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Created page with "This article features a notation system that is not meant to be taken too seriously, similar to Breeds' Dwarf system for MOS scales, as part of its design is obviously jocular in nature, but I think that's part of the charm. == Preamble == The '''Punctional Just System (PJS)''' is a logical system for ∞-limit just intonation, based on the Functional Just system. One of the differences with the Functional Just System is that its radius of tole..."
 
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=== MFJS ===
=== MFJS ===
In PFJS:
In MFJS:


# RoT = sqrt(531441/524288), so all the formal commas will change accordingly.
# RoT = sqrt(531441/524288), so all the formal commas will change accordingly.
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I think 89-limit is enough. I myself wouldn't care beyond the 31- or 29- limit, but that's besides the point.
I think 89-limit is enough. I myself wouldn't care beyond the 31- or 29- limit, but that's besides the point.


=== PJS ===
=== Punny names ===
PJS takes the base from MFJS, and puts in some spice to really drive her point home. By incorporating puns into the system, each interval becomes unique and recognizable, even if whimsically nonsensical. It even works in more languages! This is done by changing the first consonants of names, preserving rhymes but creating still recognizable interval and pitch names. It also subtly changes MFJS so that crown/cown/cup/crup and over/under are substituted with (case sensitive) L/z/p/s and h/k. These don't understand for anything; they aren't acronyms. Just consonants.
PJS takes the base from MFJS, and puts in some spice to really drive her point home. By incorporating puns into the system, each interval becomes unique and recognizable, even if whimsically nonsensical. These are '''''punny names'''''. It even works in more languages! This is done by changing the first consonants of names, preserving rhymes but creating still recognizable interval and pitch names. It also subtly changes MFJS so that crown/cown/cup/crup and over/under are substituted with (case sensitive) L/z/p/s and h/k. These don't understand for anything; they aren't acronyms. Just consonants.
{| class="wikitable"
{| class="wikitable"
|+PJS names in English
|+PJS names in English
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Feast your brains upon the marvel of PJS interval and pitch names.
Feast your brains upon the marvel of PJS interval and pitch names.
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+PJS intervals and pitches
|+Punny intervals and pitches
|Simplified name
|Simplified name
|Punny interval name
|Punny interval name
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== PJS in other languages ==
== PJS in other languages ==
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+PJS names in German
|+Punny PJS names in German
|
|
|'''L/R'''
|'''L/R'''
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|-
|-
|Sixth
|Sixth
| colspan="5" |Sixte
|Lixte
|Zixte
|Sixte
|Pfixte
|Schixte
|Bixte
|Bixte
|Nixte
|Nixte
|-
|-
|Seventh
|Seventh
| colspan="5" |Septime
|Leptime
|Zeptime
|Septime
|Pfeptime
|Scheptime
|Beptime
|Beptime
|Neptime
|Neptime
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|}
|}
{| class="wikitable mw-collapsible mw-collapsed"
{| class="wikitable mw-collapsible mw-collapsed"
|+PJS names in Spanish
|+Punny PJS names in Spanish
|
|
|'''L/R'''
|'''L/R'''
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|-
|-
|Second
|Second
| colspan="5" |segunda
|legunda
|degunda
|segunda
|pegunda
|jegunda
|megunda
|megunda
|ñegunda
|ñegunda
|-
|-
|Third
|Third
| colspan="5" |tercera
|lercera
|dercera
|tercera
|percera
|jercera
|mercera
|mercera
|ñercera
|ñercera
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|-
|-
|Sixth
|Sixth
| colspan="5" |sexta
|lexta
|dexta
|sexta
|pexta
|jexta
|mexta
|mexta
|ñexta
|ñexta
|-
|-
|Seventh
|Seventh
| colspan="5" |séptima
|léptima
|déptima
|séptima
|péptima
|jéptima
|méptima
|méptima
|ñéptima
|ñéptima
Line 1,007: Line 1,031:
Italian/French are basically the same as Spanish, only that they use Z for dièse/diesis (zièse/ziesis), and S, not j. (sage-heure/saggiore). The ñ- is also kept, but spelt gn- as their orthography commands. Apart from that, In French there are more homophones!
Italian/French are basically the same as Spanish, only that they use Z for dièse/diesis (zièse/ziesis), and S, not j. (sage-heure/saggiore). The ñ- is also kept, but spelt gn- as their orthography commands. Apart from that, In French there are more homophones!


