Dave Keenan & Douglas Blumeyer's guide to RTT/Conventions for names, variables, units, and notations: Difference between revisions
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ArrowHead294 (talk | contribs) m Capitalisation and formatting |
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| Line 3,732: | Line 3,732: | ||
! Symbol | ! Symbol | ||
! Name | ! Name | ||
! | ! Vectorized | ||
|- | |- | ||
| <math>\small 𝗴</math> | | <math>\small 𝗴</math> | ||
| Line 3,766: | Line 3,766: | ||
{| class="wikitable center-all mw-collapsible mw-collapsed" | {| class="wikitable center-all mw-collapsible mw-collapsed" | ||
|- | |- | ||
! colspan="6" rowspan="3" | | ! colspan="6" rowspan="3" | Retuning (or mistuning) magnitude | ||
! colspan="12" rowspan="1" | | ! colspan="12" rowspan="1" | Damage | ||
! rowspan="5" | | ! rowspan="5" | Target | ||
intervals | intervals | ||
! colspan="2" rowspan="4" | | ! colspan="2" rowspan="4" | Systematic name | ||
! rowspan="5" | | ! rowspan="5" | Previously named tuning schemes that are specific types of this tuning scheme | ||
! rowspan="5" | | ! rowspan="5" | Of interest? | ||
|- | |- | ||
! colspan="9" rowspan="1" | | ! colspan="9" rowspan="1" | Weight | ||
! colspan="3" rowspan="1" | | ! colspan="3" rowspan="1" | Optimization | ||
|- | |- | ||
! colspan="6" rowspan="1" | | ! colspan="6" rowspan="1" | Interval complexity | ||
! colspan="3" rowspan="1" | | ! colspan="3" rowspan="1" | Slope | ||
! colspan="1" rowspan="3" | | ! colspan="1" rowspan="3" | Initial | ||
! colspan="1" rowspan="3" | | ! colspan="1" rowspan="3" | Name | ||
! colspan="1" rowspan="3" | | ! colspan="1" rowspan="3" | Power | ||
|- | |- | ||
! colspan="3" rowspan="1" | | ! colspan="3" rowspan="1" | Norm pretransformer | ||
! colspan="3" rowspan="1" | | ! colspan="3" rowspan="1" | Norm power | ||
! colspan="3" rowspan="1" | | ! colspan="3" rowspan="1" | Norm pretransformer | ||
! colspan="3" rowspan="1" | | ! colspan="3" rowspan="1" | Norm power | ||
! colspan="1" rowspan="2" | | ! colspan="1" rowspan="2" | Initial | ||
! colspan="1" rowspan="2" | | ! colspan="1" rowspan="2" | Name | ||
! colspan="1" rowspan="2" | | ! colspan="1" rowspan="2" | Multiplier | ||
|- | |- | ||
! | ! Initial | ||
! | ! Name | ||
! | ! Multiplier | ||
! | ! Initial | ||
! | ! Name | ||
! | ! Power | ||
! | ! Initial | ||
! | ! Name | ||
! | ! Multiplier | ||
! | ! Initial | ||
! | ! Name | ||
! | ! Power | ||
! colspan="1" | | ! colspan="1" | Abbreviated | ||
! colspan="1" | | ! colspan="1" | Read ("____ tuning scheme") | ||
|- | |- | ||
| colspan="3" | <none> | | colspan="3" | <none> | ||
| rowspan="4" | <n/a> | | rowspan="4" | <n/a> | ||
| rowspan="2" | | | rowspan="2" | Maximum | ||
| rowspan="2" | | | rowspan="2" | ∞ | ||
| colspan="3" | <none> | | colspan="3" | <none> | ||
| rowspan="2" | (t) | | rowspan="2" | (t) | ||
| rowspan="2" | | | rowspan="2" | Taxicab | ||
| rowspan="2" | 1 | | rowspan="2" | 1 | ||
