User:Eufalesio/Ultimate: Difference between revisions

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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:

P1 – ^'''↓'''M3 – P5 – '''↓'''m7 – M2 – ⇈4 – v⇈m6 – ^'''↓'''M7 – ^^~~'''⇊⇊'''M2~~ – ^m3

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 [[User:Eufalesio/Ultimate#Nomenclature and notation|the notation]] for reasons that will be exposed later.

Some temperament properties of Ultimate and its subsets are exposed [[User:Eufalesio/Important Tables#Temperament properties of Ultimate edos (I care about)|here]].

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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 schisma up, † is a heavily inflated tina)

Here, 19/16 is †|\m3. 17/16 is 𐕣^|\'''⇊⇊'''M2. (|\ is a schisma up, †/𐕣 is a heavily inflated tina)

=== Insanismic - Insatinismic ===

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––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––

Unlike Olympic, this one is undeniably '''WAY''' more accurate, at least 100 times more accurate. It can be weakly extended to the whole 19-limit by adding S76/S77 and S2431 (or the [[devicisma]]) to the comma list, however, a tina is required to reach prime 17 and 19, which is close, but not equal to a third of a schismina. 19/16 is †|̈\m3. 17/16 is 𐕣^^~~'''⇊⇊̱'''M2~~.

Unlike Olympic, this one is undeniably '''WAY''' more accurate, at least 100 times more accurate. It can be weakly extended to the whole 19-limit by adding S76/S77 and S2431 (or the [[devicisma]]) to the comma list, however, a tina is required to reach prime 17 and 19, which is close, but not equal to a third of a schismina. 19/16 is †|̈\m3. 17/16 is 𐕣^^⇊⇊̱M2.

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.

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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 even more if you don't respell enharmonically with saquarumas, or go too far down the chain of fifths.

One instance is writing 5/4 above a 16/11, which is 20/11. Above a C, this is '''⇊'''G - ^'''↓⇊'''B.

One instance is writing 5/4 above a 16/11, which is 20/11. Above a C, this is '''⇊'''G - ^'''↓'''⇊B.

A phonetic coding proposal and the alterations for written text are:

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|+

! rowspan="2" |Main accidentals

~~(ASCII)~~

! colspan="9" |Ultimate

! colspan="6" |ULTRAOLYMPIC

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! colspan="2" |Tina

|-

| rowspan="2" |~~Symbols~~

| rowspan="2" |ASCII-ish symbols

| rowspan="2" |h

|#

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| rowspan="2" |M

| rowspan="2" |m

| rowspan="2" |^

| rowspan="4" |^

| rowspan="2" |v

| rowspan="4" |v

| rowspan="2" |<nowiki>Y | X</nowiki>

| rowspan="2" |<nowiki>y | x</nowiki>

| rowspan="2" |' " "'

| rowspan="2" |. .. …

| rowspan="2" | †

| rowspan="4" | †

| rowspan="2" | ‡

| rowspan="2" | ‡ / t

|-

|##

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|H

|h

|-

| rowspan="2" |Unicode symbols

| rowspan="2" |♮

|♯

|♭

|↑

|⇈

| rowspan="2" |Γ

| rowspan="2" |L

| rowspan="2" |̇ ̈ ̄

| rowspan="2" |̣ ̤ ̱

| rowspan="2" |𐕣

|-

|𝄪

|𝄫

|'''↓'''

|⇊

|-

| rowspan="2" |Spoken

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|sharp

|flat

|~~super~~

|(su)per

|sub

| rowspan="2" |me

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|sesquidim

|}

<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. It follows the following equation: ⇈⇈P1 = ~~mm2~~, ⇈⇈m2 = m'''↓'''M2; 17/16 is then |\^~~μ↑m2~~.

<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. It follows the following equation: ⇈⇈P1 = Lm2, ⇈⇈m2 = L'''↓'''M2; 17/16 is then ^^L↑m2 in Ultimate; or 𐕣|\^L↑̱m2 in Batshittin.

<big>Of course, you can use whatever phonetic coding you want, as long as it's not ''too bespoke''. IFYKYK.</big>

=== Syntax ===

For an accidental: (tina) + (~~schismina~~) + (sasaruma/layoma) + [~~saruyoma~~] + [~~poma~~] + [apotome]

For an accidental: (tina) + (minas) + (sasaruma/layoma) + [saruyomas] + (saquaruma) + [pomas] + [apotome]

* v# = downsharp

* ^^~~'''⇊'''~~ = duphypo

* ^^h = duphypo

For intervals: [accidental] + [5L 7s 6|5 nominal]

* ~~'''↓'''M2~~ = submajor second

* sM2 = submajor second

* ^~~'''↓'''M3~~ = upsubmajor third

* ^sM3 = upsubmajor third

* ~~v⇈m6~~ = downhyperminor sixth

* vHm6 = downhyperminor sixth

For pitches: [5L 7s 6|5 nominal] + [accidental] + [octave number] <small>(scientific please, A4=440Hz)</small>

* D4 = dee four

* ~~E⇈b4~~ = e hyperflat four

* EHb4 = e hyperflat four

* F^~~'''↓'''~~#5 = ef upsubsharp five

* F^s#5 = ef upsubsharp five

I left out chords on purpose. Kite has made much better systems for naming them; see [[Kite's color notation#Chord names]] and [[Hi-lo notation]].

* E^^MSb6 ef dupmeperflat six

I left out chords on purpose. Kite has made much better systems for naming them; see [[Kite's color notation#Chord names|Color notation (chords)]] and [[Hi-lo notation]].

