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Basics.

The names and numbers of the five fingers. Abbreviations. Fingering. Marking alternative fingerings in the music. 
The Five-Finger Position.

Pentascales (five-note scales). Intervals. Triads. Suspension triads. Which finger starts a passage or a phrase.                                                             
Traditional Scale Fingerings.

The two groups of fingers. Thumb crossing. C major fingering. The general rule. F♯ minor and C♯ minor. G♯ minor. Summary of traditional scale fingerings. Additional ways of remembering fingerings for some scales.                             
Graduating from the Five-Finger Position.

Expanding the five-finger position. Condensing the five-finger position. 
Chords and Arpeggios.

Triad chords and inversions. Four-note triad chords – root position. Four-note triad chords – inversions. Triad arpeggios and inversions. 7th chords and inversions. 7th arpeggios and inversions. Hand position for scales and arpeggios.

Further Traditional, Advanced, and Innovative Fingering Tools.

Blocking. Patterns and sequences. Figuring out fingering backwards. Sliding. Changing fingers on a held note (substituting). One finger on two or more keys. Two or more fingers together on the same key. The thumb supporting other fingers. Support by the hand. Same finger on different keys. 
​Repeated notes with change of fingering. Repeated notes with no change of fingering. The thumb as a pivot. Thumb crawling. Skipping a finger – trills and turns. Crossing fingers, other than the thumb. Crossing and shifting between fingers 1 and 5. Alternative fingerings for some scales. Chromatic scales. Correlation between simultaneous fingerings in both hands.
​Redistribution of notes between the hands. Toccata style. Crossing hands and interlocking. Glissandos. Finger pedaling. 
​Clusters. General advice about technique.

Doubles.

Trills in double thirds. Trills in double fourths. Trills in chords. Semi-double trills. Scales in double thirds. Chromatic scales in double thirds. Scales in double fourths. Chromatic scales in double fourths. Scales in double fifths. Chromatic scales in double fifths. Scales in double sixths. Chromatic scales in double sixths 
Scales in double octaves. Chromatic scales in double octaves. Octaves with an extra note inside 
Large-Span Chords, Rolled Chords and Leaping Grace Notes.                           
Breathing.
Playing Four Hands on One Piano.