| rowspan="4" | S | | rowspan="4" | S | ||
| rowspan="4" | | | rowspan="4" | Simplicity-weight | ||
| rowspan="4" | 1/ | | rowspan="4" | 1/Complexity | ||
| rowspan="31" | <n/a> | | rowspan="31" | <n/a> | ||
| rowspan="13" | | | rowspan="13" | Minimax | ||
| rowspan="13" | | | rowspan="13" | ∞ | ||
| rowspan="4" | | | rowspan="4" | All | ||
| | | Minimax-S | ||
| | | Minimax simplicity-weight damage | ||
| "[[TOP]]"/"[[T1]]"/"[[TIPTOP]]"*, "[[CTOP]]", "[[POTOP]]"/"[[POTT]]"* | | "[[TOP]]"/"[[T1]]"/"[[TIPTOP]]"*, "[[CTOP]]", "[[POTOP]]"/"[[POTT]]"* | ||
| yes | | yes | ||
| Line 3,829: | Line 3,829: | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| | | Minimax-<alt>-S | ||
| | | Minimax <alternative>-simplicity-weight damage | ||
| "[[BOP tuning| BOP]]", "[[Weil Norms, Tenney-Weil Norms, and TWp Interval and Tuning Space| Weil]]", "[[Kees]]" | | "[[BOP tuning|BOP]]", "[[Weil Norms, Tenney-Weil Norms, and TWp Interval and Tuning Space|Weil]]", "[[Kees]]" | ||
| yes | | yes | ||
|- | |- | ||
| Line 3,841: | Line 3,841: | ||
| rowspan="2" | Euclidean | | rowspan="2" | Euclidean | ||
| rowspan="2" | 2 | | rowspan="2" | 2 | ||
| | | Minimax-ES | ||
| | | Minimax Euclideanized-simplicity-weight damage | ||
| "[[Tenney-Euclidean tuning| TE]]"/"[[T2]]"/"[[TOP-RMS]]", "[[CTE tuning| CTE]]", "[[POTE tuning| POTE]]" | | "[[Tenney-Euclidean tuning|TE]]"/"[[T2]]"/"[[TOP-RMS]]", "[[CTE tuning|CTE]]", "[[POTE tuning|POTE]]" | ||
| yes | | yes | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| | | Minimax-E-<alt>-S | ||
| | | Minimax Euclideanized-<alternative>-simplicity-weight damage | ||
| "[[Frobenius]]", "[[BE]]", "[[WE]]", "[[KE]]" | | "[[Frobenius]]", "[[BE]]", "[[WE]]", "[[KE]]" | ||
| | | Yes | ||
|- | |- | ||
| colspan="6" rowspan="27" | <n/a> | | colspan="6" rowspan="27" | <n/a> | ||
| colspan="6" | <n/a> | | colspan="6" | <n/a> | ||
| U | | U | ||
| | | Unity-weight | ||
| <none> | | <none> | ||
| rowspan="27" | <set> | | rowspan="27" | <set> | ||
| <set> | | <set> Minimax-U | ||
| <set> | | <set> Minimax unity-weight damage | ||
| "[[Minimax tuning| | | "[[Minimax tuning|Minimax]]" | ||
| yes | | yes | ||
|- | |- | ||
| colspan="3" | <none> | | colspan="3" | <none> | ||
| rowspan="2" | (t) | | rowspan="2" | (t) | ||
| rowspan="2" | | | rowspan="2" | Taxicab | ||
| rowspan="2" | 1 | | rowspan="2" | 1 | ||
| rowspan="4" | S | | rowspan="4" | S | ||
| rowspan="4" | | | rowspan="4" | Simplicity-weight | ||
| rowspan="4" | 1/ | | rowspan="4" | 1/Complexity | ||
| <set> | | <set> Minimax-S | ||
| <set> | | <set> Minimax simplicity-weight damage | ||
| | | | ||
| | | Yes | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> Minimax-<alt>-S | ||
| <set> | | <set> Minimax <alternative>-simplicity-weight damage | ||
| | | | ||
| | | | ||
| Line 3,886: | Line 3,886: | ||
| rowspan="2" | Euclidean | | rowspan="2" | Euclidean | ||
| rowspan="2" | 2 | | rowspan="2" | 2 | ||
