Sunday, March 19, 2023

Interval Exploration


Image courtesy of Dall.E 2

Now with more inversions!

Notice the patterns. For example, an SUS² interval is opposite to an ³⁾ interval.  



C Key                         

Inversions 

C,E - C Major 

E,B♯ - E+⁽³⁾

C,F - CSUS⁴

F,C - F⁵

C,G♭ - C⁽♭⁵,ⁿ³⁾

F♯,C - F♯⁽♭⁵,ⁿ³⁾

C,G - C⁵

G,C - GSUS⁴

C,G♯ - C+⁽³⁾

A♭,C - A♭ Major

C,A - C⁶³⁾

A,C - A

C,B♭ - C⁷³⁾

B♭,C - B♭SUS²

C,B - CΔ³⁾

B,C - B⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

C,C - Octave

Got the memo?

C,D♭ - C⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

D♭,C - D♭Δ³⁾

C,D - CSUS²

D,C - D⁷³⁾

C,E♭ - C

E♭,C - E♭⁶³⁾


G Key:                        

Inversions:

G,B - G Major

B,G - B+⁽³⁾

G,C - CSUS⁴

C,G - C⁵

G,D♭ - G⁽♭⁵,ⁿ³⁾

C♯,G - C♯⁽♭⁵,ⁿ³⁾

G,D - G⁵

D,G  - DSUS⁴

G,D♯ - G+⁽³⁾

E♭,G - E♭ Major

G,E - G⁶³⁾

E,G - E

G,F - G⁷³⁾

F,G - FSUS²

G,F♯ - GΔ³⁾

F♯,G - F♯⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

G,G - Octave 

Good Game!

G,A - GSUS²

A,G - A⁷³⁾

G,B♭ - G

B♭,G - B♭⁶


D Key:                      ♯♯

Inversions:

