User:Ganaram inukshuk/Notes: Difference between revisions
→Describing moschromatic and mosenharmonic scales: Added description for scales after mosenharmonic: mosschismic; may need refining later |
Added tables to visualize the TAMNAMS step ratio ranges |
||
Line 1,740: | Line 1,740: | ||
|An indirect reference to "hap'''py dec'''atonic", a name from Graham Breed's naming system. This drops the anti- prefix | |An indirect reference to "hap'''py dec'''atonic", a name from Graham Breed's naming system. This drops the anti- prefix | ||
|The "py" may falsely suggest a connection with Pythagorean tuning. | |The "py" may falsely suggest a connection with Pythagorean tuning. | ||
|} | |||
== Visualizing the TAMNAMS step ratio ranges == | |||
I wanted to make a table that better visualizes the step ratio ranges as described by TAMNAMS. | |||
{| class="wikitable" | |||
! colspan="11" |Central spectrum of step ratios | |||
|- | |||
! colspan="8" |Intermediate ranges | |||
! colspan="2" |Specific step ratios | |||
! rowspan="2" |Notes | |||
|- | |||
!Range | |||
!Name | |||
!Range | |||
!Name | |||
!Range | |||
!Name | |||
!Range | |||
!Name | |||
!Ratio | |||
!Name | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|'''1:1''' | |||
|'''equalized''' | |||
|Trivial/pathological | |||
|- | |||
| rowspan="15" |1:1 to 1:0 | |||
| rowspan="15" |n/a | |||
| rowspan="7" |1:1 to 2:1 | |||
| rowspan="7" |n/a | |||
| rowspan="3" |1:1 to 3:2 | |||
| rowspan="3" |n/a | |||
|1:1 to 4:3 | |||
|ultrasoft | |||
| | |||
| | |||
|Step ratios especially close to 1:1 may be called pseudoequalized | |||
|- | |||
| | |||
| | |||
|'''4:3''' | |||
|'''supersoft''' | |||
| | |||
|- | |||
|4:3 to 3:2 | |||
|parasoft | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
|'''3:2''' | |||
|'''soft''' | |||
|Also called monosoft | |||
|- | |||
| rowspan="3" |3:2 to 2:1 | |||
| rowspan="3" |hyposoft | |||
|3:2 to 5:3 | |||
|quasisoft | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|'''5:3''' | |||
|'''semisoft''' | |||
| | |||
|- | |||
|5:3 to 2:1 | |||
|minisoft | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|'''2:1''' | |||
|'''basic''' | |||
|Also called quintessential | |||
|- | |||
| rowspan="7" |2:1 to 1:0 | |||
| rowspan="7" |n/a | |||
| rowspan="3" |2:1 to 3:1 | |||
| rowspan="3" |hypohard | |||
|2:1 to 5:2 | |||
|minihard | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|'''5:2''' | |||
|'''semihard''' | |||
| | |||
|- | |||
|5:2 to 3:1 | |||
|quasihard | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
|'''3:1''' | |||
|'''hard''' | |||
|Also called monohard | |||
|- | |||
| rowspan="3" |3:1 to 1:0 | |||
| rowspan="3" |n/a | |||
|3:1 to 4:1 | |||
|parahard | |||
| | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|'''4:1''' | |||
|'''superhard''' | |||
| | |||
|- | |||
|4:1 to 1:0 | |||
|ultrahard | |||
| | |||
| | |||
|Step ratios especially close to 1:0 may be called pseudocollapsed | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|'''1:0''' | |||
|'''collapsed''' | |||
|Trivial/pathological | |||
|} | |||
{| class="wikitable" | |||
! colspan="8" |Extended spectrum of step ratios | |||
|- | |||
! colspan="4" |Central ranges | |||
! colspan="2" |Extended ranges | |||
!Specific step ratios | |||
!Notes | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| colspan="2" | | |||
|'''1:1 (equalized)''' | |||
| | |||
|- | |||
| rowspan="21" |1:1 to 1:0 | |||
| rowspan="9" |1:1 to 2:1 (general soft range) | |||
| rowspan="5" |1:1 to 3:2 | |||
| rowspan="3" |1:1 to 4:3 (ultrasoft) | |||
| colspan="2" |1:1 to 6:5 (pseudoequalized) | |||
| | |||
| | |||
|- | |||
| colspan="2" | | |||
|'''6:5 (semiequalized)''' | |||
| | |||
|- | |||
| colspan="2" |6:5 to 4:3 (ultrasoft) | |||
| | |||
| | |||
|- | |||
| | |||
| colspan="2" | | |||
|'''4:3 (supersoft)''' | |||
| rowspan="13" |Nonextreme range, as detailed by central spectrum | |||
|- | |||
|4:3 to 3:2 (parasoft) | |||
| colspan="2" |4:3 to 3:2 (parasoft) | |||
| | |||
|- | |||
| | |||
| | |||
| colspan="2" | | |||
|'''3:2 (soft)''' | |||
|- | |||
| rowspan="3" |3:2 to 2:1 (hyposoft) | |||
|3:2 to 5:3 (quasisoft) | |||
| colspan="2" |3:2 to 5:3 (quasisoft) | |||
| | |||
|- | |||
| | |||
| colspan="2" | | |||
|'''5:3 (semisoft)''' | |||
|- | |||
|5:3 to 2:1 (minisoft) | |||
| colspan="2" |5:3 to 2:1 (minisoft) | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| colspan="2" | | |||
|'''2:1 (basic)''' | |||
|- | |||
| rowspan="11" |2:1 to 1:0 (general hard range) | |||
| rowspan="3" |2:1 to 3:1 (hypohard) | |||
|2:1 to 5:2 (minihard) | |||
| colspan="2" |2:1 to 5:2 (minihard) | |||
| | |||
|- | |||
| | |||
| colspan="2" | | |||
|'''5:2 (semihard)''' | |||
|- | |||
|5:2 to 3:1 (quasihard) | |||
| colspan="2" |5:2 to 3:1 (quasihard) | |||
| | |||
|- | |||
| | |||
| | |||
| colspan="2" | | |||
|'''3:1 (hard)''' | |||
|- | |||
| rowspan="7" |3:1 to 1:0 | |||
|3:1 to 4:1 (parahard) | |||
| colspan="2" |3:1 to 4:1 (parahard) | |||
| | |||
|- | |||
| | |||
| colspan="2" | | |||
|'''4:1 (superhard)''' | |||
|- | |||
| rowspan="5" |4:1 to 1:0 (ultrahard) | |||
| rowspan="3" |4:1 to 10:1 (ultrahard) | |||
|4:1 to 6:1 (hyperhard) | |||
| | |||
| | |||
|- | |||
| | |||
|'''6:1 (extrahard)''' | |||
| | |||
|- | |||
|6:1 to 10:1 (clustered) | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
|'''10:1 (pseudocollapsed)''' | |||
| | |||
|- | |||
| colspan="2" |10:1 to 1:0 (pseudocollapsed) | |||
| | |||
| | |||
|- | |||
| | |||
| | |||
| | |||
| | |||
| | |||
| | |||
|'''1:0 (collapsed)''' | |||
| | |||
|} | |} | ||