19edo: Difference between revisions
ArrowHead294 (talk | contribs) No edit summary |
Relegate the dodecatonic notation to the notation section, with the table collapsed by default. I've never seen anyone use it yet it's taking up the precious space of the interval table, which isn't right. |
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! Approximated [[Just intonation|JI]] Intervals* | ! Approximated [[Just intonation|JI]] Intervals* | ||
! [[Solfege]] | ! [[Solfege]] | ||
! colspan="2" | [[SKULO interval names|SKULO Interval]] | ! colspan="2" | [[SKULO interval names|SKULO Interval]] | ||
|- | |- | ||
| Line 59: | Line 58: | ||
| [[1/1]] | | [[1/1]] | ||
| Do | | Do | ||
| unison | | unison | ||
| P1 | | P1 | ||
| Line 68: | Line 66: | ||
| [[25/24]], [[28/27]], [[26/25]] | | [[25/24]], [[28/27]], [[26/25]] | ||
| Di/Ro | | Di/Ro | ||
| super unison, subminor second | | super unison, subminor second | ||
| S1, sm2 | | S1, sm2 | ||
| Line 77: | Line 74: | ||
| [[15/14]], [[16/15]], [[13/12]], [[14/13]] | | [[15/14]], [[16/15]], [[13/12]], [[14/13]] | ||
| Ra | | Ra | ||
| minor second | | minor second | ||
| m2 | | m2 | ||
| Line 86: | Line 82: | ||
| [[9/8]], [[10/9]] | | [[9/8]], [[10/9]] | ||
| Re | | Re | ||
| major second | | major second | ||
| M2 | | M2 | ||
| Line 95: | Line 90: | ||
| [[7/6]], [[8/7]], [[15/13]] | | [[7/6]], [[8/7]], [[15/13]] | ||
| Ri/Ma | | Ri/Ma | ||
| supermajor second, subminor third | | supermajor second, subminor third | ||
| SM2, sm3 | | SM2, sm3 | ||
| Line 104: | Line 98: | ||
| [[6/5]] | | [[6/5]] | ||
| Me | | Me | ||
| minor third | | minor third | ||
| m3 | | m3 | ||
| Line 113: | Line 106: | ||
| [[5/4]], [[16/13]], [[56/45]] | | [[5/4]], [[16/13]], [[56/45]] | ||
| Mi | | Mi | ||
| major third | | major third | ||
| M3 | | M3 | ||
| Line 122: | Line 114: | ||
| [[32/25]], [[9/7]], [[13/10]] | | [[32/25]], [[9/7]], [[13/10]] | ||
| Mo/Fe | | Mo/Fe | ||
| supermajor third, sub fourth | | supermajor third, sub fourth | ||
| SM3, s4 | | SM3, s4 | ||
| Line 131: | Line 122: | ||
| [[4/3]], [[75/56]] | | [[4/3]], [[75/56]] | ||
| Fa | | Fa | ||
| perfect fourth | | perfect fourth | ||
| P4 | | P4 | ||
| Line 140: | Line 130: | ||
| [[25/18]], [[7/5]], [[18/13]], [[11/8]] | | [[25/18]], [[7/5]], [[18/13]], [[11/8]] | ||
| Fi | | Fi | ||
| augmented fourth | | augmented fourth | ||
| A4 | | A4 | ||
| Line 149: | Line 138: | ||
| [[36/25]], [[10/7]], [[13/9]], [[16/11]] | | [[36/25]], [[10/7]], [[13/9]], [[16/11]] | ||
| Se | | Se | ||
| diminished fifth | | diminished fifth | ||
| d5 | | d5 | ||
| Line 158: | Line 146: | ||
| [[3/2]], [[112/75]] | | [[3/2]], [[112/75]] | ||
| So | | So | ||
| perfect fifth | | perfect fifth | ||
| P5 | | P5 | ||
| Line 167: | Line 154: | ||
| [[25/16]], [[14/9]], [[20/13]] | | [[25/16]], [[14/9]], [[20/13]] | ||
| Si/Lo | | Si/Lo | ||
| super fifth, subminor 6th | | super fifth, subminor 6th | ||
| S5, sm6 | | S5, sm6 | ||
| Line 176: | Line 162: | ||
| [[8/5]], [[13/8]], [[45/28]] | | [[8/5]], [[13/8]], [[45/28]] | ||
| Le | | Le | ||
| minor sixth | | minor sixth | ||
| m6 | | m6 | ||
| Line 185: | Line 170: | ||
| [[5/3]] | | [[5/3]] | ||
| La | | La | ||
| major sixth | | major sixth | ||
| M6 | | M6 | ||
| Line 194: | Line 178: | ||
| [[7/4]], [[12/7]], [[26/15]] | | [[7/4]], [[12/7]], [[26/15]] | ||
| Li/Ta | | Li/Ta | ||
| supermajor sixth, subminor seventh | | supermajor sixth, subminor seventh | ||
| SM6, sm7 | | SM6, sm7 | ||