| <set> | | <set> Minimax-ES | ||
| <set> | | <set> Minimax Euclideanized-simplicity-weight damage | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> Minimax-E-<alt>-S | ||
| <set> | | <set> Minimax Euclideanized-<alternative>-simplicity-weight damage | ||
| | | | ||
| | | | ||
| Line 3,899: | Line 3,899: | ||
| colspan="3" | <none> | | colspan="3" | <none> | ||
| rowspan="2" | (t) | | rowspan="2" | (t) | ||
| rowspan="2" | | | rowspan="2" | Taxicab | ||
| rowspan="2" | 1 | | rowspan="2" | 1 | ||
| rowspan="4" | C | | rowspan="4" | C | ||
| rowspan="4" | | | rowspan="4" | Complexity-weight | ||
| rowspan="4" | | | rowspan="4" | Complexity | ||
| <set> | | <set> Cinimax-C | ||
| <set> | | <set> Cinimax complexity-weight damage | ||
| | | | ||
| | | Yes | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> Minimax-<alt>-C | ||
| <set> | | <set> Minimax <alternative>-complexity-weight damage | ||
| | | | ||
| | | | ||
| Line 3,919: | Line 3,919: | ||
| rowspan="2" | Euclidean | | rowspan="2" | Euclidean | ||
| rowspan="2" | 2 | | rowspan="2" | 2 | ||
| <set> | | <set> Minimax-EC | ||
| <set> | | <set> Minimax Euclideanized-complexity-weight damage | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> Minimax-E-<alt>-C | ||
| <set> | | <set> Minimax Euclideanized-<alternative>-complexity-weight damage | ||
| | | | ||
| | | | ||
| Line 3,932: | Line 3,932: | ||
| colspan="6" | <n/a> | | colspan="6" | <n/a> | ||
| U | | U | ||
| | | Unity-weight | ||
| <none> | | <none> | ||
| rowspan="9" | | | rowspan="9" | MiniRMS | ||
| rowspan="9" | 2 | | rowspan="9" | 2 | ||
| <set> | | <set> MiniRMS-U | ||
| <set> | | <set> MiniRMS unity-weight damage | ||
| "[[ | | "[[Least squares]]" | ||
| yes | | yes | ||
|- | |- | ||
| colspan="3" | <none> | | colspan="3" | <none> | ||
| rowspan="2" | (t) | | rowspan="2" | (t) | ||
| rowspan="2" | | | rowspan="2" | Raxicab | ||
| rowspan="2" | 1 | | rowspan="2" | 1 | ||
| rowspan="4" | S | | rowspan="4" | S | ||
| rowspan="4" | | | rowspan="4" | Simplicity-weight | ||
| rowspan="4" | 1/ | | rowspan="4" | 1/Complexity | ||
| <set> | | <set> MiniRMS-S | ||
| <set> | | <set> MiniRMS simplicity-weight damage | ||
| | | | ||
| | | Yes | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> MiniRMS-<alt>-S | ||
| <set> | | <set> MiniRMS <alternative>-simplicity-weight damage | ||
| | | | ||
| | | | ||
| Line 3,963: | Line 3,963: | ||
| rowspan="2" | Euclidean | | rowspan="2" | Euclidean | ||
| rowspan="2" | 2 | | rowspan="2" | 2 | ||
| <set> | | <set> MiniRMS-ES | ||
| <set> | | <set> MiniRMS Euclideanized-simplicity-weight damage | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> MiniRMS-E-<alt>-S | ||
| <set> | | <set> MiniRMS Euclideanized-<alternative>-simplicity-weight damage | ||
| | | | ||
| | | | ||
| Line 3,976: | Line 3,976: | ||
| colspan="3" | <none> | | colspan="3" | <none> | ||
| rowspan="2" | (t) | | rowspan="2" | (t) | ||
