# A-double-sharp natural minor scale

The Solution below shows the A## minor scale notes, intervals and scale degrees on the piano, treble clef and bass clef.

The Lesson steps then explain how to identify the A-double-sharp minor scale note interval positions, choose the note names, and scale degree names.

For a quick summary of this topic, have a look at Natural minor scale.

All Keys On 1 page

## Solution - 2 parts

### 1. A-double-sharp natural minor scale

This step shows the ascending A-double-sharp natural minor scale on the piano, treble clef and bass clef. It also shows the scale degree names for all 8 notes.

The A-double-sharp natural minor scale has 7 double-sharps.

Warning: The A-double-sharp key is a theoretical minor scale key.

This means:

> Its key signature would contain either double-sharps or double flats.

> It is rarely used in practice, because it is too complex to use.

> It is not on the Circle of fifths diagram, which contains the most commonly used keys.

> There is always an identical minor scale that you can use in its place, which is on the Circle of 5ths.

> The B natural minor scale sounds the same / contains the same note pitches, which are played in the same order (the scales are enharmonic), so it can be used as a direct replacement for the A-double-sharp minor scale.

A-double-sharp natural minor scale note names
Note no.Note intervalNote name
1tonicThe 1st note of the A-double-sharp natural minor scale is A##
2A##-maj-2ndThe 2nd note of the A-double-sharp natural minor scale is B##
3A##-min-3rdThe 3rd note of the A-double-sharp natural minor scale is C##
4A##-perf-4thThe 4th note of the A-double-sharp natural minor scale is D##
5A##-perf-5thThe 5th note of the A-double-sharp natural minor scale is E##
6A##-min-6thThe 6th note of the A-double-sharp natural minor scale is F##
7A##-min-7thThe 7th note of the A-double-sharp natural minor scale is G##
8A##-perf-8thThe 8th note of the A-double-sharp natural minor scale is A##

Middle C (midi note 60) is shown with an orange line under the 2nd note on the piano diagram.

These note names are shown below on the treble clef followed by the bass clef.

The stave diagrams above show the scale notes without a key signature, with the sharp / flat adjustments inserted before each note on the staff.

For the key signature of this scale, showing these symbols grouped correctly next to the bass or treble clef symbol at the beginning, have a look at the A## natural minor key signature.

A-double-sharp natural minor scale degrees
Note no.Degree name
1A## is the tonic of the A-double-sharp natural minor scale
2B## is the supertonic of the A-double-sharp natural minor scale
3C## is the mediant of the A-double-sharp natural minor scale
4D## is the subdominant of the A-double-sharp natural minor scale
5E## is the dominant of the A-double-sharp natural minor scale
6F## is the submediant of the A-double-sharp natural minor scale
7G## is the subtonic of the A-double-sharp natural minor scale
8A## is the octave of the A-double-sharp natural minor scale

The difference between the A-double-sharp natural minor scale and the A## major scale is that the 3rd, 6th and 7th note positions of the major scale are lowered by one half-tone / semitone.

So whereas the A## major scale has notes C###, F###, G### for the 3rd, 6th and 7th notes, these notes are lowered to arrive at notes C##, F##, G## for this natural minor scale.

### 2. A-double-sharp natural minor scale descending

This step shows the descending A-double-sharp natural minor scale on the piano, treble clef and bass clef.

 No. Note 1 2 3 4 5 6 7 G## F## E## D## C## B## A##

## Lesson steps

### 1. Piano key note names

This step shows the white and black note names on a piano keyboard so that the note names are familiar for later steps, and to show that the note names start repeating themselves after 12 notes.

The white keys are named using the alphabetic letters A, B, C, D, E, F, and G, which is a pattern that repeats up the piano keyboard.

Every white or black key could have a flat(b) or sharp(#) accidental name, depending on how that note is used. In a later step, if sharp or flat notes are used, the exact accidental names will be chosen.

The audio files below play every note shown on the piano above, so middle C (marked with an orange line at the bottom) is the 2nd note heard.

### 2. A-double-sharp tonic note and one octave of notes

This step shows an octave of notes in the key of A##, to identify the start and end notes of the scale.

The numbered notes are those that might be used when building this note scale.

But since this is a scale in the key of A##, it is certain that notes 1 and 13 will be used in the scale.

Note 1 is the tonic note - the starting note - A##, and note 13 is the same note name but one octave higher.

 No. Note 1 2 3 4 5 6 7 8 9 10 11 12 13 A## C C# / Db D D# / Eb E F F# / Gb G G# / Ab A A# / Bb A##

### 3. A-double-sharp natural minor scale note interval positions

This step applies the minor scale note interval pattern starting from A-double-sharp, so that the correct piano keys and note pitches can be identified.

The natural minor scale uses the  W-H-W-W-H-W-W  note counting rule to identify the scale note positions.

To count up a Whole tone, count up by two physical piano keys, either white or black.

