Key Signatures and the Order of Sharps and Flats
Sharps arrive in the order F C G D A E B and flats in reverse. The order is the circle of fifths written out, one signature at a time.
The archive
28 pieces on how music is built and how it is written down — with playable examples, tables you can check, and no filler.
Sharps arrive in the order F C G D A E B and flats in reverse. The order is the circle of fifths written out, one signature at a time.
Quarter-comma meantone, the wolf fifth and the well temperaments in between: what keyboard tuning did to each key before equal temperament settled the argument.
Meter is a pattern of strong and weak positions, not a time signature: how it is built, how it stretches past the bar, and where performance contradicts it.
A modulation is not a chromatic chord; it is a new key confirmed by cadence. The routes into one, and how to read them off the page.
When chromatic harmony outgrew the tonal hierarchy, composers tried serial rules, rhythm, folk modes, and sound mass. What each method actually solved.
Polyrhythm, cross-rhythm and polymeter are not interchangeable. Counting the ratios shows what separates a divided span from a pattern set against a metre.
Naming an interval at sight takes two passes: count the staff positions first, then judge what the accidental does to the size.
Around 1600 the bass became the foundation of harmony and the modal system narrowed to two keys. What changed in the documents, and what the change cost.
Chromatic harmony widened a key without leaving it: the resources that do the work, the Tristan chord, and how to analyse it without over-labelling.
Middle C is C4 in scientific pitch notation, C3 on some manufacturers' labelling, and MIDI note 60 in every sequencer. The numbering is a convention.
A secondary dominant makes any chord a temporary tonic. How to spell one, where it turns up, and what cancels the effect.
The chordal seventh falls, the leading tone rises, and the tritone at the centre of V7 resolves by step. What each diatonic seventh chord is for.