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Show HN: Guitar Dashboard – Open source music theory explorer for guitarists

guitardashboard.com

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Re: Show HN: Guitar Dashboard – Open source music theory explorer for guitarists

#92

Just a heads up that I also blogged about the making of Guitar Dashboard: http://mikehadlow.blogspot.com/2018/09/what-i-learned-creati...

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 rang…

Each doubling of frequencies is divided into twelve somewhat evenly-spaced semitones. If you go up seven out of twelve (using index 0 for your initial frequency), that's essentially half way to the doubling of the frequency with a ratio of 3:2. E.g., if your starting frequency is 440, going up seven steps will give you a note with a frequency of 660.

Another way of dividing up the space between a frequency and it's doubling uses eight of the twelve semi-tone divisions . The eight notes form an 'OCTive'. The octive has a 1-based index for the starting frequency. You can see seven out of twelve highlighted notes in the dashboard circles . The eighth note has the same name as the first one as you complete the circle but it would either be double or half the frequency. Going up seven semi-tones using the twelve division 'chromatic' scale is the same as going up five steps in the more selective eight note octive scale.

Yes, the circle continues from 2n4n and 4n8n and n/2n and n/4n/8 etc. The boundaries are those of human hearing from about 20hz to 20khz.

The white keys on a piano are the key of C Major. The black keys are the 'accidental' notes--the five notes of the twelve division chromatic scale that are discarded when selecting the notes for the eight (7 + the 1st/8th note that is counted twice to complete the circle) note octive.

Re: Show HN: Guitar Dashboard – Open source music theory explorer for guitarists

#93
post #91

Oh my g o s h, it works with all my crazy custom FF privacy config stuff, this is awesome! I've never heard of "N Minor" and searching doesn't bring up anything. Is that a mistake?

Natural minor scale as opposed to harmonic or melodic.

https://en.wikipedia.org/wiki/Minor_scale

Re: Show HN: Guitar Dashboard – Open source music theory explorer for guitarists

#95
This is great! I'm not actually sure how prominent the CAGED sequence is in guitarist circles, but I was thinking it might be helpful to indicate the chord shapes.

Hope you can continue hosting it - I might use this to practice my scale visualization.

Re: Show HN: Guitar Dashboard – Open source music theory explorer for guitarists

#96

Earlier quoted context omitted.

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 rang…

Each doubling of frequencies is divided into twelve somewhat evenly-spaced semitones. If you go up seven out of twelve (using index 0 for your initial frequency), that's essentially half way to the doubling of the frequency with a ratio of 3:2. E.g., if your starting frequency is 440, going up seven steps will give you a note with a frequency of 660. Another way of dividing up the space between a frequency and it's d…

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!

Re: Show HN: Guitar Dashboard – Open source music theory explorer for guitarists

#97

Just a heads up that I also blogged about the making of Guitar Dashboard: http://mikehadlow.blogspot.com/2018/09/what-i-learned-creati...

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 rang…

> jump down one 7-semitone step and up 5

A (440 Hz), down to D. A, up to E, up to B, up to F#, up to C#, up to G#.

Sort: A B C# D E F# G#. This is the A major scale.

Re: Show HN: Guitar Dashboard – Open source music theory explorer for guitarists

#98

Just a heads up that I also blogged about the making of Guitar Dashboard: http://mikehadlow.blogspot.com/2018/09/what-i-learned-creati...

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 rang…

> when making chords

Even nonmusical people can almost always tell that, for example, 110 Hz, 220 Hz, 440 Hz, 880 Hz etc. sound like the same note.

So if you take an A major chord:

    A (220.00 Hz), C# (277.18 Hz), E (329.63 Hz)
and then switch to

    C# (277.18 Hz), E (329.63 Hz), A (440.00 Hz)
or also

    E (329.63 Hz), A (440.00 Hz), C# (554.37 Hz)
and also something like

    A (110.00 Hz), A (220.00 Hx), E (329.63 Hz), A (440.00 Hz), C# (554.37 Hz)
it makes pretty much no difference. People will hear and feel it as the same chord, the same notes, the same musical meaning.

There are some nuances in color, especially about which note is the lowest. And other concerns, like at which frequency ranges the other instruments (or your other hand on a piano) are playing at the same time, and if you want to spread out to avoid the others, or make the frequencies more crowded to put more emphasis. And also purely mechanistic concerns, how you are able to reach the notes with your fingers, for example, on guitar fretboard or piano keyboard.

Re: Show HN: Guitar Dashboard – Open source music theory explorer for guitarists

#99

Just a heads up that I also blogged about the making of Guitar Dashboard: http://mikehadlow.blogspot.com/2018/09/what-i-learned-creati...

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 rang…

> why do pianos have different black and white keys?

The 7 white keys match the C major (same as A minor) scale: C D E F G A B (and C).

I don't know why the ancient musicians thought to make C major as kind of the default scale, but that's how we now tend to see it. You can start a scale from any of the 12 semitones, but piano, and some other instruments, and the traditional musical writing notation are build so that C major is the default, and the remaining 5 semitones (the piano black keys) are written as how they deviate from the default scale.

It's just tradition, I assume.

Re: Show HN: Guitar Dashboard – Open source music theory explorer for guitarists

#100

Earlier quoted context omitted.

Each doubling of frequencies is divided into twelve somewhat evenly-spaced semitones. If you go up seven out of twelve (using index 0 for your initial frequency), that's essentially half way to the doubling of the frequency with a ratio of 3:2. E.g., if your starting frequency is 440, going up seven steps will give you a note with a frequency of 660. Another way of dividing up the space between a frequency and it's d…

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 struct…

The music tradition sees the notes rather as intervals between two notes.

C to the same C is "unison" (You may need to instruments to play two identical C notes at the same time.)

C to C#/Db (this note has two names) is "small second"

C to D is "large second". And so on.

C to the next higher C is "perfect octave".

So if we take the C major scale, it has 7 different notes. But if we also include the next higher up C, you can pair the base C with 8 different notes, when we include pairing with itself, and pairing with the higher C. When you have two instruments playing, these are the pairings you can make when you play two notes at the same time.

https://en.wikipedia.org/wiki/Interval_(music)#Comparison

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