Helmholtz–Ellis notation: Difference between revisions
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Undo (what does this competing column add?) Tag: Undo |
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=== Odd harmonics === | === Odd harmonics === | ||
{| class="wikitable sortable center-all" | {| class="wikitable sortable center-all left-5" | ||
! rowspan="2" | Harmonic | ! rowspan="2" | Harmonic | ||
! rowspan="2" | Just Ratio | ! rowspan="2" | Just Ratio | ||
! colspan="2" | Notation | ! colspan="2" | Notation (assuming 1/1 is C) | ||
! rowspan="2" | Comments | ! rowspan="2" | Comments | ||
|- | |- | ||
! 2020 version | ! 2020 version | ||
! 2004 version | ! 2004 version | ||
| Line 69: | Line 66: | ||
| 1/1 | | 1/1 | ||
| colspan="2" | [[File:HejiC.svg|48x48px]] | | colspan="2" | [[File:HejiC.svg|48x48px]] | ||
| rowspan="2" | Default staff notation represents Pythagorean tuning | | rowspan="2" | Default staff notation represents Pythagorean tuning | ||
|- | |- | ||
| Line 75: | Line 71: | ||
| 3/2 | | 3/2 | ||
| colspan="2" | [[File:HejiG.svg|48x48px]] | | colspan="2" | [[File:HejiG.svg|48x48px]] | ||
|- | |- | ||
| 5 | | 5 | ||
| 5/4 | | 5/4 | ||
| colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiE.svg|48x48px]] | | colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiE.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| Line 86: | Line 80: | ||
| 7/4 | | 7/4 | ||
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiB.svg|48x48px]] | | colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiB.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| Line 92: | Line 85: | ||
| 9/8 | | 9/8 | ||
| colspan="2" | [[File:HejiD.svg|48x48px]] | | colspan="2" | [[File:HejiD.svg|48x48px]] | ||
| Default staff notation represents Pythagorean tuning | | Default staff notation represents Pythagorean tuning | ||
|- | |- | ||
| Line 98: | Line 90: | ||
| 11/8 | | 11/8 | ||
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiF.svg|48x48px]] | | colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiF.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| Line 104: | Line 95: | ||
| 13/8 | | 13/8 | ||
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiA.svg|48x48px]] | | colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiA.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| Line 110: | Line 100: | ||
| 15/8 | | 15/8 | ||
| colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiB.svg|48x48px]] | | colspan="2" | [[File:Heji17.svg|54x54px]][[File:HejiB.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| Line 117: | Line 106: | ||
| [[File:Heji44.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiC.svg|48x48px]] | | [[File:Heji44.svg|54x54px]][[File:Heji25.svg|54x54px]][[File:HejiC.svg|48x48px]] | ||
| [[File:Heji44.svg|54x54px]][[File:Heji12.svg|54x54px]][[File:HejiD.svg|48x48px]] | | [[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 | ||
|- | |- | ||
| Line 124: | Line 111: | ||
| 19/16 | | 19/16 | ||
| colspan="2" | [[File:Heji47.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiE.svg|48x48px]] | | colspan="2" | [[File:Heji47.svg|54x54px]][[File:Heji11.svg|54x54px]][[File:HejiE.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| Line 130: | Line 116: | ||
| 21/16 | | 21/16 | ||
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:HejiF.svg|48x48px]] | | colspan="2" | [[File:Heji37.svg|54x54px]][[File:HejiF.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| 23 | | 23 | ||
| 23/16 | | 23/16 | ||
| colspan="2" | [[File:Heji49.svg|54x54px]][[File:Heji25.svg| | | colspan="2" | [[File:Heji49.svg|54x54px]][[File:Heji25.svg|48x48px]][[File:HejiF.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| Line 142: | Line 126: | ||
| 25/16 | | 25/16 | ||
| colspan="2" | [[File:Heji23.svg|54x54px]][[File:HejiG.svg|48x48px]] | | colspan="2" | [[File:Heji23.svg|54x54px]][[File:HejiG.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| Line 148: | Line 131: | ||
| 27/16 | | 27/16 | ||
| colspan="2" | [[File:HejiA.svg|48x48px]] | | colspan="2" | [[File:HejiA.svg|48x48px]] | ||
| Default staff notation represents Pythagorean tuning | | Default staff notation represents Pythagorean tuning | ||
|- | |- | ||
| Line 154: | Line 136: | ||
| 29/16 | | 29/16 | ||
| (todo) | | (todo) | ||
| [[File:Heji51.svg| | | [[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 | | 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| | | [[File:Heji52.svg|48x48px]][[File:HejiC.svg|48x48px]] | ||
| (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 | ||
| Line 170: | Line 148: | ||
| 33/32 | | 33/32 | ||
| colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiC.svg|48x48px]] | | colspan="2" | [[File:Heji41.svg|54x54px]][[File:HejiC.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| Line 176: | Line 153: | ||
| 35/32 | | 35/32 | ||
| colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji17.svg|54x54px]][[File:HejiD.svg|48x48px]] | | colspan="2" | [[File:Heji37.svg|54x54px]][[File:Heji17.svg|54x54px]][[File:HejiD.svg|48x48px]] | ||
|- | |- | ||
| 37 | | 37 | ||
| 37/32 | | 37/32 | ||
| (todo) | | (todo) | ||
| (todo) | | (todo) | ||
| Line 189: | Line 163: | ||
| 39/32 | | 39/32 | ||
| colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiE.svg|48x48px]] | | colspan="2" | [[File:Heji42.svg|54x54px]][[File:HejiE.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| 41 | | 41 | ||
| 41/32 | | 41/32 | ||
| (todo) | | (todo) | ||
| (todo) | | (todo) | ||
| Line 202: | Line 173: | ||
| 43 | | 43 | ||
| 43/32 | | 43/32 | ||
| (todo) | | (todo) | ||
| (todo) | | (todo) | ||
| Line 211: | Line 180: | ||
| 45/32 | | 45/32 | ||
| colspan="2" | [[File:Heji24.svg|54x54px]][[File:HejiF.svg|48x48px]] | | colspan="2" | [[File:Heji24.svg|54x54px]][[File:HejiF.svg|48x48px]] | ||
| | | | ||
|- | |- | ||
| 47 | | 47 | ||
| 47/32 | | 47/32 | ||
| (todo) | | (todo) | ||
| (todo) | | (todo) | ||