User:Eufalesio/Ultimate: Difference between revisions
I hid a temp page in here lol, to justify the insanity and hyperultramega accuracy of this sequence |
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The [[pergen]] is (P8, P5, ^1), where ^1 is the "minicomma" (from this point forward refered to as "MC"); a 3~5c interval that represents 385/384, 352/351, 5120/5103, 513/512, the layoma, etc. 4:5:6:7:9:11:13:15:17:19 octave reduced is notated as: | The [[pergen]] is (P8, P5, ^1), where ^1 is the "minicomma" (from this point forward refered to as "MC"); a 3~5c interval that represents 385/384, 352/351, 5120/5103, 513/512, the layoma, etc. 4:5:6:7:9:11:13:15:17:19 octave reduced is notated as: | ||
P1 – ^'''↓'''M3 – P5 – '''↓'''m7 – M2 – ⇑4 – v⇑m6 – ^'''↓'''M7 – | P1 – ^'''↓'''M3 – P5 – '''↓'''m7 – M2 – ⇑4 – v⇑m6 – ^'''↓'''M7 – ^^'''⇓⇓'''M2 – ^m3 | ||
Using pomas (pythagorean commas, [↑/'''↓''']) improves this notation for reasons that will be exposed later. | Using pomas (pythagorean commas, [↑/'''↓''']) improves this notation for reasons that will be exposed later. | ||
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|↑ | |↑ | ||
|'''↓''' | |'''↓''' | ||
|^ | | rowspan="2" |^ | ||
|v | | rowspan="2" |v | ||
| rowspan="2" |<nowiki>◿ | ◺</nowiki> | | rowspan="2" |<nowiki>◿ | ◺</nowiki> | ||
| rowspan="2" |<nowiki>◹ | ◸</nowiki> | | rowspan="2" |<nowiki>◹ | ◸</nowiki> | ||
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|⇑ | |⇑ | ||
|'''⇓''' | |'''⇓''' | ||
|\ | |\ | ||
|- | |- | ||
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{| class="wikitable" | {| class="wikitable" | ||
!Extra accidentals | !Extra accidentals | ||
! colspan="2" |Mercator comma* | |||
! colspan="2" |Fwiwisma | ! colspan="2" |Fwiwisma | ||
! colspan="2" |Half-apotome | ! colspan="2" |Half-apotome | ||
|- | |- | ||
| rowspan="2" |Symbols | | rowspan="2" |Symbols | ||
| rowspan="2" |M | |||
| rowspan="2" |W | |||
| rowspan="2" |¡ | | rowspan="2" |¡ | ||
| rowspan="2" |! | | rowspan="2" |! | ||
|{{Sagittal|t}} | |{{Sagittal|t}} | ||
|{{Sagittal|d}} | |{{Sagittal|d}} | ||
|- | |- | ||
|{{Sagittal|t#}} | |{{Sagittal|t#}} | ||
|{{Sagittal|db}} | |{{Sagittal|db}} | ||
|- | |- | ||
| rowspan="2" |Spoken | | rowspan="2" |Spoken | ||
| rowspan="2" |mo | |||
| rowspan="2" |mu | |||
| rowspan="2" |halfpo | | rowspan="2" |halfpo | ||
| rowspan="2" |halfqu | | rowspan="2" |halfqu | ||
|halfsharp | |halfsharp | ||
|halfflat | |halfflat | ||
|- | |- | ||
|sesquisharp | |sesquisharp | ||
|sesquiflat | |sesquiflat | ||
|} | |} | ||
<nowiki>*</nowiki>Not necessary | <nowiki>*</nowiki>Not strictly necessary, but it does simplify notation immensely, specially for ultra-long chains of fifths and notating p17, which requires at least four pomas. A mercator comma follows the following equation: ⇑⇑P1 = Mm2, ⇑⇑m2 = W'''↓'''M2; 17/16 is then ^^W↑m2. | ||
=== Syntax === | === Syntax === | ||