User:Ganaram inukshuk/Diagrams: Difference between revisions
→Family Tree of MOSses: Given the knowledge provided by others on the xen Discord, I uploaded another version of the MOS family tree that includes multi-period MOSses. |
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Personal note: <s>I don't think I've ever seen a scale tree organized like this, but I'd be curious to know if it's been conceived elsewhere. The fact that it only contains single-period scales makes it unusual compared to other scale trees.</s> It turns out this is a [[wikipedia:Stern–Brocot_tree|Stern-Brocot tree]] adapted to show the relationship between MOSses. SB trees only ever show ratios in their reduced form, hence why the MOS family tree only shows single-period MOSses. | Personal note: <s>I don't think I've ever seen a scale tree organized like this, but I'd be curious to know if it's been conceived elsewhere. The fact that it only contains single-period scales makes it unusual compared to other scale trees.</s> It turns out this is a [[wikipedia:Stern–Brocot_tree|Stern-Brocot tree]] adapted to show the relationship between MOSses. SB trees only ever show ratios in their reduced form, hence why the MOS family tree only shows single-period MOSses. | ||
=== Single-period MOSses only === | |||
The scales depicted here are as follows, using TAMNAMS names wherever possible: | The scales depicted here are as follows, using TAMNAMS names wherever possible: | ||
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## '''3L 8s''' and '''8L 3s''' - A pair of undecatonic scales. These scales are unnamed as of writing; these are children of 3L 5s. | ## '''3L 8s''' and '''8L 3s''' - A pair of undecatonic scales. These scales are unnamed as of writing; these are children of 3L 5s. | ||
## '''5L 8s''' and '''8L 5s'''. A pair of tridecatonic scales. These scales are unnamed as of writing; these are children of 5L 3s. | ## '''5L 8s''' and '''8L 5s'''. A pair of tridecatonic scales. These scales are unnamed as of writing; these are children of 5L 3s. | ||
[[File:Family_Tree_of_MOS-MV2_Scales.svg|alt=|1500x1500px]] | |||
[[File:Family | === Including Multi-period MOSses === | ||
By including multi-period MOSses, the family tree's similarity to the Stern-Brocot tree becomes more apparent. | |||
[[File:Family tree of mv2 scales with multi period scales.svg|frameless|1500x1500px]] | |||