [[File:Heji44.svg|48x48px]][[File:Heji12.svg|48x48px]][[File:HejiD.svg|48x48px]] | ||
| Definition of the accidental is revised from 256/255 to 2187/2176<br>in the 2020 version by Plainsound Music Edition | |||
|- | |- | ||
|19 | | 19 | ||
|19/16 | | 19/16 | ||
|[[File:Heji47.svg|48x48px]][[File:Heji11.svg|48x48px]][[File:HejiE.svg|48x48px]] | | [[File:Heji47.svg|48x48px]][[File:Heji11.svg|48x48px]][[File:HejiE.svg|48x48px]] | ||
| [[File:Heji47.svg|48x48px]][[File:Heji11.svg|48x48px]][[File:HejiE.svg|48x48px]] | |||
| | | | ||
|- | |- | ||
|23 | | 23 | ||
|23/16 | | 23/16 | ||
|[[File:Heji49.svg|48x48px]][[File:Heji25.svg|48x48px]][[File:HejiF.svg|48x48px]] | | [[File:Heji49.svg|48x48px]][[File:Heji25.svg|48x48px]][[File:HejiF.svg|48x48px]] | ||
| [[File:Heji49.svg|48x48px]][[File:Heji25.svg|48x48px]][[File:HejiF.svg|48x48px]] | |||
| | | | ||
|- | |- | ||
|29 | | 29 | ||
|29/16 | | 29/16 | ||
|[[File:Heji51.svg|48x48px]][[File:Heji12.svg|48x48px]][[File:HejiB.svg|48x48px]] | | | ||
| | | [[File:Heji51.svg|48x48px]][[File:Heji12.svg|48x48px]][[File:HejiB.svg|48x48px]] | ||
| Definition of the accidental is revised from 145/144 to 261/256<br>in the 2020 version by Plainsound Music Edition | |||
|- | |- | ||
|31 | | 31 | ||
|31/16 | | 31/16 | ||
|[[File:Heji52.svg|48x48px]][[File:HejiC.svg|48x48px]] | | [[File:Heji52.svg|48x48px]][[File:HejiC.svg|48x48px]] | ||
| | | | ||
| Definition of the accidental is revised from 1024/1023 to 32/31<br>in the 2020 version by Plainsound Music Edition | |||
|} | |} | ||
== External links == | == External links == | ||
* [http://tonalsoft.com/enc/h/hewm.aspx HEWM Notation (Helmholtz-Ellis-Wolf-Monzo)] – Tonalsoft enyclopedia of microtonal music theory | * [http://tonalsoft.com/enc/h/hewm.aspx HEWM Notation (Helmholtz-Ellis-Wolf-Monzo)] – Tonalsoft enyclopedia of microtonal music theory | ||
* [http://www.plainsound.org/pdfs/ji_notation.pdf | * [https://marsbat.space/pdfs/HEJI2legend+series.pdf The Helmholtz-Ellis JI Pitch Notation (HEJI)] by Marc Sabat and Thomas Nicholson from Plainsound Music Edition – 2020 version with revised symbols for primes up to 47 entirely based on alterations of Pythagorean notes | ||
* [http://www.plainsound.org/pdfs/ji_notation.pdf Extended Helmholtz-Ellis JI Pitch Notation] by Marc Sabat and Wolfgang von Schweinitz from Plainsound Music Edition – deprecated<ref>See [https://marsbat.space/#writing Marc Sabat : Music & Writings]. </ref> 2004 version | |||
* [https://www.plainsound.org/HEJI/ Plainsound Harmonic Space Calculator] | * [https://www.plainsound.org/HEJI/ Plainsound Harmonic Space Calculator] | ||
<references/> | |||
== See also == | == See also == | ||