User:Eufalesio/PLIN: Difference between revisions
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The notation, much like Sagittal, comes in precision packs, which are the 12-form PLIN, 53-form PLIN, 159-form PLIN, 665-PLIN and 7315-form PLIN. The reason why to have these numbers of intervals is that they are part of the sequence of 3-2 telic edos that have high limit consistencies, and the biggest they can be. Each finer PLIN adds one more class of independent prefixes, from the others, having one (nominals) with 12-PLIN, and up to 5 with 7315-PLIN, which for some intervals will become hard to distinguish. | The notation, much like Sagittal, comes in precision packs, which are the 12-form PLIN, 53-form PLIN, 159-form PLIN, 665-PLIN and 7315-form PLIN. The reason why to have these numbers of intervals is that they are part of the sequence of 3-2 telic edos that have high limit consistencies, and the biggest they can be. Each finer PLIN adds one more class of independent prefixes, from the others, having one (nominals) with 12-PLIN, and up to 5 with 7315-PLIN, which for some intervals will become hard to distinguish. | ||
If you say you need one beyond 7315, you are | If you say you need one beyond 7315, [[Sagittal notation#cite note-:0-4|you are beyond insane]]. The next edo on the 3-2 telic list is the gargantuan [[190537edo]]. If you're stubborn enough to do so, have fun using twelfths of a satanic comma! And you will need to stack that twelfth interval up to 140 times in either direction, because a 306-comma is 281/12 satanic commas. That sounds like hell, both figuratively and literally. | ||
'''You do NOT need it.''' At that point, just use FJS. | |||
{| class="wikitable" | {| class="wikitable" | ||
|+12-form PLIN (MOS 5L 7s 6|12-PLIN; MOS 5L 7s 6|5; tolerance = '''56.843c''' | |+12-form PLIN (MOS 5L 7s 6|12-PLIN; MOS 5L 7s 6|5; tolerance = '''56.843c''' | ||
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In PLIN, the following terms discouraged from use: | In PLIN, the following terms discouraged from use: | ||
* Perfect, augmented fourth/diminished fifth, chroma, semitone, neutral/mid, interordinals. Use aug/dim for enharmonic reespelling only in functional settings | * Perfect, augmented fourth/diminished fifth, chroma, semitone, neutral/mid, interordinals. Use aug/dim for enharmonic reespelling only in functional settings | ||
* Chroma is only a functional denomination, which may be in between | * Chroma is only a functional denomination, which may be in between hyperunisons and hyperminor seconds. | ||
{| class="wikitable" | {| class="wikitable" | ||
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| | | | ||
|} | |} | ||
From this table, super/sub alter by a pythagorean-comma-sized interval, and hyper/hypo by two times. This is a good point to stop at, as it balances versatility with accuracy. | From this table, super/sub alter by a pythagorean-comma-sized interval, and hyper/hypo by two times. This is a good point to stop at, as it balances versatility with accuracy. It's also the one I feel most naturally gravitating to. | ||
If having to choose between any of the intervals on which there are two options (where there are two regions that differ by a Mercator's comma), choose the one that is built with the least number of fifths, unless it is functionally useful to do so. | If having to choose between any of the intervals on which there are two options (where there are two regions that differ by a Mercator's comma), choose the one that is built with the least number of fifths, unless it is functionally useful to do so. | ||
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|56/55 | |56/55 | ||
|- | |- | ||
|artohyperunison | |artohyperunison / artohypominor second | ||
|aH1 | |aH1 | ||
|DaH | |DaH /Ebah | ||
|39.1000 | |39.1000 | ||
|45/44 | |45/44 | ||
| Line 652: | Line 654: | ||
|40/39 | |40/39 | ||
|- | |- | ||
|tendohypominor second | |tendohyperunison / tendohypominor second | ||
|th2 | |th2 | ||
|Ebth | |Ebth | ||
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| colspan="5" |et cetera... | | colspan="5" |et cetera... | ||
|} | |} | ||
If 53-PLIN is not enough for you, this will be surely be enough. If not... then prepare for what's to come. | |||
{| class="wikitable" | |||
|+7315-PLIN MOS 306L 359 332|332 | As you know, two is a pair, three is a crowd, and each new PLIN continues adding more classes to worry about. So far, it has been only 3 classes at most: tendo/arto, hypo/sub/fix/super/hyper, nominal. But, 665 has now qi/qu (small qian commas) and mi/mu (mercator commas), apart from the hypo/sub/fix/super/hyper, nominal. 7315-PLIN has all those, and five-fold plus/min(u)s. | ||
! | {| class="wikitable mw-collapsible mw-collapsed" | ||
|+ 7315-PLIN MOS 306L 359 332 |332 | |||
!Interval name | |||
|- | |- | ||
|spot unison | |spot unison | ||