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→Notes and issues: Gave in and proposed names based on step ratios, for all three generations
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** An issue with using letter-based prefixes is that many of them are based on temperaments. A temperament-agnostic interpretation will be needed if these letters are to be generalized outside of the diatonic family.
** An issue with using letter-based prefixes is that many of them are based on temperaments. A temperament-agnostic interpretation will be needed if these letters are to be generalized outside of the diatonic family.
** Yet another issue is that the pattern of f-, m-, p-, and s-, all based on temperaments, does not continue with 3rd-generation mosses in that f- and s- are no longer at the extremes and p- is no longer at the midpoint (see table below). Either 3rd-generation mosses need a different set of prefixes, or a different set of prefixes are needed throughout.
** Yet another issue is that the pattern of f-, m-, p-, and s-, all based on temperaments, does not continue with 3rd-generation mosses in that f- and s- are no longer at the extremes and p- is no longer at the midpoint (see table below). Either 3rd-generation mosses need a different set of prefixes, or a different set of prefixes are needed throughout.
** In the spirit of TAMNAMS being temperament-agnostic, a proper solution may be to not use and shoehorn temperament-suggestive prefixes, but rather use the names for step ratios. This lines up with Frostburn's proposal, but applies to the first three generations, not just the third. (Frostburn's proposed abbreviations may also work.)
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Diatonic scale
! rowspan="2" |Diatonic scale
! colspan="2" |Child scales
! colspan="2" |Child scales
! colspan="2" |Grandchild scales
! colspan="2" |Grandchild scales
! colspan="2" |Great-grandchild scales
! colspan="3" |Great-grandchild scales
|-
|-
!Steps
!Steps
Line 1,777: Line 1,778:
!Steps
!Steps
!Notable temperament(s)
!Notable temperament(s)
!Would-be prefix
|-
|-
| rowspan="8" |[[5L 2s]]
| rowspan="8" |[[5L 2s]]
Line 1,785: Line 1,787:
|[[7L 19s]]
|[[7L 19s]]
|tridecimal
|tridecimal
|t-
|-
|-
|[[19L 7s]]
|[[19L 7s]]
|'''flattone'''
|'''flattone'''
|f-
|-
|-
| rowspan="2" |[[12L 7s]]
| rowspan="2" |[[12L 7s]]
Line 1,793: Line 1,797:
|[[19L 12s]]
|[[19L 12s]]
|'''meanpop'''
|'''meanpop'''
|m-
|-
|-
|[[12L 19s]]
|[[12L 19s]]
|huygens
|huygens
|h-
|-
|-
| rowspan="4" |[[5L 7s]]
| rowspan="4" |[[5L 7s]]
Line 1,803: Line 1,809:
|[[12L 17s]]
|[[12L 17s]]
|'''pythagorean'''
|'''pythagorean'''
|p-
|-
|-
|[[17L 12s]]
|[[17L 12s]]
|gentle
|gentle
|g-
|-
|-
| rowspan="2" |[[5L 12s]]
| rowspan="2" |[[5L 12s]]
Line 1,811: Line 1,819:
|[[17L 5s]]
|[[17L 5s]]
|'''superpyth'''
|'''superpyth'''
|s-
|-
|-
|[[5L 17s]]
|[[5L 17s]]
|ultrapyth
|ultrapyth
|u-
|}
{| class="wikitable"
! rowspan="2" |Diatonic scale
! colspan="3" |Child scales
! colspan="3" |Grandchild scales
! colspan="3" |Great-grandchild scales
|-
!Steps
!Name based on step ratio
!Possible abbrev.
!Steps
!Name based on step ratio
!Possible abbrev.
!Steps
!Name based on step ratio
!Possible abbrev.
|-
| rowspan="15" |[[5L 2s]]
| rowspan="7" |[[7L 5s]]
| rowspan="7" |soft-chromatic
| rowspan="7" |s-chromatic
| rowspan="3" |[[7L 12s]]
| rowspan="3" |soft-enharmonic
| rowspan="3" |s-enharmonic
|[[7L 19s]]
|ultrasoft-subchromatic
|us-subchromatic
|-
|26edo
|
|
|-
|[[19L 7s]]
|parasoft-subchromatic
|ps-subchromatic
|-
|19edo
|
|
|
|
|
|-
| rowspan="3" |[[12L 7s]]
| rowspan="3" |hyposoft-enharmonic
| rowspan="3" |hs-enharmonic
|[[19L 12s]]
|quasisoft-subchromatic
|qs-subchromatic
|-
|50edo
|
|
|-
|[[12L 19s]]
|minisoft-subchromatic
|ms-subchromatic
|-
|12edo
|equalized-chromatic
|e-chromatic
|
|
|
|
|
|
|-
| rowspan="7" |[[5L 7s]]
| rowspan="7" |hard-chromatic
| rowspan="7" |h-chromatic
| rowspan="3" |[[12L 5s]]
| rowspan="3" |hypohard-enharmonic
| rowspan="3" |hh-enharmonic
|[[12L 17s]]
|minihard-subchromatic
|mh-subchromatic
|-
|31edo
|
|
|-
|[[17L 12s]]
|quasihard-subchromatic
|qh-subchromatic
|-
|17edo
|
|
|
|
|
|-
| rowspan="3" |[[5L 12s]]
| rowspan="3" |hard-enharmonic
| rowspan="3" |h-enharonic
|[[17L 5s]]
|parahard-subchromatic
|ph-subchromatic
|-
|39edo
|
|
|-
|[[5L 17s]]
|ultrahard-subchromatic
|uh-subchromatic
|}
|}
== Proposal: Naming mos modes ==
== Proposal: Naming mos modes ==
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