So The band I'm playing are all extremely experienced musicians. Last night during rehearsal, last minute, they switched a song from F to E. I managed (fairly) but I was thrown off because I've practiced the song in F for a while.
Are there any tips for transposing in the fly?
*Disclaimer* I'm young, I jus wanna learn
As far as the Western Music System...................
What is a scale? A scale is a sequence of musical tones arranged from the lowest tone to the highest, a pattern. Each position in the sequence can be called a scale degree. Transposing from one scale to the next involve correlating scale degrees. If two scales have different number of scale degrees then transposing can be arbitrary or maybe not even possible.
The Major scale tone pattern is Root, Whole Tone, Whole Tone, Half Tone, Whole Tone, Whole Tone, Whole Tone, Half Tone. This is the definition of every single major scale. It has 7 degrees because it has 7 tones. The semi-tone pattern of any Major scale is 0, 2, 4, 5, 7, 9, 11, 12. Semi-tone pattern follows from the tone pattern because a Half Tone is a semi-tone and a Whole tone is 2 semi-tones. The interval pattern of any Major scale is Unison, M2, M3, P4, P5, M6, M7, Octave which also corresponds to semi-tones and tones. The triad chord pattern of any Major scale is I, ii, iii, IV, V, vi, vii(dim). As far as I know, the chord pattern does not derive from the scale tone, semi-tone, or interval patterns. It has to be found by trial and error while conforming to the scale pattern.
Let's compare Major (also called Ionian) to Lydian. Lydian is the 4th mode of Major. It's the Major pattern shifted 3 positions to the left so it has 7 scale degrees too. The Lydian tone pattern is Root, WT, WT, WT, HT, WT, WT, HT. The chords are also shifted. So we go from I, ii, iii, IV, V vi, vii(dim) in Major to to I, II, iii, iv(dim), V, vi, vii in Lydian. The semi-tone pattern is shifted from 0, 2, 4, 5, 7, 9, 11, 12 in Major to 0, 2, 4, 6, 7, 9, 11, 12 in Lydian. The interval pattern is shifted from Unison, M2, M3, P4, P5, M6, M7, Octave in Major to Unison, M2, M3, A4/D5, P5, M6, M7, Octave in Lydian. They both have 7 scale degrees so transposing is a matter of matching scale degrees.
The note pattern of a scale is derived from the tone and semi-tone pattern.
The note pattern of A Major is A, B, Db, D, E, Gb, Ab, A. The note pattern in A Lydian is A, B, Db, Eb, E, Gb, Ab, A. The chords of A major are Amaj, Bmin, Dbmin, Dmaj, Emaj, Gbmin, Abdim. The chords of A Lydian are Amaj, Bmaj, Dbmin, Ebdim, Emaj, Gbmin, Abmin.
Let's say your song is in A major and has a I, IV, V chord progression. The chords would be Amaj, DMaj, Emaj.
To transposed from A Major to C Major you would use the same Major pattern but shift the song 3 semi-tones up or 9 semi-tones down because that is the number of semi-tones from A to C. Your chord progression in C would be Cmaj, Fmaj, Gmaj. The melody would change in the same way, 3 semi-tones up or 9 semi-tones down keeping the same pattern. On any guitar type instrument, every fret is one semi-tone. So transposing within the same scale is easy. You just pitch shift the entire song up or down a bunch of frets.
Transposed to A Lydian the chord progression would be Amaj, Ebdim, Emaj. Since the patterns are different you can't simply pitch shift the notes or tones. You have to match the scale degrees. The 4th scale degree in a Major scale is 5 semi-tones higher than the Root. The 4th scale degree in Lydian is 6 semi-tones higher than the root. So we transpose D in A major to Eb in A Lydian, E in A# Lydian, F in B Lydian, F# in C Lydian, G in C# Lydian, etc.
What about chromatics? Since chromatics do not correspond to scale degrees, they have to correspond to the Root. So let's say your song in A major has an A#. That's one semi-tone away from the Root. So in C major that would be C#. In A Lydian that would be A#. Etc.
What if you transpose an A Major song with a chromatic A# and a B to A Locrian? The tone pattern for Locrian is Root, Half Tone, Whole Tone, Whole Tone, Half tone, Whole Tone, Whole Tone, Whole Tone. B is the second scale degree of A Major so it would transpose to Bb in A Locrian. But what do you do with the A# since transposing it relative to the Root in his case makes it overlap with the second scale degree? I see no other choice but to transpose it relative to the Root. This would create a problem if trying to transpose back to Major from Locrian because it's not possible to tell which Bb were chromatic in A major and which ones were transposed from A Major. But, oh well, poopie happens.
What about transposing to the Acoustic scale? You would have to work out which chords are in the Acoustic Scale. I did that a while ago. I started a note book with the intention of finding all the chords in all these scales:
List of musical scales and modes - Wikipedia . Many of the scale degrees in the Acoustic Scale have more than one chord. So you would have to make some choices. I would transpose each chord one note at a time the same way I'd transpose the melody.
So, transposing on the fly comes down to how well you know the scales, how fast the song is, and how few chromatics the song has.
Reddit has a good Music Theory section. Also, wikipedia has the basics scattered across many pages.