Helmholtz–Ellis notation: Difference between revisions
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=== | === Odd harmonics === | ||
{| class="wikitable sortable center-all left-5" | {| class="wikitable sortable center-all left-5" | ||
! rowspan="2" | | ! rowspan="2" | Harmonic | ||
! rowspan="2" |Just Ratio | ! rowspan="2" | Just Ratio | ||
! colspan="2" |Notation (assuming 1/1 is C) | ! colspan="2" | Notation (assuming 1/1 is C) | ||
! rowspan="2" |Comments | ! rowspan="2" | Comments | ||
|- | |- | ||
! 2020 version | ! 2020 version | ||
| Line 65: | Line 65: | ||
| 1 | | 1 | ||
| 1/1 | | 1/1 | ||
| [[File:HejiC.svg|48x48px]] | | colspan="2" | [[File:HejiC.svg|48x48px]] | ||
| | | rowspan="2" | Default staff notation represents Pythagorean tuning | ||
| Default staff notation represents Pythagorean tuning | |||
|- | |- | ||
| 3 | | 3 | ||
| 3/2 | | 3/2 | ||
| | | colspan="2" | [[File:HejiG.svg|48x48px]] | ||
| [[File:HejiG.svg|48x48px]] | |||
|- | |- | ||
| 5 | | 5 | ||
| 5/4 | | 5/4 | ||
| | | colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiE.svg|48x48px]] | ||
| [[File:Heji17.svg| | | | ||
| | |||
|- | |- | ||
| 7 | | 7 | ||
| 7/4 | | 7/4 | ||
| [[File:Heji37.svg| | | colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiB.svg|48x48px]] | ||
| | | | ||
| | |- | ||
| 9 | |||
| 9/8 | |||
| colspan="2" | [[File:HejiD.svg|48x48px]] | |||
| Default staff notation represents Pythagorean tuning | |||
|- | |- | ||
| 11 | | 11 | ||
| 11/8 | | 11/8 | ||
| | | colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiF.svg|48x48px]] | ||
| [[File:Heji41.svg| | | | ||
| | |||
|- | |- | ||
| 13 | | 13 | ||
| 13/8 | | 13/8 | ||
| [[File:Heji42.svg| | | colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiA.svg|48x48px]] | ||
| [[File: | | | ||
| | |- | ||
| 15 | |||
| 15/8 | |||
| colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiB.svg|48x48px]] | |||
| | |||
|- | |- | ||
| 17 | | 17 | ||
| 17/16 | | 17/16 | ||
| [[File:Heji44.svg| | | [[File:Heji44.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiC.svg|48x48px]] | ||
| [[File:Heji44.svg| | | [[File:Heji44.svg|54x54px]][[File:Heji12.svg|54x54px]][[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 | | 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| | | colspan="2" | [[File:Heji47.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiE.svg|48x48px]] | ||
| | | | ||
| | |- | ||
| 21 | |||
| 21/16 | |||
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:HejiF.svg|48x48px]] | |||
| | |||
|- | |- | ||
| 23 | | 23 | ||
| 23/16 | | 23/16 | ||
| [[File:Heji49.svg| | | colspan="2" | [[File:Heji49.svg|54x54px]][[File:Heji25.svg|48x48px]][[File:HejiF.svg|48x48px]] | ||
| [[File: | | | ||
| | |- | ||
| 25 | |||
| 25/16 | |||
| colspan="2" | [[File:Heji23.svg|54x54px]][[File:HejiG.svg|48x48px]] | |||
| | |||
|- | |||
| 27 | |||
| 27/16 | |||
| colspan="2" | [[File:HejiA.svg|48x48px]] | |||
| Default staff notation represents Pythagorean tuning | |||
|- | |- | ||
| 29 | | 29 | ||
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| (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 | ||
|- | |||
| 33 | |||
| 33/32 | |||
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiC.svg|48x48px]] | |||
| | |||
|- | |||
| 35 | |||
| 35/32 | |||
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji17.svg|54x54px]][[File:HejiD.svg|48x48px]] | |||
|- | |- | ||
| 37 | | 37 | ||
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| (todo) | | (todo) | ||
| | | | ||
|- | |||
| 39 | |||
| 39/32 | |||
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiE.svg|48x48px]] | |||
| | |||
|- | |- | ||
| 41 | | 41 | ||
| Line 146: | Line 176: | ||
| (todo) | | (todo) | ||
| | | | ||
|- | |||
| 45 | |||
| 45/32 | |||
| colspan="2" | [[File:Heji24.svg|54x54px]][[File:HejiF.svg|48x48px]] | |||
| | |||
|- | |- | ||
| 47 | | 47 | ||