== Examples ==
== Examples (Just) ==
{| class="wikitable"
{| class="wikitable"
|'''Examples'''
|'''Examples'''
|'''PJS'''
|'''PJS'''
|'''English'''
|'''Punny English'''
|'''German'''
|'''Punny German'''
|'''Spanish'''
|'''Punny Spanish'''
|'''French'''
|'''Punny French'''
|'''Italian'''
|'''Punny Italian'''
|-
|-
|'''5/4'''
|'''5/4'''
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|Künf Heizehn Wunarte
|Künf Heizehn Wunarte
|luñuarta finco brece  
|luñuarta finco brece  
|lugnarte fina braise  
|lugnarte finq braise  
|lugnuarta finco bredici  
|lugnuarta finco bredici  
|-
|-
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Be it said that the only languages I am truly fluent in are English and Spanish, knowing more or less some French. I'm open to suggestions so that the consonants chosen in this system don't produce ''that'' nonsensical of names.
Be it said that the only languages I am truly fluent in are English and Spanish, knowing more or less some French. I'm open to suggestions so that the consonants chosen in this system don't produce ''that'' nonsensical of names.


It may not be used for perfectly strict intervals, and instead be used to name edos that decently approximate chains of fifths notation well enough, using the main L/p/d/s names for 41L 12s, and "mercator" accidentals which could stand in simply for fractions of pyth comma or edosteps. That way, we can avoid talking about hives and heavens.  
Heavens, that's a quite system. I give it a 7/8.
 
== PUS ==
It may not be used strictly for just intervals, and instead be used to name edos that decently approximate chains of fifths notation well enough, using the main L/p/d/s names for 41L 12s, and "mercator" accidentals which could stand in simply for fractions of pyth comma or edosteps. That way, we can avoid talking about hives and heavens. Such a system is called the horribly abreviated '''Punctional Unjust System''' (PUS).


Heavens, that's a quite system. I give it a 7/8.
=== Examples ===
{| class="wikitable"
|+
!Edo classes
!Edo
!5/4
!7/4
!11/8
!13/8
!19/16
!29/16
|-
! rowspan="5" |Meantonoids
(L/d/p/s alters
by meantone
dieses)
!12
| rowspan="5" |major third
|minor seventh
|tritone
|minor sixth
| rowspan="4" |minor third
| rowspan="3" |minor seventh
|-
!19
| rowspan="4" |diner seventh
|drytone
|major sixth
|-
!31
|pourth
| rowspan="3" |dajor sixth
|-
!43
|sourth
| rowspan="2" |piner seventh
|-
!50
|pourth
|minor nerd
|-
! rowspan="6" |Superpythoids
(Alters by HUGE
pyth commas)
!22
| rowspan="3" |major nerd
| rowspan="4" |minor seventh
| rowspan="2" |morth
|minor mixth
|
|
|-
!27
|minor 2mixth
|
|
|-
!34
|pourth
|piner sixth
|
|
|-
!49
| rowspan="3" |major 2nerd
|mourth
|minor 2mixth
|
|
|-
!80
|minor neventh
|pourth
| rowspan="2" |piner sixth
|
|
|-
!87
|minor 2neventh
|pumorth
|
|
|-
! rowspan="8" |Schismoids
(L/d/p/s alters
by pythagorean
commas)
!41
| rowspan="5" |dajor third
| rowspan="3" |diner seventh
| rowspan="3" |sourth
| rowspan="3" |siner sixth
| rowspan="5" |minor third
|
|-
!53
|
|-
!94
|
|-
!130
| rowspan="2" |diner neventh
|stew mourth
|siner mixth
|
|-
!159
|smourth
|siner sixth
|
|-
!217
| rowspan="3" |dajor myrrh'd
| rowspan="3" |diner seventh
| rowspan="3" |sourth
| rowspan="3" |siner nixth
| rowspan="3" |minor myrrh'd
|minor meventh
|-
!270
| rowspan="2" |minor 2meventh
|-
!311
|}
<nowiki>*</nowiki>'''PUS''' '''works worse with fifths whose pyth comma is beyond 20-28c.''' Note that for meantone and other systems where the pythagorean comma is negative, for it to make sense, the L/p/d/s consonants refer to meantone dieses, and fractions of those dieses. For superpyth, since the comma maps to something ''huge,'' n/m fractions must also be used. No mavila, blackwood, whitewood, or any weird fifth tuning with this system.
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