Daily Archives: May 27, 2014


WWHWWWHWWHWWWH is one of two formulae I need to keep in mind when working through my scales on the ukulele and guitar. The other is 2122122.

I see the musicians among you already recognize what these mean. I still need to have these written on a sticky note so I will remember when I practice.

WWHWWWH means: Whole step – whole step – half step – whole step – whole step – whole step – half step. It’s how you calculate notes in any major scale, (or diatonic scale as it is also known, and just to confuse things, it is also the Ionian mode… but the seven notes are also called the  heptatonic scale…) counting from the root or tonic note.

This is stuff I’m learning about scales as I study music theory. It’s sometimes a bit like wading through intellectual molasses. Confusing, but I persevere. And I hope I get it correct, because I’m designing the chord-construction wheel I wrote about in a previous post.

Steps are also known as tones (T) and half-steps as semitones (S). Sometimes the formula shown in the headline is written as: TTSTTTS.

You may know these as the notes in Do-Re-Mi-Fa-So-La-Ti-Do, something you probably learned in elementary school. That’s all the notes in one scale in a single octave, going from the root or tonic (Do) all the way to the next time that note appears (the second Do, an octave higher – technically defined as at twice the frequency of the lower note of the same name.)*

An octave contains eight notes – the entire Do-Re-Mi… Do series noted above.

For players of stringed instruments like guitar and ukulele, this WWHWWWH formula means: starting from the root, play the next note 2 frets higher, then 2 frets more, 1 fret, 2 frets, 2 frets, 2 frets, then 1 fret.

Pianists know a half-step as a single key. For these instruments there are 12 half steps (frets or piano keys) in an octave. These 12 notes or pitches are also called a chromatic scale, but only eight of those notes are in a major scale.

In the key of C, this formula translates to seven notes: C-D-E-F-G-A-B numbered one through seven. The next note – the eighth – would be, of course, C one octave higher. Counting the frets on the third (C) ukulele string, a major scale in C would be frets 0-2-4-5-7-9-11-12.

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