D,F♯ - D Major

F♯,D - F♯+⁽³⁾

D,G - DSUS⁴

G,D - G⁵

D,A♭ - D⁽♭⁵,ⁿ³⁾

A♭,D - A♭⁽♭⁵,ⁿ³⁾

D,A - D⁵

A,D - ASUS⁴

D,B♭ - D+⁽³⁾

B♭,D - B♭ Major

D,B - D⁶³⁾

B,D - B Minor

D,C - D⁷³⁾

C,D - CSUS²

D,C♯ - DΔ³⁾

C♯,D - C♯⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

D,D - Octave 


D,E♭ - D⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

E♭,D - E♭Δ³⁾

D,E - DSUS²

E,D - E⁷³⁾

D,F - D

F,D - F⁶


A Key                     ♯♯♯

Inversions 

A,C♯ - A Major

D♭,A - D♭+⁽³⁾

A,D - ASUS⁴

D,A - D⁵

A,E♭ - A⁽♭⁵,ⁿ³⁾

E♭,A - E♭⁽♭⁵,ⁿ³⁾

A,E - A⁵

E,A - ESUS⁴

A,F - A+⁽³⁾

F,A - F Major

A,F♯ - A⁶³⁾

F♯,A - F♯

A,G - G⁷³⁾

G,A - GSUS²

A,G♯ - AΔ³⁾

G♯,A - G♯⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

A,A - Octave


A,B♭ - A⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

B♭,A - B♭Δ³⁾

A,B - ASUS²

B,A - B⁷³⁾

A,C - A

C,A - C⁶


E Key                    ♯♯♯♯

Inversions 

E,G♯ - E Major

A♭,E - A♭+⁽³⁾

E,A - ESUS⁴

A,E - A⁵

E,B♭ - E⁽♭⁵,ⁿ³⁾

A♯,E - A♯⁽♭⁵,ⁿ³⁾

E,B - E⁵

B,E - BSUS⁴

E,C - E+⁽³⁾

C,E - C Major

E,C♯ - E⁶³⁾

C♯,E - C♯

E,D - E⁷³⁾

D,E - DSUS²

E,D♯ - EΔ³⁾

D♯,E - D♯⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

E,E - Octave


E,F - E⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

F,E - FΔ³⁾

E,F♯ - ESUS²

F♯,E - F♯⁷³⁾

E,G - E

G,E - G⁶³⁾


B Key                      ♯♯♯♯♯

Inversions 

B,D♯ - B Major

E♭,B - E♭+⁽³⁾

B,E - BSUS⁴

E,B - E⁵

B,F - B⁽♭⁵,ⁿ³⁾

F,B - F⁽♭⁵,ⁿ³⁾

B,F♯ - B⁵

F♯,B - F♯SUS⁴

B,G - B+⁽³⁾

G,B - G Major

B,G♯ - B⁶³⁾

A♭,B - A♭

B,A - B⁷³⁾

A,B - ASUS²

B,A♯ - BΔ³⁾

A♯,B - A♯⁽ᵃᵈᵈ ♭⁹⁾

B,B - Octave


B,C - B⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

C,B - CΔ³⁾

B,C♯ - BSUS²

C♯,B - C⁷³⁾

B,D - B

D,B - D⁶³⁾


F♯ Key                   ♯♯♯♯♯♯

Inversions 

F♯,A♯ - F♯ Major

B♭,F♯ - B♭+⁽³⁾

F♯,B - F♯SUS⁴

B,F♯ - B⁵

F♯,C - F♯⁽♭⁵,ⁿ³⁾

C,F♯ - C⁽♭⁵,ⁿ³⁾

F♯,C♯ - F♯⁵

C♯,F♯ - C♯SUS⁴

F♯,D - F♯+⁽³⁾

D,F♯ - D Major

F♯,D♯ - F♯⁶³⁾

E♭,G♭ - E♭

F♯,E - F♯⁷³⁾

E,F♯ - ESUS²

F♯,E♯ - F♯Δ³⁾

F,G♭ - F⁽ᵃᵈᵈ ♭⁹⁾

F♯,F♯ - Octave


F♯,G - F♯⁽ᵃᵈᵈ ♭⁹⁾

G,F♯ - GΔ³⁾

F♯,G♯ - F♯SUS²

G♯,F♯ - G♯⁷³⁾

F♯,A - F♯

A,F♯ - A⁶³⁾


D♭ Key                 ♭♭♭♭♭

Inversions 

D♭,F - D♭ Major

F,C♯ - F+⁽³⁾

D♭,G♭ - D♭SUS⁴

F♯,C♯ - F♯⁵

D♭,G - D♭⁽♭⁵,ⁿ³⁾

G,C♯ - G⁽♭⁵,ⁿ³⁾

D♭,A♭ - D♭⁵

A♭,D♭ - A♭SUS⁴

D♭,A - D♭+⁽³⁾

A,C♯ - A Major

D♭,B♭ - D♭⁶³⁾

B♭,D♭ - B♭

D♭,B - D♭⁷³⁾

B,C♯ - BSUS²

D♭,C - D♭Δ³⁾

