blockchaincloud

If I can wear out my welcome,

I can see the construction from D onwards - jumps of 7, but how did you get to D? The instruction was 7)semi tones down, which from A is D "in previous scale"), but what about the 5 semi tones up?

One new question that popped in my mind- is this series of instructions (7down, 5up) a reverse engineering of the A major sequence to fit the 7- jump rule or is there some theory about it? I have no clue what different scales even mean or what major and minor means. Feel free to ignore the new questions (or the old one!)

Thank you, that was a detailed answer that gave me a lot of new things and I have a new question and some old questions-

You are saying there are 8 notes in an octave, but we only selected 7 notes after selecting 7th semi tone 7 times. I think you said the 8 note is 2x the original. Is that correct understanding?

So I got the point about 2^(1/12), what I didn't get is the staring point for A major and the jump structure. I thought all jumps are selecting 7th semi tone. So what is meant by "jump down one 7-semitone step and up 5"?

You partially answered my second question I think- saying that for chords it's okay to go from n <-> 2n scale to 2n <-> 4n scale. My question is for non chord music is this a common occurrence?

Thank you again!

Can you explain what you mean by this-

> If you choose the frequency 440hz, jump down one 7-semitone step and up 5, you have an A major scale

Also I have one more question about - when making chords using the 3rd and 5th step, for a note on the right boundary of this n <-> 2n interval, I would jump into 2n <-> 4n interval, right? But I'd I were not using chords then is "all" (simplified) music made in only only one x <-> 2x range and it's not crossed?

Another question- why do pianos have different black and white keys? Do you plan on doing a blog post that explains how "your " explanation of music theory fits various instruments? I've always wanted to understand music from a mathematical perspective and your post was eye opening!

I am going to try out your tool once I get hold of a computer.