Linked from

The 15 pages that link to Pythagorean tuning, each with the reason it gives.

• Equal temperamentCompared with: Its pure fifths accumulate a comma that equal temperament distributes across the scale.

• PythagoreanismBroader topic: It demonstrates how numerical ratios can organize a practical musical system.

• Just intonationBroader topic: It is a historically influential just-intonation system built primarily from one consonant ratio.

• Musical intervalCompared with: Its interval sizes differ from equal temperament because fifths are tuned by ratios.

• Musical acousticsRelated: Its frequency ratios are an early mathematical account of musical consonance.

• Musical tuningBroader topic: Its chain of fifths exposes the mismatch between pure intervals and closed pitch cycles.

• DissonanceRelated: Its simple ratios helped anchor ancient accounts of consonant and dissonant intervals.

• Chromatic scaleRelated: Its uneven semitones contrast with the equal steps of modern chromatic scales.

• Diatonic scaleRelated: Its fifth-based construction shaped early accounts of seven-note pitch collections.

• Musical temperamentBroader topic: Its fifth-based construction demonstrates how tuning one interval can distort others.

• Consonance and dissonanceRelated: Its ratio-based account made numerical simplicity central to early explanations of consonance.

• Vincenzo GalileiCompared with: His experiments challenged the claim that simple ratios alone explained musical consonance.

• Gioseffo ZarlinoRelated: Zarlino inherited a mathematical tradition whose tuning limits he scrutinized.

• Ancient musicRelated: Ancient writers used ratios to explain consonant intervals and musical order.

• Music and mathematicsBroader topic: It exemplifies an early mathematical account of musical consonance.