C,D♭ - C⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

D♭,D♭ - Octave


D♭,E♭♭ - D♭⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

D,C♯ - DΔ³⁾

D♭,E♭ - D♭SUS²

E♭,D♭ - E♭⁷³⁾

D♭,F♭ - D♭

E,C♯ - E⁶³⁾


A♭ Key                   ♭♭♭♭

Inversions 

A♭,C - A♭ Major

C,G♯ - C+⁽³⁾

A♭,D♭ - A♭SUS⁴

D♭,A♭ - D♭⁵

A♭,D - A♭⁽♭⁵,ⁿ³⁾

D,A♭ - D⁽♭⁵,ⁿ³⁾

A♭,E♭ - A♭⁵

E♭,A♭ - E♭SUS⁴

A♭,E - A♭+⁽³⁾

E,G♯ - E Major

A♭,F - A♭⁶³⁾

F,A♭ - F

A♭,G♭ - A♭⁷³⁾

G♭,A♭ - G♭SUS²

A♭,G - A♭Δ³⁾

G,A♭ - G⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

A♭,A♭ - Octave


A♭,B♭♭ - A♭⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

A,G♯ - AΔ³⁾

A♭,B♭ - A♭SUS²

B♭,A♭ - B♭⁷³⁾

A♭,C♭ - A♭

B,G♯ - B⁶³⁾


E♭ Key                     ♭♭♭

Inversions 

E♭,G - E♭ Major

G,D♯ - G+⁽³⁾

E♭,A♭ - E♭SUS⁴

A♭,E♭ - A♭⁵

E♭,A - E♭⁽♭⁵,ⁿ³⁾

A,E♭ - A⁽♭⁵,ⁿ³⁾

E♭,B♭ - E♭⁵

B♭,E♭ - B♭SUS⁴

E♭,B - E♭+⁽³⁾

B,D♯ - B Major

E♭,C - E♭⁶³⁾

C,E♭ - C

E♭,D♭ - E♭⁷³⁾

D♭,E♭ - D♭SUS²

E♭,D - E♭Δ³⁾

D,E♭ - D⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

E♭,E♭ Octave


E♭,F♭ - E♭⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

E,D♯ - EΔ³⁾

E♭,F - E♭SUS²

F,E♭ - F⁷³⁾

E♭,G♭ - E♭

G♭,E♭ - G♭⁶³⁾


B♭ Key                      ♭♭

Inverse

B♭,D - B♭ Major

D,A♯ - D+⁽³⁾

B♭,E♭ - BSUS⁴

E♭,B♭ - E♭⁵

B♭,F♭ - B♭⁽♭⁵,ⁿ³⁾

E,B♭ - E⁽♭⁵,ⁿ³⁾

B♭,F - B♭⁵

F,B♭ - FSUS⁴

B♭,F♯ - B♭+⁽³⁾

F♯,A♯ - F♯ Major

B♭,G - B♭⁶³⁾

G,B♭ - G

B♭,A♭ - B♭⁷³⁾

A♭,B♭ - A♭SUS²

B♭,A - B♭Δ³⁾

A,B♭ - A,B♭⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

B♭,B♭ - Octave


B♭,C♭ - B♭⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

B,A♯ - BΔ³⁾

B♭,C - B♭SUS²

C,B♭ - C⁷³⁾

B♭,D♭ - B♭

D♭,B♭ - D♭⁶³⁾


F Key                          

Inversions 

F,A - F Major

A,F - A+⁽³⁾

F,B♭ - FSUS⁴

B♭,F - B♭⁵

F,B - F⁽♭⁵,ⁿ³⁾

B,F - B⁽♭⁵,ⁿ³⁾

F,C - F⁵

C,F - CSUS⁴

F,D♭ - F+⁽³⁾

D♭,F - D♭ Major

F,D - F⁶³⁾

D,F - D

F,E♭ - F⁷³⁾

E♭,F - E♭SUS²

F,E - FΔ³⁾

E,F - E⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

F,F - Octave


F,G♭ - F⁽ᵃᵈᵈ ♭⁹,ⁿ³⁾

G♭,F - G♭Δ³⁾

F,G - FSUS²

G,F - G⁷³⁾

F,A♭ - F

A♭,F - A♭⁶³⁾



Tiny Musical Text: 

Δ  

Δ⁷

Δ⁹

Δ⁷

⁷⁽♭⁹⁾

⁷⁽♭¹³⁾

♯♯

♭♭ 

°

°⁷

ø

+

♭⁶

♭⁶⁾

♯⁵

♯⁵⁾

♭⁵

⁽♭⁵⁾

♭⁹

⁽♭⁹⁾

ᵃᵈᵈ ♭⁹

ᵃᵈᵈ ♭⁹⁾

⁹⁾

ᵃᵈᵈ ⁹

ᵃᵈᵈ ⁹⁾

♯⁹

♯⁹⁾

ᵃᵈᵈ ♯⁹

ᵃᵈᵈ ♯⁹⁾

¹¹

♯¹¹

♯¹¹⁾

ᵃᵈᵈ ¹¹

ᵃᵈᵈ ¹¹⁾

ᵃᵈᵈ ♯¹¹

ᵃᵈᵈ ♯¹¹⁾

♭¹³

⁽♭¹³⁾

¹³

⁽¹³⁾

SUS²

SUS⁴

³

³⁾

ᵃᵈᵈ

⁶/⁹

⁶/¹¹

⁶/♯⁹

♭⁶/

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