User:Eufalesio/Ultimate: Difference between revisions
Reference to the rest of 12edo detemp sequences |
Total unification |
||
| (9 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
is | is a special denominatinon I give to [[septischismic]] (also [[User:Eufalesio/Important Tables#Temperament properties of Ultimate edos (I care about)|here (data dump)]]). The real name is ''septischismic, 12e Ultimate'', ; but we will simply call it '''Ultimate''' here. | ||
Special thanks for [[Kite Giedraitis]] for feedback and edits, for [[Godtone]] (osmium) for teaching me [[S-expression|S-expressions]], and for [[Flora Canou]] for helping me document and put the temperaments up to standards. | Special thanks for [[Kite Giedraitis]] for feedback and edits, for [[Godtone]] (osmium) for teaching me [[S-expression|S-expressions]], and for [[Flora Canou]] for helping me document and put the temperaments up to standards. | ||
== Quick definition == | == Quick definition == | ||
Ultimate can be easily defined in the 13-limit as nullifying the [[2080/2079|sinaisma]], [[minisma]], and [[eufalesma]]. This indirectly means that the [[Symbiotic comma|salozo | Ultimate can be easily defined in the 13-limit as nullifying the [[2080/2079|sinaisma]], [[minisma]], and [[eufalesma]]. This indirectly means that the [[Symbiotic comma|salozo]], [[Wilschisma|sathoyo]], [[Olympia|salururu]], [[Garischisma|sasaru]], [[Argyria|lolotrizo]] commas, among an infinitude more, are all nullified too. In the 19-limit, it also tempers out the [[1225/1224|subizoyoma]] and [[1216/1215|sanoguma]]. | ||
Ultimate has the following notable equations: | Ultimate has the following notable equations: | ||
| Line 19: | Line 19: | ||
et cetera... Ultimate is much, much better only in the [[2.3.5.7.11.13.19 subgroup|yathalazana]], but it still manages to make a decent, albeit complex mapping. | et cetera... Ultimate is much, much better only in the [[2.3.5.7.11.13.19 subgroup|yathalazana]], but it still manages to make a decent, albeit complex mapping. | ||
The [[pergen]] is (P8, P5, ^1), where ^1 is the "minicomma" ( | The [[pergen]] is (P8, P5, ^1), where ^1 is the "minicomma" (hereafter noted as MC); a ~4{{C}} 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 – ^^⇊⇊M2 – ^m3 | P1 – ^'''↓'''M3 – P5 – '''↓'''m7 – M2 – ⇈4 – v⇈m6 – ^'''↓'''M7 – ^^⇊⇊M2 / 4^m2* – ^m3 | ||
Using pomas (pythagorean commas, [↑/'''↓''']) improves [[User:Eufalesio/Ultimate#Nomenclature and notation|the notation]] for reasons that will be exposed later. | Using pomas (pythagorean commas, [↑/'''↓''']) improves [[User:Eufalesio/Ultimate#Nomenclature and notation|the notation]] for reasons that will be exposed later. | ||
<nowiki>*</nowiki>See [[#17/16 conundrum]]. | |||
Some temperament properties of Ultimate and its subsets are exposed [[User:Eufalesio/Important Tables#Temperament properties of Ultimate edos (I care about)|here]]. | Some temperament properties of Ultimate and its subsets are exposed [[User:Eufalesio/Important Tables#Temperament properties of Ultimate edos (I care about)|here]]. | ||
| Line 141: | Line 143: | ||
The chain of fifths is a very important framework historically. It's been in Western music THE way to think about everything all the way from plainchant to Renaissance meantone temperaments to the modern day – where the 12-pitch-class circle of fifths is taught; 12edo remains a massively over-represented tuning. It has a bit of a bad reputation in the xen circles, but the more I researched, the more I realized it is a '''paragon''', and that its position nowadays is very much well earned. | The chain of fifths is a very important framework historically. It's been in Western music THE way to think about everything all the way from plainchant to Renaissance meantone temperaments to the modern day – where the 12-pitch-class circle of fifths is taught; 12edo remains a massively over-represented tuning. It has a bit of a bad reputation in the xen circles, but the more I researched, the more I realized it is a '''paragon''', and that its position nowadays is very much well earned. | ||
