Sagittal notation: Difference between revisions

|{{sagittal|(|| ~}}

It is the simplest and coarsest of the Sagittal sets. The Spartan set has a maximum resolution of 13EDA<ref>https://forum.sagittal.org/viewtopic.php?t=516</ref>, which is ''sufficient'' to notate 13*-limit just intonation (if used for JI), and all EDOs which are at most sharp-13, including all EDOs from 1 up to and including 111, the [[Zeta peak edo|zeta peaks]] [[130edo|130]], [[142edo|142]], among many others. If used with tempered systems, it can be used to write music in the 23-limit, such as with 94edo.

When used for JI, it defines the ''Standard Medium Precision JI,'' capable of writing in the 17-limit.

It adds 20 more symbols to Athenian symbol set, allowing for a maximum resolution of 47EDA. When used for JI, it defines the ''Standard High Precision JI'' capable of writing in the 23-limit, however, this JI notation is not recommended. It instead can be used to write in EDOs such as the [[Zeta peak edo|zeta edos]] [[270edo|270]] and [[311edo|311]].

It adds the [[schisma]] diacritic to the Promethean symbol set, which can be stacked with the remaining alterations, allowing for a maximum resolution of 58EDA. When used for JI, it defines the ''Standard Ultra Precision JI'' capable of writing in the 23-limit with higher precision.

It adds the [[4096/4095|''mina'']] diacritic to the Herculean symbol set, able to be stacked up to twice with the schisma and the remaining alterations, allowing for a maximum resolution of 233EDA. When used for JI, it defines the ''Standard Extreme Precision JI'' capable of writing in the 47-limit with great precision. It also is the smallest precision level that has an "exact" mapping for prime 13, thanks to the mina's appearance. 13/8 is now written as a major sixth minus the 35 large diesis and a mina. From C, this would be C - A{{sagittal|,}}{{sagittal|(!/}} .

It adds the ''tina'' diacritic to the Olympian symbol set, able to be stacked up to thrice with any of the symbols (three tinas make a ~mina), allowing for a whopping maximum resolution of 809EDA. When used for JI, it defines the ''Standard Insane Precision JI'' capable of writing in the 127-limit with astonishing precision. There is no level of precision higher than this, and it is unlikely that one will ever exist. Unless you want some hot sauce.<ref name=":0">https://forum.sagittal.org/viewtopic.php?p=2714&hilit=bomb#p2714  "A tina is approximately 1/809th of an apotome, 1/8539th of an octave (a [[Zeta peak edo|zeta-peak EDO]]), or 0.14 cents. The fractional-tina is generally half a tina but is intentionally arbitrary, because if you need any more precision than that, I have a bottle of Da' Bomb Beyond Insanity Hot Sauce with your name on it"</ref>

| rowspan="5" |F{{sagittal|||\}}

| rowspan="5" |C{{sagittal|!)}}

| rowspan="5" |G{{sagittal|/|\}}

| rowspan="3" |B{{sagittal|\!)}}(0.42)

|D{{sagittal|)||| }} (2.971)

| rowspan="2" |F{{sagittal||(}} (2.380)

|A{{sagittal|\\!}} (3.008)

|C{{sagittal||)}} (6.223)

| rowspan="2" |D{{sagittal|\!/}}(1.691)

| rowspan="4" |E{{sagittal|(!!(}}

|A{{sagittal|~!!(}}(1.009)

| rowspan="2" |C{{sagittal|(| }} (0.339)

| rowspan="3" |F{{sagittal|)| }}

| rowspan="3" |A{{sagittal|)~!!}}

|D{{sagittal|(\!}}(0.436)

| rowspan="2" |B{{sagittal|,}}{{sagittal|\!)}}

| rowspan="2" |D{{sagittal|,}}{{sagittal|(\!}} (0.013)