| Line 203: | Line 186: | ||
| [[9/5]], [[16/9]] | | [[9/5]], [[16/9]] | ||
| Te | | Te | ||
| minor seventh | | minor seventh | ||
| m7 | | m7 | ||
| Line 212: | Line 194: | ||
| [[15/8]], [[13/7]], [[28/15]], [[24/13]] | | [[15/8]], [[13/7]], [[28/15]], [[24/13]] | ||
| Ti | | Ti | ||
| major seventh | | major seventh | ||
| M7 | | M7 | ||
| Line 221: | Line 202: | ||
| [[48/25]], [[27/14]], [[25/13]] | | [[48/25]], [[27/14]], [[25/13]] | ||
| To/Da | | To/Da | ||
| supermajor seventh, sub octave | | supermajor seventh, sub octave | ||
| SM7, s8 | | SM7, s8 | ||
| Line 230: | Line 210: | ||
| [[2/1]] | | [[2/1]] | ||
| Do | | Do | ||
| octave | | octave | ||
| P8 | | P8 | ||
| Line 334: | Line 313: | ||
== Notation == | == Notation == | ||
=== Standard notation === | |||
Standard 12edo notation can be used, whether it is staff notation (with five lines), letter [[chain-of-fifths notation]] (with standard accidentals), solfege, or sargam. Note that D# and Eb are two different notes. | Standard 12edo notation can be used, whether it is staff notation (with five lines), letter [[chain-of-fifths notation]] (with standard accidentals), solfege, or sargam. Note that D# and Eb are two different notes. | ||
| Line 449: | Line 429: | ||
* [[ups and downs notation]] is identical to standard notation; | * [[ups and downs notation]] is identical to standard notation; | ||
* mixed [[sagittal notation]] is identical to standard notation, but pure sagittal notation exchanges sharps (#) and flats (b) for sagittal sharp ([[File:Sagittal sharp.png]]) and sagittal flat ([[File:Sagittal flat.png]]) respectively. | * mixed [[sagittal notation]] is identical to standard notation, but pure sagittal notation exchanges sharps (#) and flats (b) for sagittal sharp ([[File:Sagittal sharp.png]]) and sagittal flat ([[File:Sagittal flat.png]]) respectively. | ||
=== Dodecatonic notation === | |||
{| class="wikitable right-1 right-2 mw-collapsible mw-collapsed" | |||
|+style="white-space:nowrap" | Dodecatonic Notation of 19edo | |||
! [[Degree]] | |||
! [[Cent]]s | |||
! Interval Names | |||
|- | |||
| 0 | |||
| 0.00 | |||
| P1 | |||
|- | |||
| 1 | |||
| 63.16 | |||
| A1, m2 | |||
|- | |||
| 2 | |||
| 126.32 | |||
| M2, m3 | |||
|- | |||
| 3 | |||
| 189.47 | |||
| M3 | |||
|- | |||
| 4 | |||
| 252.63 | |||
| m4, A3 | |||
|- | |||
| 5 | |||
| 315.79 | |||
| M4, m5 | |||
|- | |||
| 6 | |||
| 378.95 | |||
| M5 | |||
|- | |||
| 7 | |||
| 442.11 | |||
| A5, d6 | |||
|- | |||
| 8 | |||
| 505.26 | |||
| P6 | |||
|- | |||
| 9 | |||
| 568.42 | |||
| A6, m7 | |||
|- | |||
| 10 | |||
| 631.58 | |||
| M7, d8 | |||
|- | |||
| 11 | |||
| 694.74 | |||
| P8 | |||
|- | |||
| 12 | |||
| 757.89 | |||
| A8, m9 | |||
|- | |||
| 13 | |||
| 821.05 | |||
| M9, m10 | |||
|- | |||
| 14 | |||
| 884.21 | |||
| M10 | |||
|- | |||
| 15 | |||
| 947.37 | |||
| m11, A10 | |||
|- | |||
| 16 | |||
| 1010.53 | |||
| M11, m12 | |||
|- | |||
| 17 | |||
| 1073.68 | |||
| M12 | |||
|- | |||
| 18 | |||
| 1136.84 | |||
| A12, d13 | |||
|- | |||
| 19 | |||
| 1200.00 | |||
| P13 | |||
|} | |||
== Approximation to JI == | == Approximation to JI == | ||
[[File:19ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 19edo]] | [[File:19ed2.svg|250px|thumb|right|alt=alt : Your browser has no SVG support.|Selected 19-limit intervals approximated in 19edo]] | ||
=== Interval mappings === | === Interval mappings === | ||
{{Q-odd-limit intervals|19}} | {{Q-odd-limit intervals|19}} | ||