@@ Line 21: / Line 21: @@
 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 – ^^'''⇊⇊'''M2 – ^m3
+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 [[User:Eufalesio/Ultimate#Nomenclature and notation|the notation]] for reasons that will be exposed later.
 Some temperament properties of Ultimate and its subsets are exposed [[User:Eufalesio/Important Tables#Temperament properties of Ultimate edos (I care about)|here]].
@@ Line 236: / Line 236: @@
 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 schisma up, † is a heavily inflated tina)
+Here, 19/16 is †|\m3. 17/16 is 𐕣^|\'''⇊⇊'''M2. (|\ is a schisma up, †/𐕣 is a heavily inflated tina)
 === Insanismic - Insatinismic ===
@@ Line 256: / Line 256: @@
 ––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––
-Unlike Olympic, this one is undeniably '''WAY''' more accurate, at least 100 times more accurate. It can be weakly extended to the whole 19-limit by adding S76/S77 and S2431 (or the [[devicisma]]) to the comma list, however, a tina is required to reach prime 17 and 19, which is close, but not equal to a third of a schismina. 19/16 is †|̈\m3. 17/16 is 𐕣^^'''⇊⇊̱'''M2.
+Unlike Olympic, this one is undeniably '''WAY''' more accurate, at least 100 times more accurate. It can be weakly extended to the whole 19-limit by adding S76/S77 and S2431 (or the [[devicisma]]) to the comma list, however, a tina is required to reach prime 17 and 19, which is close, but not equal to a third of a schismina. 19/16 is †|̈\m3. 17/16 is 𐕣^^⇊⇊̱M2.
 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.
@@ Line 319: / Line 319: @@
 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 even more if you don't respell enharmonically with saquarumas, or go too far down the chain of fifths.
-One instance is writing 5/4 above a 16/11, which is 20/11. Above a C, this is '''⇊'''G - ^'''↓⇊'''B.
+One instance is writing 5/4 above a 16/11, which is 20/11. Above a C, this is '''⇊'''G - ^'''↓'''⇊B.
 A phonetic coding proposal and the alterations for written text are:
@@ Line 325: / Line 325: @@
 |+
 ! rowspan="2" |Main accidentals
-(ASCII)
 ! colspan="9" |Ultimate
 ! colspan="6" |ULTRAOLYMPIC
@@ Line 337: / Line 336: @@
 ! colspan="2" |Tina
 |-
-| rowspan="2" |Symbols
+| rowspan="2" |ASCII-ish symbols
 | rowspan="2" |h
 |#
@@ Line 345: / Line 344: @@
 | rowspan="2" |M
 | rowspan="2" |m
-| rowspan="2" |^
+| rowspan="4" |^
-| rowspan="2" |v
+| rowspan="4" |v
 | rowspan="2" |<nowiki>Y | X</nowiki>
 | rowspan="2" |<nowiki>y | x</nowiki>
 | rowspan="2" |' " "'
 | rowspan="2" |. .. …
-| rowspan="2" | †
+| rowspan="4" | †
-| rowspan="2" | ‡
+| rowspan="2" | ‡ / t
 |-
 |##
@@ Line 358: / Line 357: @@
 |H
 |h
+|-
+| rowspan="2" |Unicode symbols
+| rowspan="2" |♮
+|♯
+|♭
+|↑
+|⇈
+| rowspan="2" |Γ
+| rowspan="2" |L
+| rowspan="2" |<nowiki>/| | |\</nowiki>
+| rowspan="2" |<nowiki>\| | |/</nowiki>
+| rowspan="2" |̇ ̈ ̄
+| rowspan="2" |̣ ̤ ̱
+| rowspan="2" |𐕣
+|-
+|𝄪
+|𝄫
+|'''↓'''
+|⇊
 |-
 | rowspan="2" |Spoken
@@ Line 363: / Line 381: @@
 |sharp
 |flat
-|super
+|(su)per
 |sub
 | rowspan="2" |me
@@ Line 411: / Line 429: @@
 |sesquidim
 |}
-<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. It follows the following equation: ⇈⇈P1 = mm2, ⇈⇈m2 = m'''↓'''M2; 17/16 is then |\^μ↑m2.
+<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. It follows the following equation: ⇈⇈P1 = Lm2, ⇈⇈m2 = L'''↓'''M2; 17/16 is then ^^L↑m2 in Ultimate; or 𐕣|\^L↑̱m2 in Batshittin.
 <big>Of course, you can use whatever phonetic coding you want, as long as it's not ''too bespoke''. IFYKYK.</big>
 === Syntax ===
-For an accidental: (tina) + (schismina) + (sasaruma/layoma) + [saruyoma] + [poma] + [apotome]
+For an accidental: (tina) + (minas) + (sasaruma/layoma) + [saruyomas] + (saquaruma) + [pomas] + [apotome]
 * v# = downsharp
-* ^^'''⇊''' = duphypo
+* ^^h = duphypo
 For intervals: [accidental] + [5L 7s 6|5 nominal]
-* '''↓'''M2 = submajor second
+* sM2 = submajor second
-* ^'''↓'''M3 = upsubmajor third
+* ^sM3 = upsubmajor third
-* v⇈m6 = downhyperminor sixth
+* vHm6 = downhyperminor sixth
 For pitches: [5L 7s 6|5 nominal] + [accidental] + [octave number] <small>(scientific please, A4=440Hz)</small>
 * D4 = dee four
-* E⇈b4 = e hyperflat four
+* EHb4 = e hyperflat four
-* F^'''↓'''#5 = ef upsubsharp five
+* F^s#5 = ef upsubsharp five
-I left out chords on purpose. Kite has made much better systems for naming them; see [[Kite's color notation#Chord names]] and [[Hi-lo notation]].
+* E^^MSb6 ef dupmeperflat six
+I left out chords on purpose. Kite has made much better systems for naming them; see [[Kite's color notation#Chord names|Color notation (chords)]] and [[Hi-lo notation]].