Intervals

Timeline · Exhibit

What changed,
and when?

Choose a date. Each card pairs a claim with its status and source as interval theory moves from ratio to hearing.

Selected date 1 of 8

about 500 BCE · Greek world

Ratios enter the record

Writers linked the octave, fifth, and fourth with small number ratios. The forge story was recorded centuries after Pythagoras and gives the wrong rule for hammer weight.

Status
Later attribution
Reference
Pythagorean tuning and later monochord accounts

Each date marks influential surviving evidence. Musicians often used an idea before a writer described it. This Western record covers a narrow part of musical thought. Musical cultures outside this record developed their own tuning systems and theories.

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Timeline · Reference map

Find what changed, and when.

Add or remove remembered ratios, then play the constellation together and one note at a time. Notice how settled or tense each remembered relationship sounds. Every point recalls an interval carried from another room; the controls redraw that accumulated record without changing it. The map gathers the sounds you tested across the museum into one picture.

Add or remove remembered ratios, then play them together and one note at a time. Hear how settled or tense each relationship sounds. Every point carries an interval from another room without changing its record. The map gathers the sounds you tested across the museum.

Review the ratios3-point constellation