User:Inthar/Sandbox: Difference between revisions

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== Conjectures ==
== Mode names ==
* "If ''N''-edo approximates ''p''/''q'' with error δ = δ(''p'', ''q''), then any neji in mode ''m'' for any ''m'' ≤ ''M''(''p'', ''q'', ''N'') must have more than ε error"
=== 5L4s ===
Inthar and cellularAutomaton have proposed mode names for 5L4s based on scientific names of various corvids. The names as of 5/2/23{{Clarify}} are as follows.
 
{{#invoke: MOS_modes | modes_table
| Scale Signature=5L4s
| Mode Names=Cristatan$
Pican$
Stellerian$
Podocian$
Nucifragan$
Coracian$
Frugilegian$
Temnurial$
Pyrrhian
| Table Headers=Name Origin
| Table Entries=Bluejay ''(Cyanocitta cristata)''$
Magpie ''(Pica pica)''$
Steller's jay ''(Cyanocitta stelleri)''$
Ground jay ''(genus Podoces)''$
Nutcracker ''(genus Nucifraga)''$
Common raven ''(Corvus corax)''$
Rook ''(Corvus frugilegus)''$
Ratchet-tailed treepie ''(genus Temnurus)''$
Chough ''(genus Pyrrhocorax)''$
| Collapsed=
| debug={{lc:}}
}}
 
== Theory versus Math ==
An article about a music theory framework merits a ''guarded page''. Guarded pages should stay maximally true to the theory's concepts and terms. This is because music theory by nature includes the value judgments of the theorist.
 
With the theorist's permission, an associated concept may have a non-guarded page, but any sections explaining the significance to that theory itself should be guarded.
 
Mathematical constructions, even if originally developed in close association with that theory, may be described in a more idiosyncratic style (if necessary, a more conventionally mathematical one), with the proviso that it must be (accessibly!) transparent as to what the construction is guaranteed to satisfy and what it is not.
 
 
Example: [[aberrismic theory]] is a guarded page since it's a Theory page, while [[MOS substitution]] is not, since it's a Math page. What about [[blackdye]]?

Latest revision as of 15:13, 6 March 2025

Mode names

5L4s

Inthar and cellularAutomaton have proposed mode names for 5L4s based on scientific names of various corvids. The names as of 5/2/23[clarification needed] are as follows.

Modes of 5L 4s
UDP Cyclic
order
Step
pattern
Mode names Name Origin
8|0 1 LLsLsLsLs Cristatan Bluejay (Cyanocitta cristata)
7|1 8 LsLLsLsLs Pican Magpie (Pica pica)
6|2 6 LsLsLLsLs Stellerian Steller's jay (Cyanocitta stelleri)
5|3 4 LsLsLsLLs Podocian Ground jay (genus Podoces)
4|4 2 LsLsLsLsL Nucifragan Nutcracker (genus Nucifraga)
3|5 9 sLLsLsLsL Coracian Common raven (Corvus corax)
2|6 7 sLsLLsLsL Frugilegian Rook (Corvus frugilegus)
1|7 5 sLsLsLLsL Temnurial Ratchet-tailed treepie (genus Temnurus)
0|8 3 sLsLsLsLL Pyrrhian Chough (genus Pyrrhocorax)

Theory versus Math

An article about a music theory framework merits a guarded page. Guarded pages should stay maximally true to the theory's concepts and terms. This is because music theory by nature includes the value judgments of the theorist.

With the theorist's permission, an associated concept may have a non-guarded page, but any sections explaining the significance to that theory itself should be guarded.

Mathematical constructions, even if originally developed in close association with that theory, may be described in a more idiosyncratic style (if necessary, a more conventionally mathematical one), with the proviso that it must be (accessibly!) transparent as to what the construction is guaranteed to satisfy and what it is not.


Example: aberrismic theory is a guarded page since it's a Theory page, while MOS substitution is not, since it's a Math page. What about blackdye?