My main aim is to expand tonality with JI, and there is no better way to do so than to also extend the fundamental tuning framework to its logical conclusion. Among all paths I've considered [[User:Eufalesio/12edo detemperament sequences|(here)]], this, is what I consider to be the best. Behold, ''the'' '' | My main aim is to expand tonality with JI, and there is no better way to do so than to also extend the fundamental tuning framework to its logical conclusion. Among all paths I've considered [[User:Eufalesio/12edo detemperament sequences|(here)]], this, is what I consider to be the best for me. Behold, ''the'' ''12e'' ''detemperament'' ''sequence''. | ||
* '''12edo''' introduces the [[compton]] framework, which closes the chain of fifths with 12 flat, but proportionally very good fifths. Compton ''sensu stricto'' uses an independent generator to each all the different primes, and is generally a very good temperament. However, if the fifths are tuned sharper to become closer to just, the chain goes on for longer... | * '''12edo''' introduces the [[compton]] framework, which closes the chain of fifths with 12 flat, but proportionally very good fifths. Compton ''sensu stricto'' uses an independent generator to each all the different primes, and is generally a very good temperament. However, if the fifths are tuned sharper to become closer to just, the chain goes on for longer... | ||
| Line 151: | Line 153: | ||
* '''Ultimate''' is not just an extension of the concept, but what I believe to be the '''end''' of that extension. Ultimate adds an independent "minicomma" generator to reach p5 and p13, which acts as 385/384, ~352/351, ~5120/5103, layoma, ... etc, being around 4.4c. It doesn't begin to be fully useful up until 217edo, but 270edo and 311edo are arguably the best tunings. | * '''Ultimate''' is not just an extension of the concept, but what I believe to be the '''end''' of that extension. Ultimate adds an independent "minicomma" generator to reach p5 and p13, which acts as 385/384, ~352/351, ~5120/5103, layoma, ... etc, being around 4.4c. It doesn't begin to be fully useful up until 217edo, but 270edo and 311edo are arguably the best tunings. | ||
* 217edo is | * 217edo is good, but not the best, which would make it a waste of time if it weren't a multiple of 31edo. [[176edo]] also supports it earlier at full structure, but it blows as an equal tuning because the MC is too wide. | ||
'''The key reasons''' | '''The key reasons''' for which to settle with Ultimate and its temperaments: | ||
* 270edo and 311edo are inside the supported equal tunings. | * 270edo and 311edo are inside the supported equal tunings, two widely known incredibly good edos. | ||
* | * It is a temperament of [[olympic]], an extremely good 13-limit temperament. | ||
* | * It provides one of the easiest, if not the easiest way to achieve near-perfect JI with a '''whole''' 5-limit basis. That is to say, no prime is split in equal parts. Primes beyond 5 are reached with a linear combination of 2, 3, 5. | ||
* It has the chain of fifths as a primordial spine, with minimal alterations of the third generator to reach the rest of primes. | |||
* It is extremely easy to notate. | |||
Beyond that, I see no reason to use edos. The sequence still continues beyond Ultimate, which I dub the [[User:Eufalesio/Ultimate#Beyond Ultimate - the ULTRAOLYMPIC sequence|ULTRAOLYMPIC sequence]]. | Beyond that, I see no reason to use edos. The sequence still continues beyond Ultimate, which I dub the [[User:Eufalesio/Ultimate#Beyond Ultimate - the ULTRAOLYMPIC sequence|ULTRAOLYMPIC sequence]]. | ||
| Line 206: | Line 210: | ||
The most error you'll get with this system resides in the chain of fifths (~+0.25c), having all other primes accurate to hundreds of a cent. This is in a sense is reminiscent of [[septimal meantone]], which can tune p5 and p7 near-pure by adding error to the fifth chain. | The most error you'll get with this system resides in the chain of fifths (~+0.25c), having all other primes accurate to hundreds of a cent. This is in a sense is reminiscent of [[septimal meantone]], which can tune p5 and p7 near-pure by adding error to the fifth chain. | ||
== The special place of 41edo, 94edo and 270edo == | == The special place of 41edo, 53edo, 94edo and 270edo == | ||
