In the Modal Mosaic, the K on the Tetragram represents your Kentro (Center) or Fundamental. Click any line to set its position, or switch to a Pentagram where the K acts as a clef-selector: clicking the second, third, or fourth lines dynamically switches the staff between Sol (Treble), Do (Alto), and Fa (Bass) claves. From here, you can toggle between Greek and Medieval modes to explore their unique structural criteria. In the Modal Mosaic, when you move the K, you are essentially choosing whether it acts as the Greek Kentro (measuring ratios outward) or the Medieval Finalis (building a scale upward). You can also record and play back your own melodies using your computer keyboard.
The transition from Ancient Greek to Medieval music involves a significant historical shift in both notation and theory. While the Tetragram (the four-line staff) is a medieval innovation from the 11th century—perfected by Guido d'Arezzo to provide a fixed "grid" for pitch—the theoretical order of the modes was rewritten even earlier. During the 9th-century Carolingian Renaissance, theorists attempting to organise Gregorian chant misinterpreted ancient Greek texts, leading to a "scrambling" of the system.
This reorganisation changed two fundamental principles: direction and nomenclature. The Ancient Greek system was conceived descending (from high to low), reflecting string tension, while Medieval theorists flipped the scales to be ascending. Furthermore, the names themselves were swapped; the Greek "Dorian" was reassigned to the scale starting on D, creating the Medieval Dorian we recognise today.
In the Modal Mosaic, switching between these two frameworks allows you to see how the same "common language" of Pythagorean ratios (3ⁿ/2ᵐ) can be mapped onto different historical structures. Whether you are using the Greek descending logic or the Medieval ascending staff, the mathematical purity of the intervals remains the constant foundation of the sound.
The Medieval and Ecclesiastic Modes emerged from the effort to standardize the liturgy of the Western Church through Gregorian chant. Central to this system is the Tetragram, the four-line staff introduced in the 11th century, which allowed for the first precise visual mapping of intervals. Unlike the ancient Greek system, these modes are strictly ascending, built from the bottom up to reflect the singers' vocal range rather than the tension of a descending string.
This system is governed by two main criteria: the Finalis (the "K" or home note where the melody concludes) and the Ambitus (the range of the melody). Modes are categorized as Authentic or Plagal. In Authentic modes, the melody stays primarily above the Finalis, while in Plagal modes, the melody circles around it. By the 9th century, the original Greek names were reassigned to these new structures, creating the "Dorian," "Phrygian," "Lydian," and "Mixolydian" categories we use today.