User:Ganaram inukshuk/Diagrams: Difference between revisions
17edo rectangular horogram picture added |
m Found that Erv Wilson described the mos family tree so I linked to the relevant source. |
||
| Line 5: | Line 5: | ||
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. | ||
Update (2022-07-28): This type of diagram was already by described by Erv Wilson, with connections to Fibonacci's "rabbit sequence". http://anaphoria.com/RabbitSequence.pdf | |||
=== Single-period MOSses only === | === Single-period MOSses only === | ||