41edo is the coarsest cassandra edo, with a high ratio of accuracy to simplicity, and being the first ever edo to be distinctly consistent in the 9-odd-limit, making the most out of the next convergent chain of fifths. 94edo is arguably the best cassandra edo, making the most out of the chain of fifths; while more complex it can be extended to the 23-odd-limit; which could be useful to some. Not me. | 41edo is the coarsest cassandra edo, with a high ratio of accuracy to simplicity, and being the first ever edo to be distinctly consistent in the 9-odd-limit, making the most out of the next convergent chain of fifths, and supplying | ||
53edo is the second coarsest, being better at some things 41edo is worse, and viceversa. It notably is extremely good in the yatha, with a fairly decent yazatha. It is also one of the best schismic temperaments, with nothing better than it except for 118edo and 171edo. Anything that doesn't use too many 11's and doesn't make much emphasis on 7's, can easily be done with 53edo. | |||
94edo is arguably the best cassandra edo, making the most out of the chain of fifths; while more complex it can be extended to the 23-odd-limit; which could be useful to some. Not me. When the whole 13-limit or 19-limit is desired, better to use 94edo to have everything decently well tuned. | |||
270edo is well known for its unbeatable 13-limit, for which, arguably, no other edo finer or coarser comes even close to its ratio of accuracy to "simplicity". It also technically has some useful interpretations for up to the [[53-limit]] which could be even more useful than that of 311edo, as seen by people like [[Godtone]]. | 270edo is well known for its unbeatable 13-limit, for which, arguably, no other edo finer or coarser comes even close to its ratio of accuracy to "simplicity". It also technically has some useful interpretations for up to the [[53-limit]] which could be even more useful than that of 311edo, as seen by people like [[Godtone]]. | ||
41edo is particularly interesting because joining it with 270edo results in [[newt]], an extremely accurate rank 2 microtemperament of Ultimate that is practically indistinguishable from it. Instead of halving the poma, it halves the fifth, finding the MC "generator" at -41 generators, which firmly places this as a 41edo [[well temperament]]. | 41edo is particularly interesting because joining it with 270edo results in [[newt]], an extremely accurate rank 2 microtemperament of Ultimate that is practically indistinguishable from it. Instead of halving the poma, it halves the fifth, finding the MC "generator" at -41 generators, which firmly places this (including Ultimate) as a 41edo [[well temperament]]. | ||
–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– | –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– | ||
| Line 218: | Line 226: | ||
It's possible to use gariwizmic wholesale, though it only slightly improves 270edo in precision, Newt is a much better choice for accuracy's sake, though 94edo does ''not'' support it. Gariwizmic provides good structure, not necessarily the best tuning. | It's possible to use gariwizmic wholesale, though it only slightly improves 270edo in precision, Newt is a much better choice for accuracy's sake, though 94edo does ''not'' support it. Gariwizmic provides good structure, not necessarily the best tuning. | ||
== 17/16 conundrum == | |||
The yazalathana is trivial, easy, very well tuned and well behaved in Ultimate, cassandra, and 12edo. Filling the 17 gap is harder. | |||
Prime 17, while obvious in 12edo, is complex in cassandra and not nice in Ultimate. In Ultimate there are two valid extensions to reach 17/16, of which "septinoellismic" - so called because it tempers out 1225/1224 - is deemed to be the one with lowest badness. Sure. That doesn't mean it's the best. It's not ideal because 17/16 detempers from a major second (^^⇊⇊M2), which means that it is very far away in a keyboard. | |||