| rowspan="2" | | | rowspan="2" | Taxicab | ||
| rowspan="2" | 1 | | rowspan="2" | 1 | ||
| rowspan="4" | C | | rowspan="4" | C | ||
| rowspan="4" | | | rowspan="4" | Complexity-weight | ||
| rowspan="4" | | | rowspan="4" | Complexity | ||
| <set> | | <set> MiniRMS-C | ||
| <set> | | <set> MiniRMS complexity-weight damage | ||
| | | | ||
| yes | | yes | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> MiniRMS-<alt>-C | ||
| <set> | | <set> MiniRMS <alternative>-complexity-weight damage | ||
| | | | ||
| | | | ||
| Line 3,996: | Line 3,996: | ||
| rowspan="2" | Euclidean | | rowspan="2" | Euclidean | ||
| rowspan="2" | 2 | | rowspan="2" | 2 | ||
| <set> | | <set> MiniRMS-EC | ||
| <set> | | <set> MiniRMS Euclideanized-complexity-weight damage | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> MiniRMS-E-<alt>-C | ||
| <set> | | <set> MiniRMS Euclideanized-<alternative>-complexity-weight damage | ||
| | | | ||
| | | | ||
| Line 4,009: | Line 4,009: | ||
| colspan="6" | <n/a> | | colspan="6" | <n/a> | ||
| U | | U | ||
| | | Unity-weight | ||
| <none> | | <none> | ||
| rowspan="9" | | | rowspan="9" | Miniaverage | ||
| rowspan="9" | 1 | | rowspan="9" | 1 | ||
| <set> | | <set> Miniaverage-U | ||
| <set> | | <set> Miniaverage unity-weight damage | ||
| | | | ||
| yes | | yes | ||
| Line 4,020: | Line 4,020: | ||
| colspan="3" | <none> | | colspan="3" | <none> | ||
| rowspan="2" | (t) | | rowspan="2" | (t) | ||
| rowspan="2" | | | rowspan="2" | Taxicab | ||
| rowspan="2" | 1 | | rowspan="2" | 1 | ||
| rowspan="4" | S | | rowspan="4" | S | ||
| rowspan="4" | | | rowspan="4" | Simplicity-weight | ||
| rowspan="4" | 1/ | | rowspan="4" | 1/Complexity | ||
| <set> | | <set> Miniaverage-S | ||
| <set> | | <set> Miniaverage simplicity-weight damage | ||
| | | | ||
| | | Yes | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> Miniaverage-<alt>-S | ||
| <set> | | <set> Miniaverage <alternative>-simplicity-weight damage | ||
| | | | ||
| | | | ||
| Line 4,040: | Line 4,040: | ||
| rowspan="2" | Euclidean | | rowspan="2" | Euclidean | ||
| rowspan="2" | 2 | | rowspan="2" | 2 | ||
| <set> | | <set> Miniaverage-ES | ||
| <set> | | <set> Miniaverage Euclideanized-simplicity-weight damage | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> Miniaverage-E-<alt>-S | ||
| <set> | | <set> Miniaverage Euclideanized-<alternative>-simplicity-weight damage | ||
| | | | ||
| | | | ||
| Line 4,053: | Line 4,053: | ||
| colspan="3" | <none> | | colspan="3" | <none> | ||
| rowspan="2" | (t) | | rowspan="2" | (t) | ||
| rowspan="2" | | | rowspan="2" | Taxicab | ||
| rowspan="2" | 1 | | rowspan="2" | 1 | ||
| rowspan="4" | C | | rowspan="4" | C | ||
| rowspan="4" | | | rowspan="4" | Complexity-weight | ||
| rowspan="4" | | | rowspan="4" | Complexity | ||
| <set> | | <set> Miniaverage-C | ||
| <set> | | <set> Miniaverage complexity-weight damage | ||
| | | | ||
| | | Yes | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> Miniaverage-<alt>-C | ||
