TAMNAMS: Difference between revisions
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{{Mbox|text=The content of this page is maintained by '''members of the Xenharmonic Alliance Discord'''. If you have any questions, spot any errors, or have any suggestions, be sure to ask there!}} | {{Mbox|text=The content of this page is maintained by '''members of the Xenharmonic Alliance Discord'''. If you have any questions, spot any errors, or have any suggestions, be sure to ask there!}} | ||
'''TAMNAMS''' (from '''''T'''emperament-'''A'''gnostic '''M'''os '''NAM'''ing '''S'''ystem'', read as /ˈteɪmneɪmz/ or /ˈtæmnæmz/), devised by the XA Discord in 2021, is a system of temperament-agnostic names for scales—primarily [[Octave equivalence|octave-equivalent]] [[moment of symmetry]] scales—as well as | '''TAMNAMS''' (from '''''T'''emperament-'''A'''gnostic '''M'''os '''NAM'''ing '''S'''ystem'', read as /ˈteɪmneɪmz/ or /ˈtæmnæmz/), devised by the XA Discord in 2021, is a system of temperament-agnostic names for scales—primarily [[Octave equivalence|octave-equivalent]] [[moment of symmetry]] scales—as well as their intervals, their associated generator ranges, and the ratios describing the proportions of large and small steps. | ||
The goal of TAMNAMS is to allow musicians and theorists to discuss moment-of-symmetry scales, or mosses, independent of the language of [[regular temperament theory]]. For example, the names ''flattone[7]'', ''meantone[7]'', ''pythagorean[7]'', and ''superpyth[7]'' all describe the same step pattern of 5L 2s, with different proportions of large and small steps. Under TAMNAMS parlance, these names can be described broadly as ''soft 5L 2s'' (for flattone and meantone) and ''hard 5L 2s'' (for pythagorean and superpyth). For discussions of the step pattern itself, the name ''5L 2s'' or, in this example, ''diatonic'', is used. | The goal of TAMNAMS is to allow musicians and theorists to discuss moment-of-symmetry scales, or mosses, independent of the language of [[regular temperament theory]]. For example, the names ''flattone[7]'', ''meantone[7]'', ''pythagorean[7]'', and ''superpyth[7]'' all describe the same step pattern of 5L 2s, with different proportions of large and small steps. Under TAMNAMS parlance, these names can be described broadly as ''soft 5L 2s'' (for flattone and meantone) and ''hard 5L 2s'' (for pythagorean and superpyth). For discussions of the step pattern itself, the name ''5L 2s'' or, in this example, ''diatonic'', is used. | ||
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In some cases it can be clearer to name step ratio ranges by their ranges in hardness (for example, 1-1.33 for ultrasoft) or by their boundary step ratios (for example, equalized-to-supersoft for ultrasoft) than by the step ratio ranges tabulated here. | In some cases it can be clearer to name step ratio ranges by their ranges in hardness (for example, 1-1.33 for ultrasoft) or by their boundary step ratios (for example, equalized-to-supersoft for ultrasoft) than by the step ratio ranges tabulated here. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ style="font-size: 105%;" | Spectrum of step ratio ranges and specific step ratios | |+ style="font-size: 105%;" | Spectrum of step ratio ranges and specific step ratios | ||
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! colspan="3" | Step ratio ranges | ! colspan="3" | Step ratio ranges | ||
! Specific<br />step ratios | ! Specific<br />step ratios | ||
!Hardness | ! Hardness | ||
! Notes | ! Notes | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
| '''1:1<br />(equalized)''' | | '''1:1<br />(equalized)''' | ||
|1 | | 1 | ||
| Trivial/pathological | | Trivial/pathological | ||
|- | |- | ||
| rowspan="7" | 1:1 to 2:1<br />(soft-of-basic) | | rowspan="7" | 1:1 to 2:1<br />(soft-of-basic) | ||
| colspan="2" | 1:1 to 4:3<br />(ultrasoft) | | colspan="2" | 1:1 to 4:3<br />(ultrasoft) | ||
| | | | ||
| | | | ||