The other one, called "septisperasmic" - so called because it tempers out 2500/2499 - does detemper from a minor second (4^m2), however, it requires minicommas and thus this cannot be used in cassandra as m2 is wayy too flat - though it can be used in 12edo. It is a more accurate and intuitive mapping with less distance, but it now requires the third generator to have a larger span. Not that septinoellismic didn't do that, but it was still a mapping that could be found within the 21-odd-limit (most span is 26/25 and 25/13, -/+3 minicommas). | |||
== Beyond Ultimate - the ULTRAOLYMPIC sequence == | == Beyond Ultimate - the ULTRAOLYMPIC sequence == | ||
There's a reason why I deem Ultimate ultimate. You're supposed to end there and go no further, because Ultimate is right at the limit of practicality. If you're stubborn enough to ignore my warnings and venture into the land of | There's a reason why I deem Ultimate ultimate. You're supposed to end there and go no further, because Ultimate is right at the limit of practicality. If you're stubborn enough to ignore my warnings and venture into the land of insanity... I still know how you can continue the into the ULTRAOLYMPIC sequence and add extra pairs of accidentals that are fully retrocompatible with Ultimate. | ||
=== Olympic - Metaolympic === | === Olympic - Metaolympic === | ||
[[Olympic|This]]. The best course of action for detempering Ultimate is to observe the | [[Olympic|This]]. The best course of action for detempering Ultimate is to observe the sasaruma, resulting in rank-4 olympic, which is just {S64, S65}. Notationwise, this results in spliting the saruyoma in halves with basically no meaningful notation changes until higher primes come into play or you modulate far enough along the chain of fifths. | ||
Unlike in JI, where the layoma is around half the sasaruma, here the layoma is ~1.6x LARGER, not smaller. A heavily inflated [[10241/10240|tina (~10241/10240)]] is one of these sasaruma halves; it and distinct layomas are required to reach primes 17 and 19. | |||
Olympic | {{Note|Olympic and beyond require detempering from septinoellismic - the least-badness mapping, for good or for worse.}} | ||
Everything else is the same: | Everything else is the same: | ||
| Line 236: | Line 253: | ||
It's something I don't think I'll ever see myself doing because this accuracy is enough to represent highly fine edos such as 494, 764, or 935edo, which is already too much for me. Extensions to the 19-limit are bad: the strong one keeps 1729/1728 and 1216/1215, [[Catalog of rank-4 temperaments#Metaolympic|'''Meta'''olympic]] works, and though it's a weak extension; it can still be written retrocompatibly. | It's something I don't think I'll ever see myself doing because this accuracy is enough to represent highly fine edos such as 494, 764, or 935edo, which is already too much for me. Extensions to the 19-limit are bad: the strong one keeps 1729/1728 and 1216/1215, [[Catalog of rank-4 temperaments#Metaolympic|'''Meta'''olympic]] works, and though it's a weak extension; it can still be written retrocompatibly. | ||
Here, 19/16 is †|\m3. 17/16 is 𐕣^|\'''⇊⇊'''M2. (|\ is a | Here, 19/16 is †|\m3. 17/16 is 𐕣^|\'''⇊⇊'''M2. (|\ is a layoma up, †/𐕣 is a heavily inflated tina) | ||
=== Insanismic - Insatinismic === | === Insanismic - Insatinismic === | ||
Olympic STILL not enough? Split your losses and use [[5767168/5767125| | Olympic STILL not enough? Split your losses and use [[5767168/5767125#Insanismic|Insanismic]]. Now you observe the olympia and get a schismina accidental. | ||
An olympia is 3 of these schisminas. | An olympia is 3 of these schisminas. Write this as dots above or below the accidentals but this is possibly getting a tad crowded. | ||
* ↑ is 64/63. | * ↑ is 64/63. | ||
| Line 250: | Line 267: | ||
Insanismic is at a level of precision comparable to 8539edo and much, MUCH finer. The people at sagittal.org had already declared its own version of this notation to be of "Insane" precision. Personally, ''insane'' is way too nice of a descriptor. This is is beyond your grasp of perfection, trust me. | Insanismic is at a level of precision comparable to 8539edo and much, MUCH finer. The people at sagittal.org had already declared its own version of this notation to be of "Insane" precision. Personally, ''insane'' is way too nice of a descriptor. This is is beyond your grasp of perfection, trust me. | ||