| <set> | | <set> Miniaverage <alternative>-complexity-weight damage | ||
| | | | ||
| | | | ||
| Line 4,073: | Line 4,073: | ||
| rowspan="2" | Euclidean | | rowspan="2" | Euclidean | ||
| rowspan="2" | 2 | | rowspan="2" | 2 | ||
| <set> | | <set> Miniaverage-EC | ||
| <set> | | <set> Miniaverage Euclideanized-complexity-weight damage | ||
| | | | ||
| | | | ||
|- | |- | ||
| colspan="3" | <various> | | colspan="3" | <various> | ||
| <set> | | <set> Miniaverage-E-<alt>-C | ||
| <set> | | <set> Miniaverage Euclideanized-<alternative>-complexity-weight damage | ||
| | | | ||
| | | | ||
| Line 4,088: | Line 4,088: | ||
{| class="wikitable center-all mw-collapsible mw-collapsed" | {| class="wikitable center-all mw-collapsible mw-collapsed" | ||
|- | |- | ||
! colspan="2" | | ! colspan="2" | Quantity | ||
! colspan="2" | | ! colspan="2" | Unit | ||
|- | |- | ||
! | ! Abbreviation | ||
! | ! Name | ||
! | ! Symbol | ||
! | ! Name | ||
|- | |- | ||
| U-damage | | U-damage | ||
| | | Unity-weight damage | ||
| <math>\mathsf{¢}\small\mathsf{(U)}</math> | | <math>\mathsf{¢}\small\mathsf{(U)}</math> | ||
| | | Unity-weighted cents | ||
|- | |- | ||
| C-damage | | C-damage | ||
| | | Complexity-weight damage | ||
| <math>\mathsf{¢}\small\mathsf{(C)}</math> | | <math>\mathsf{¢}\small\mathsf{(C)}</math> | ||
| | | Complexity-weighted cents | ||
|- | |- | ||
| <alt>-C-damage | | <alt>-C-damage | ||
| Line 4,122: | Line 4,122: | ||
|- | |- | ||
| S-damage | | S-damage | ||
| | | Simplicity-weight damage | ||
| <math>\mathsf{¢}\small\mathsf{(S)}</math> | | <math>\mathsf{¢}\small\mathsf{(S)}</math> | ||
| | | Simplicity-weighted cents | ||
|- | |- | ||
| <alt>-S-damage | | <alt>-S-damage | ||
| Line 4,145: | Line 4,145: | ||
{| class="wikitable center-all mw-collapsible mw-collapsed" | {| class="wikitable center-all mw-collapsible mw-collapsed" | ||
|- | |- | ||
! colspan="2" | | ! colspan="2" | Quantity | ||
! colspan="2" | | ! colspan="2" | Unit | ||
|- | |- | ||
! | ! Abbreviation | ||
! | ! Name | ||
! | ! Unit | ||
! | ! Name | ||
|- | |- | ||
| C | | C | ||
| | | Complexity | ||
| <math>\small\mathsf{𝟙}\scriptsize\mathsf{(C)}</math> = <math>\small\mathsf{(C)}</math> | | <math>\small\mathsf{𝟙}\scriptsize\mathsf{(C)}</math> = <math>\small\mathsf{(C)}</math> | ||
| | | Complexity weight | ||
|- | |- | ||
| <alt>-C | | <alt>-C | ||
| Line 4,174: | Line 4,174: | ||
|- | |- | ||
| S | | S | ||
| | | Simplicity | ||
| <math>\small\mathsf{𝟙}\scriptsize\mathsf{(S)}</math> = <math>\small\mathsf{(S)}</math> | | <math>\small\mathsf{𝟙}\scriptsize\mathsf{(S)}</math> = <math>\small\mathsf{(S)}</math> | ||
| | | Simplicity weight | ||
|- | |- | ||
| <alt>-S | | <alt>-S | ||
| Line 4,197: | Line 4,197: | ||