| Step ratios especially close to 1:1 may be called pseudoequalized | | Step ratios especially close to 1:1 may be called pseudoequalized | ||
|- | |- | ||
| | | | ||
| | | | ||
| '''4:3<br />(supersoft)''' | | '''4:3<br />(supersoft)''' | ||
|1.33 | | 1.33 | ||
| | | | ||
|- | |- | ||
| colspan="2" | 4:3 to 3:2<br />(parasoft) | | colspan="2" | 4:3 to 3:2<br />(parasoft) | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | | ||
| '''3:2<br />(soft)''' | | '''3:2<br />(soft)''' | ||
|1.5 | | 1.5 | ||
| Also called monosoft | | Also called monosoft | ||
|- | |- | ||
| rowspan="3" | 3:2 to 2:1<br />(hyposoft) | | rowspan="3" | 3:2 to 2:1<br />(hyposoft) | ||
| 3:2 to 5:3<br />(quasisoft) | | 3:2 to 5:3<br />(quasisoft) | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| | | | ||
| '''5:3<br />(semisoft)''' | | '''5:3<br />(semisoft)''' | ||
|1.67 | | 1.67 | ||
| | | | ||
|- | |- | ||
| 5:3 to 2:1<br />(minisoft) | | 5:3 to 2:1<br />(minisoft) | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
| '''2:1<br />(basic)''' | | '''2:1<br />(basic)''' | ||
|2 | | 2 | ||
| | | | ||
|- | |- | ||
| rowspan="7" | 2:1 to 1:0<br />(hard-of-basic) | | rowspan="7" | 2:1 to 1:0<br />(hard-of-basic) | ||
| rowspan="3" | 2:1 to 3:1<br />(hypohard) | | rowspan="3" | 2:1 to 3:1<br />(hypohard) | ||
| 2:1 to 5:2<br />(minihard) | | 2:1 to 5:2<br />(minihard) | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| | | | ||
| '''5:2<br />(semihard)''' | | '''5:2<br />(semihard)''' | ||
|2.5 | | 2.5 | ||
| | | | ||
|- | |- | ||
| 5:2 to 3:1<br />(quasihard) | | 5:2 to 3:1<br />(quasihard) | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | | ||
| '''3:1<br />(hard)''' | | '''3:1<br />(hard)''' | ||
|3 | | 3 | ||
| Also called monohard | | Also called monohard | ||
|- | |- | ||
| colspan="2" | 3:1 to 4:1<br />(parahard) | | colspan="2" | 3:1 to 4:1<br />(parahard) | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| | | | ||
| | | | ||
| '''4:1<br />(superhard)''' | | '''4:1<br />(superhard)''' | ||
|4 | | 4 | ||
| | | | ||
|- | |- | ||
| colspan="2" | 4:1 to 1:0<br />(ultrahard) | | colspan="2" | 4:1 to 1:0<br />(ultrahard) | ||
| | | | ||
| | | | ||
| Step ratios especially close to 1:0 may be called pseudocollapsed | | Step ratios especially close to 1:0 may be called pseudocollapsed | ||
|- | |- | ||
| | | | ||
| | | | ||
| | | | ||
| '''1:0<br />(collapsed)''' | | '''1:0<br />(collapsed)''' | ||
|infinity | | infinity | ||
| Trivial/pathological | | Trivial/pathological | ||
|} | |} | ||
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{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ style="font-size: | |+ style="font-size: 105%;" | TAMNAMS moss names | ||
|- | |- | ||
! colspan="5" | 6-note mosses | ! colspan="5" | 6-note mosses | ||
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Various users have proposed names for mosses with more than 10 steps, commonly referred to as "TAMNAMS extensions". Chief among these are the following: | Various users have proposed names for mosses with more than 10 steps, commonly referred to as "TAMNAMS extensions". Chief among these are the following: | ||
*[[User:Frostburn/TAMNAMS Extension]] | * [[User:Frostburn/TAMNAMS Extension]] | ||
*[[User:Ganaram inukshuk/TAMNAMS Extension]] | * [[User:Ganaram inukshuk/TAMNAMS Extension]] | ||
== Naming mos modes == | == Naming mos modes == | ||
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== Appendix== | == Appendix== | ||
=== Reasoning for step ratio names === | === Reasoning for step ratio names === | ||
{{Main| | {{Main|TAMNAMS/Appendix#Reasoning for step ratio names}} | ||
=== Reasoning for mos interval names === | === Reasoning for mos interval names === | ||
{{Main| | {{Main|TAMNAMS/Appendix#Reasoning for mos interval names}} | ||
=== Reasoning for mos pattern names === | === Reasoning for mos pattern names === | ||
{{Main| | {{Main|TAMNAMS/Appendix#Reasoning for mos pattern names}} | ||
[[Category:TAMNAMS]] | [[Category:TAMNAMS]] | ||