With an average tuning error of -0.000234c, let's be frank, this is JI. Approachable, thanks to it being the end of the ULTRAOLYMPIC sequence and thus retrocompatible; obsessive, but approachable nontheless. You are quite frankly, batshit insane if you require this precision, but I still give you the tools to express that insanity. | With an average tuning error of -0.000234c, let's be frank, this is JI. Approachable, thanks to it being the end of the ULTRAOLYMPIC sequence and thus retrocompatible; obsessive, but approachable nontheless. You are quite frankly, batshit insane if you require this precision, but I still give you the tools to express that insanity. It looks funny. | ||
Wouldn't I be also batshit insane by having researched it? No. | Wouldn't I be also batshit insane by having researched it? No. Knowing about it is important; how much '''JI'''uice I can squeeze out of 12edo... taking it to insanity? Well, '''here''' is the answer! | ||
–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– | –––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– | ||
| Line 260: | Line 277: | ||
Look how goddamn accurate this temp is! Look, I even made a technical temp data section! [expandable] Many thanks to Flora Canou for help with all the temp stuff... she's the real heroine here behind the numbers. | Look how goddamn accurate this temp is! Look, I even made a technical temp data section! [expandable] Many thanks to Flora Canou for help with all the temp stuff... she's the real heroine here behind the numbers. | ||
=== Insanismic AKA Batshit (temperament) === | === Insanismic AKA Batshit (the temperament) === | ||
I'm aware temps can't have NSFW names. "Insanismic" is the SFW, clean term. The one for the front page. The ''correct'' mask. | I'm aware temps can't have NSFW names. "Insanismic" is the SFW, clean term. The one for the front page. The ''correct'' mask. | ||
| Line 314: | Line 331: | ||
== Nomenclature and notation == | == Nomenclature and notation == | ||
This notation can be easily spoken as well as written, adapting Kite's color notation and ups and downs into a nice collage. At least, the part of Ultimate. For the things beyond Ultimate I <s>stole</s> borrowed some Sagittal nomenclature of the Magrathean symbol set that had the same comma functions. Behold! | This notation can be easily spoken as well as written, adapting Kite's color notation and ups and downs into a nice collage. At least, the part of Ultimate. For the things beyond Ultimate I <s>stole</s> borrowed some Sagittal nomenclature of the Magrathean symbol set that had the same comma functions. Behold! | ||
[[File:ULTRAOLYMPIANsymbolset.jpg|center|thumb|960x960px|The name of this notation is henceforth the ULTRAOLYMPIC notation, and the main 4 systems. Metaolympic would go in the middle of Ultimate and Batshit, with tinas but without mina accidentals. Not included since it ''kinda'' breaks the sequence.]] | [[File:ULTRAOLYMPIANsymbolset.jpg|center|thumb|960x960px|The name of this notation is henceforth the ULTRAOLYMPIC notation, and the main 4 systems. ALL CAPS, and pronounced loudly. Metaolympic would go in the middle of Ultimate and Batshit, with tinas but without mina accidentals. Not included since it ''kinda'' breaks the sequence.]] | ||
=== Easy tables === | === Easy tables === | ||
These are all the accidentals you need to know to write in Ultimate, and even beyond it. For most cases, there is no need to go beyond two of anything, in the case of pomas however, you can end up using three or | These are all the accidentals you need to know to write in Ultimate, and even beyond it. For most cases, there is no need to go beyond two of anything, in the case of pomas however, you can end up using three or more if you don't respell enharmonically with saquarumas, or go too far down the chain of fifths, which can lead to things being technically correct but pragmatically confusing. | ||
One instance is | One instance is the famous 14/11 - often deemed a major third. It isn't here. From C, it is '''↓'''⇊F. This is because 7/4 is a kind of minor seventh, 11/8 is a fourth. Minor seventh-fourth = fourth. Subtract the commas independently: '''↓ - (⇈) = ↓'''⇊. Similar thing occurs with 11/10, which is a v↑'''⇈'''m2, 14/13 which is a ^'''↓'''⇊M2. It all makes complete and logical sense from the perspective of the temperament, | ||
