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Fig. 1 · A# diminished (whole–half) · first 12 frets

guitar scale

A♯ diminished (whole–half)

A♯1B♯2C♯♭3D♯4E♭5F♯♭6F𝄪6G𝄪7

Eight notes alternating whole step and half step. Symmetrical, so it repeats every minor third.

The same sounds spelled from the other side are B♭ diminished (whole–half).

on ukuleleon piano

Written out

Fig. 2 · A# diminished (whole–half), ascending

Every accidental is written in, rather than left to a key signature, so the letters can be read one at a time.

The step pattern

A♯WB♯HC♯WD♯HEWF♯HF𝄪WG𝄪HA♯

What is true of it

A♯ diminished (whole–half) is A♯, B♯, C♯, D♯, E, F♯, F𝄪 and G𝄪, and back to A♯.

Its steps are W – H – W – H – W – H – W – H, where W is a whole step and H a half.

Written correctly it needs 9 alterations, F𝄪 and G𝄪 among them. That is what the letters force, and it is also why nobody writes music in this key: the same notes spelled from the other side are easier to read.

Across the first twelve frets of the guitar its notes fall in 52 places, which is what makes a scale a shape rather than a list.

Chords made only of these notes

C♯dimdiminishedD♯majorD♯mminorD♯dimdiminishedD♯7dominant seventhD♯m7minor seventhD♯m7♭5half-diminished seventhEdimdiminished

Found by testing every chord in the catalogue against these 8 sounds, not chosen.

Other scales on A♯

A♯ whole tonesymmetricA♯ diminished (half–whole)symmetricA♯ majormajorA♯ natural minorminorA♯ harmonic minorminor

C dim W-HC♯ dim W-HD♭ dim W-HD dim W-HD♯ dim W-HE♭ dim W-HE dim W-HF dim W-Hall 374