To count up a Half-tone (semitone), count up from the last note up by one physical piano key, either white or black.

The tonic note (shown as *) is the starting point and is always the 1st note in the natural minor scale.

Again, the final 8th note is the octave note, having the same name as the tonic note.
 No. Note 1 2 3 4 5 6 7 8 A## C# / Db D E F# / Gb G A A##

What is the difference between the A-double-sharp natural minor scale and the A## major scale ?

The 3rd, 6th and 7th note positions (or scale degrees) of the major scale are lowered by one half-tone / semitone to arrive at the minor scale note positions shown above.

### 4. A-double-sharp natural minor scale notes

This step tries to assign note names to the piano keys identified in the previous step, so that they can be written on a note staff in the Solution section.

The 7 unique notes in a scale need to be named such that each letter from A to G is used once only, so each note name is either a natural white name(A.. G) , a sharp(eg. F#) or a flat(eg. Gb).

This is needed to ensure that when it comes to writing the scale notes on a musical staff (eg. a bass or treble clef), there is no possibility of having 2 G-type notes, for example, with one of the notes needing an accidental next to it on the staff (a sharp, flat or natural symbol).

To apply this rule, firstly list the white key names starting from the tonic, which are shown the White column below.

Then list the 7 notes in the scale so far, shown in the next column.

For each of the 7 notes, look across and try to find the White note name in the Scale note name.

If the natural white note can be found in the scale note, the scale note is written in the Match? column.

The 8th note - the octave note, will have the same name as the first note, the tonic note.

A-double-sharp minor scale with mismatches
No.WhiteScale noteMatch?
1AA##A##
2BC# / Dbm
3CDm
4DEm
5EF# / Gbm
6FGm
7GAm
8AA##A##

For this scale, there are 6 mismatches (Shown as m in the Match? column), whose note names will need to be adjusted in the next step.

### 5. Make the A-double-sharp note name adjustments

This step shows how to make the note name adjustments so that each note letter A to G is used once only in the scale.

The adjustment explanation below needs to be applied to every mismatch m in the above table. The first mismatch is used as an example.

The match fails when trying to find a B -type of scale note, because either this type of note does not exist in this scale, or it exists but is in the wrong position number / table row for this match.

But music theory rules allow the name of any note to be sharpened or flattened, even white note names, so since a B-type of note name is needed, the real scale note C will be renamed to B##.

Of course, even though the note is named B##, when it comes to playing the note on an instrument, the real note C is really played.

The adjustments done in this step do not change the pitch / sound of the note, only the name of the note.

After doing the adjustments to all mistmatches, all letters A..G will have been used for this minor scale, and no rules have been broken.

Note that sometimes it is necessary to adjust the note name two half-tones / semitones forward or back, which will result in an adjusted name containing a double-sharp or double-flat.

 No. Note 1 2 3 4 5 6 7 8 A## B## C## D## E## F## G## A##

### 6. A-double-sharp natural minor scale descending

This step shows the notes when descending the A-double-sharp minor scale, going from the highest note sound back to the starting note.

For natural minor scales, the notes names when descending are just the reverse of the ascending names.

So assuming octave note 8 has been played in the step above, the notes now descend back to the tonic.

 No. Note 1 2 3 4 5 6 7 G## F## E## D## C## B## A##

### 7. A-double-sharp natural minor scale degrees

This step shows the A-double-sharp natural minor scale degrees - tonic, supertonic, mediant, subdominant, dominant, submediant, subtonic, and tonic.
In music theory, each note in this scale has what is called a scale degree name, which describes the relationship of that note to the tonic(1st) note.

Scale degree names 1,2,3,4,5,6, and 8 below are always the same for all major and minor scales (ie. 1st note is always tonic, 2nd is supertonic etc.) , but obviously the note names will be different for each scale / key combination.

In the natural minor scale, the 7th note is called the subtonic, and it has a whole tone (two half-tones / semitones, two notes on the piano keyboard) between the 7th and 8th notes in the scale.

In contrast, the A## major scale has only one half-tone / semitone separating the 7th and 8th notes, and in this case the seventh note is called the leading note or leading tone, as the 7th note feels like it wants to resolve and finish at the octave note, when all major scale notes are played in sequence.

Both the A## harmonic minor scale and A## melodic minor scale scales share the same property - having a leading tone, with the major scale.

A-double-sharp natural minor scale degrees
Note no.Degree name
1A## is the tonic of the A-double-sharp natural minor scale
2B## is the supertonic of the A-double-sharp natural minor scale
3C## is the mediant of the A-double-sharp natural minor scale
4D## is the subdominant of the A-double-sharp natural minor scale
5E## is the dominant of the A-double-sharp natural minor scale
6F## is the submediant of the A-double-sharp natural minor scale
7G## is the subtonic of the A-double-sharp natural minor scale
8A## is the octave of the A-double-sharp natural minor scale