Cannot find Non-Octave Equal-Temperament Scale Creation Ability

[RicardoMadGello]

This is my pet project for a few decades, but slow at it.

50Hz & 60Hz have always fascinated me, so I figure making an Equal-Temperament Scale with those two would be fun to play in.

60/50^1/2 [SQRT(60/50)] would be the microtonal interval going up the scale 50/60^1/2 [SQRT(50/60)] going down the scale

I see only Octave-Based under Equal-Temperament.

Can you add a way to pick two frequencies (50Hz & 60Hz in my personal Octave 1), then calculate the interval between them (54.77226Hz), to create the 1D scale horizontally, then Octavate this 1D non-octave-based equal-temperament scale to 2D with PrevLowerOctave*2 vertically up & PrevUpperOctave/2 vertically down the page for the full map?

Any way to add this sort of non-octave equal-temperament that has been Octavated like so?

I choose 50Hz & 60Hz for obvious reasons, but other folks may need to use their own pair of Bass/Base Tone/Frequency/Note Pair.

Calculating out to 64-significant digit math precision would be great for my art project that spins-off from this as well, but 3-digits I guess everyone says is fine for music.

Thanks!

[SeanArchibald]

It's already possible - see screenshot attached

https://sevish.com/scaleworkshop/?name=2%20equal%20divisions%20of%2060%2F50&data=157.82064350027628%0A315.64128700055255&freq=50&midi=48&vert=5&horiz=1&colors=white%20black%20white%20white%20black%20white%20black%20white%20white%20black%20white%20black&waveform=triangle&ampenv=organ

Have fun!

S

On 07/02/2021 10:59 RicardoMadGello <notifications@github.com> wrote:

This is my pet project for a few decades, but slow at it. 50Hz & 60Hz have always fascinated me, so I figure making an Equal-Temperament Scale with those two would be fun to play in. 60/50^1/2 [SQRT(60/50)] would be the microtonal interval going up the scale50/60^1/2 [SQRT(50/60)] going down the scale I see only Octave-Based under Equal-Temperament. Can you add a way to pick two frequencies (50Hz & 60Hz in my personal Octave 1), then calculate the interval between them (54.77226Hz), to create the 1D scale horizontally, then Octavate this 1D non-octave-based equal-temperament scale to 2D with NextLowerNote*2 vertically up & NextUpperNote/2 vertically down the page for the full map? Anyway to add this sort of non-octave equal-temperament that has been Octavated like so? I choose 50Hz & 60Hz for obvious reasons, but other folks may need to use their own pair of Bass Note. Thanks! —You are receiving this because you are subscribed to this thread.Reply to this email directly, view it on GitHub, or unsubscribe.

[vsicurella]

For a little more context, here's how to do that yourself - open Equal Temperament, change "Interval to Divide" (2/1) into 60/50, choose 2 as Number of Divisions, and press OK.

Side note - 60 / 50 can be reduced to 6/5, which is a 5-limit just intonation minor third, so you can think your scale as a minor third split in half. Since every other note will be a fully-diminished chord (well, some sort of diminished at least!), it will kinda be like a octatonic whole/half step scale, except they're actually equal steps.

[RicardoMadGello]

Sweet!Thanks!be safeOn Feb 9, 2021 9:34 AM, Vincenzo Sicurella notifications@github.com wrote: For a little more context, here's how to do that yourself - open Equal Temperament, change "Interval to Divide" (2/1) into 60/50, choose 2 as Number of Divisions, and press OK. Side note - 60 / 50 can be reduced to 6/5, which is a 5-limit just intonation minor third, so you can think your scale as a minor third split in half. Since every other note will be a fully-diminished chord (well, some sort of diminished at least!), it will kinda be like a octatonic whole/half step scale, except they're actually equal steps.

—You are receiving this because you authored the thread.Reply to this email directly, view it on GitHub, or unsubscribe.

[RicardoMadGello]

more study now.thanksOn Feb 9, 2021 9:34 AM, Vincenzo Sicurella notifications@github.com wrote: For a little more context, here's how to do that yourself - open Equal Temperament, change "Interval to Divide" (2/1) into 60/50, choose 2 as Number of Divisions, and press OK. Side note - 60 / 50 can be reduced to 6/5, which is a 5-limit just intonation minor third, so you can think your scale as a minor third split in half. Since every other note will be a fully-diminished chord (well, some sort of diminished at least!), it will kinda be like a octatonic whole/half step scale, except they're actually equal steps.

—You are receiving this because you authored the thread.Reply to this email directly, view it on GitHub, or unsubscribe.