Are you tired of every time web-searching for and copy-pasting special characters that you use over and over in RTT discussions, or would like to use if only it were easy, such as ♯, ♭, ¢, √, °, ₂, ×, ⁻¹, ⟩, ∞, and ϕ? Well, try [http://wincompose.info/ WinCompose]! This tool lets you communicate about these ideas without disrupting your train of thought, by typing these characters with simple and memorable key sequences. These sequences always begin with your chosen Compose-key, which defaults to being your right Alt key. When describing these sequences we represent this key with the symbol ⎄. So for example, you type ♯ as ⎄##, ♭ as ⎄bb, ¢ as ⎄c/, √ as ⎄v/, ° as ⎄00, ₂ as ⎄-2, × as ⎄xx, ⁻¹ as ⎄11, ⟩ as ⎄>>, ∞ as ⎄88, and ϕ as ⎄8f. | Are you tired of every time web-searching for and copy-pasting special characters that you use over and over in RTT discussions, or would like to use if only it were easy, such as ♯, ♭, ¢, √, °, ₂, ×, ⁻¹, ⟩, ∞, and ϕ? Well, try [http://wincompose.info/ WinCompose]! This tool lets you communicate about these ideas without disrupting your train of thought, by typing these characters with simple and memorable key sequences. These sequences always begin with your chosen Compose-key, which defaults to being your right Alt key. When describing these sequences we represent this key with the symbol ⎄. So for example, you type ♯ as ⎄##, ♭ as ⎄bb, ¢ as ⎄c/, √ as ⎄v/, ° as ⎄00, ₂ as ⎄-2, × as ⎄xx, ⁻¹ as ⎄11, ⟩ as ⎄>>, ∞ as ⎄88, and ϕ as ⎄8f. | ||
For Windows users, install WinCompose then copy-paste the contents of this file: https://dkeenan.com/XCompose.txt into your user sequences (Show sequences | For Windows users, install WinCompose then copy-paste the contents of this file: https://dkeenan.com/XCompose.txt into your user sequences (Show sequences → User-defined sequences → Edit). Then save and reload. You can always choose to override or add alternatives to our sequences if you find others to be more intuitive. | ||
For Mac users, we refer you to this repo, which gives tools and instructions for setting up key bindings as compose rules in Mac OS, and even comes pre-packaged with our rules: https://github.com/cmloegcmluin/compose2keybindings | For Mac users, we refer you to this repo, which gives tools and instructions for setting up key bindings as compose rules in Mac OS, and even comes pre-packaged with our rules: https://github.com/cmloegcmluin/compose2keybindings | ||
| Line 4,204: | Line 4,204: | ||
{| class="wikitable mw-collapsible mw-collapsed" | {| class="wikitable mw-collapsible mw-collapsed" | ||
|- | |- | ||
! scope="col" | ! scope="col" style="width: 130px;" | Compose-key sequence | ||
! scope="col" | ! scope="col" style="width: 75px;" | Resulting text | ||
! Description | ! Description | ||
|- | |- | ||
! colspan="3 | ! colspan="3" | Keyboard key symbols | ||
|- | |- | ||
| ⎄⎄⎄ | | ⎄⎄⎄ | ||
| Line 4,684: | Line 4,684: | ||
=== Keyboard map === | === Keyboard map === | ||
[[File:WinCompose keyboard map.png| 1000px]] | [[File:WinCompose keyboard map.png|1000px]] | ||
== Footnotes == | == Footnotes == | ||