But it feels wrong. That's why we have saquarumas. 14/13 sounds minor-second-y. 14/11 sounds major-third-y. With saquarumas you can spell 11/10 as a major second ('''↓'''ΓM2), 14/11 as a major third (↑LM3). | |||
A phonetic coding proposal and the alterations for written text are: | A phonetic coding proposal and the alterations for written text are: | ||
| Line 325: | Line 344: | ||
|+ | |+ | ||
! rowspan="2" |Main accidentals | ! rowspan="2" |Main accidentals | ||
! colspan=" | ! colspan="12" |Ultimate | ||
! colspan=" | ! colspan="4" |ULTRAOLYMPIC | ||
|- | |- | ||
!Natural | !Natural | ||
! colspan="2" |Apotome | ! colspan="2" |Apotome | ||
! colspan="2" | | ! colspan="2" |Ruma | ||
! | ![[Buzzardsma|Saquaruma*]] | ||
! colspan=" | ! colspan="6" |<small>Saruyoma - Poma - Layoma</small> | ||
! colspan="2" |Mina | ! colspan="2" |Mina | ||
! colspan="2" |Tina | ! colspan="2" |Tina | ||
| Line 342: | Line 361: | ||
|S | |S | ||
|s | |s | ||
| rowspan=" | | rowspan="6" |See here* | ||
| rowspan="4" |^ | | rowspan="4" |^ | ||
| rowspan="4" |v | | rowspan="4" |v | ||
| rowspan=" | |p | ||
| rowspan=" | |q | ||
| rowspan="3" |/ | |||
| rowspan="3" |\ | |||
| rowspan="2" |' " "' | | rowspan="2" |' " "' | ||
| rowspan="2" |. .. … | | rowspan="2" |. .. … | ||
| rowspan=" | | rowspan="2" | i | ||
| rowspan="2" | | | rowspan="2" | o | ||
|- | |- | ||
|## | |## | ||
| Line 357: | Line 377: | ||
|H | |H | ||
|h | |h | ||
|P | |||
|Q | |||
|- | |- | ||
| rowspan="2" |Unicode symbols | | rowspan="2" |Unicode symbols | ||
| Line 363: | Line 385: | ||
|♭ | |♭ | ||
|↑ | |↑ | ||
| | |'''↓''' | ||
| | |⤉ | ||
| | |'''⤈''' | ||
| rowspan="2" | | | rowspan="2" |̇ ̈ ̄ | ||
| rowspan="2" | | | rowspan="2" |̣ ̤ ̱ | ||
| rowspan="2" | | | rowspan="2" |† | ||
| rowspan="2" |𐕣 | | rowspan="2" |𐕣 | ||
|- | |- | ||
|𝄪 | |𝄪 | ||
|𝄫 | |𝄫 | ||
|''' | |'''⇈''' | ||
|⇊ | |'''⇊''' | ||
|'''⇈̵''' | |||
|'''⇊̵''' | |||
|// | |||
|\\ | |||
|- | |- | ||
| rowspan="2" |Spoken | | rowspan="2" |Spoken | ||
| Line 383: | Line 408: | ||
|(su)per | |(su)per | ||
|sub | |sub | ||
|up | |up | ||
|down | |down | ||
| rowspan="2" | | | rowspan="2" |po | ||
| rowspan="2" | | rowspan="2" |qu | ||
| rowspan="2" |bi | |||
| rowspan="2" |bo | |||
| rowspan="2" |mi | | rowspan="2" |mi | ||
| rowspan="2" |mo | | rowspan="2" |mo | ||
| Line 421: | Line 446: | ||
|semiper | |semiper | ||
|semisub | |semisub | ||
|semiaug | |semiaug** | ||
|semidim | semisharp | ||
|semidim** | |||
semiflat | |||
|- | |- | ||
|sesquiper | |sesquiper | ||
|sesquisub | |sesquisub | ||
|sesquiaug | |sesquiaug** | ||
|sesquidim | sesquisharp | ||
|sesquidim** | |||
sesquiflat | |||
|} | |} | ||
<nowiki>*</nowiki>Not strictly necessary, but it does simplify notation immensely. The saquaruma equals the mercator comma in Ultimate (also being tempered out in 53edo), but not beyond it. It is useful for ultra-long chains of fifths and notating p17, which requires at least four rumas. | <nowiki>*</nowiki>Not strictly necessary, but it does simplify notation immensely. The saquaruma equals the mercator comma in Ultimate (also being tempered out in 53edo), but not beyond it. It is useful for ultra-long chains of fifths and notating p17, which requires at least four rumas. [[User:Eufalesio/EPN#Septischismic|See here for how to use it]], as it follows the same logic as alter- and merc- in EPN; only that "alter/R" and "merc/J" are substituted by "trans/L" and "buzz/Γ". If you're working in Ultimate, use trans/L and merc/J, as ruma and poma are equal. | ||
It is also unnecessary in 12edo and 41edo, since it equals a flat and a poma up respectively in those systems, and it is a way to avoid the bad 19-limit mappings of 12eg and 41g of septinoellismic. | |||
<nowiki>**</nowiki>Not used for interval names except for perfect intervals, refer to [[User:Eufalesio/EPN|EPN]]. | |||
<big>Of course, you can use whatever phonetic coding you want, as long as it's not ''too bespoke''. IFYKYK.</big> | <big>Of course, you can use whatever phonetic coding you want, as long as it's not ''too bespoke''. IFYKYK.</big> | ||