6ed7/3: Difference between revisions
Created page with "{{Infobox ET}}{{ED intro}} == Theory == === Harmonics === {{Harmonics in equal|6|7|3|intervals=integer|columns=11}} {{Harmonics in equal|6|7|3|intervals=integer|collapsed=1|start=12|columns=12}} == 6ed7/3+7edo scale == On the Xenharmonic Alliance Discord in September 2025, Maeve Gutierrez noted that the notes of 3ed7/3 make for a nice chord when played simultaneously, and that 6ed7/3 is a good tuning for using said chord. Gutierrez also noted that playing..." |
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{{Harmonics in equal|6|7|3|intervals=integer|columns=11}} | {{Harmonics in equal|6|7|3|intervals=integer|columns=11}} | ||
{{Harmonics in equal|6|7|3|intervals=integer|collapsed=1|start=12|columns=12}} | {{Harmonics in equal|6|7|3|intervals=integer|collapsed=1|start=12|columns=12}} | ||
== Intervals == | |||
{{Interval table}} | |||
== 6ed7/3+7edo scale == | == 6ed7/3+7edo scale == | ||
| Line 16: | Line 19: | ||
Within 49edo: | Within 49edo: | ||
* 6ed7/3 is the step pattern 10 10 10... | |||
* 7edo is the step pattern 7 7 7... | |||
Which means that both scales sync up every 70 steps of 49edo, at the interval 1714.286c. | Which means that both scales sync up every 70 steps of 49edo, at the interval 1714.286c. | ||
| Line 38: | Line 41: | ||
* 70\49 (period) | * 70\49 (period) | ||
=== Lumatone mappings == | === Lumatone mappings === | ||
Mapping the 6ed7/3+7edo scale onto a 2D [[ | Mapping the 6ed7/3+7edo scale onto a 2D [[isomorphic keyboard]] like the [[Lumatone]], one can use 7\49 for the x-steps and 10\49 for the y-steps or vice versa. | ||
; 6ed7/3 on the x-steps | ; 6ed7/3 on the x-steps | ||
{{Lumatone EDO mapping|n=49|start=0|xstep=10|ystep=7}} | |||
; 6ed7/3 on the x-steps (alt.) | |||
{{Lumatone EDO mapping|n=49|start=0|xstep=10|ystep=-7}} | {{Lumatone EDO mapping|n=49|start=0|xstep=10|ystep=-7}} | ||
; 6ed7/3 on the y-steps | ; 6ed7/3 on the y-steps | ||
{{Lumatone EDO mapping|n=49|start=0|xstep=7|ystep=10}} | |||
; 6ed7/3 on the y-steps (alt.) | |||
{{Lumatone EDO mapping|n=49|start=0|xstep=7|ystep=-10}} | {{Lumatone EDO mapping|n=49|start=0|xstep=7|ystep=-10}} | ||
== See also == | |||
* [[9ed7/3]] | |||