This scale also known as Mercator's scale and is very good for approximation of Pythagorean tuning. The Just Intonation may be very well approximated by this scale too. The least distance between the notes of this scale is between Didymus comma and Pythagorean comma. It can be named Holdrian comma (H-comma) and equals to 22.642 cents. The instrument having comma equal tempered scale I am naming commator since 1996. Since 1876 such instrument for H-commas named by R. H. M. Bosanquet enharmonic harmonium but I think that my name better translates the main idea of instrument with equal tempered commas. More about instruments with not only 12 tone equal tempered (12 t.e.t.) keyboards you can read in article "The general keyboard in the age of MIDI" by John S. Allen. Also you can read the good short article about 12 t.e.t. "Twelve-Tone Musical Scale" by Keith Enevoldsen.

The main task of my project is to be able to interprete scores for playing them in 53 t.e.t. and process of the interpretation has three branches:

1. The scores for 12 t.e.t. are transferred into 53 t.e.t. approximated Pythagorean scale and are analysed by means of a discipline, which I called Sonantometry. Each note will have a sonantometric formula as result. These formulas are the theoretical base for building Just Intonation and may be applied not only 53 t.e.t.

2. With the table developed by me the correspondences between the formulas, keys of 53 t.e.t. and pitch bends for 12 t.e.t. are found. Each note will have a pitch bend for 12 t.e.t. and some notes will have special accidentals after that. These accidentals in accordance with system from "Scala" software by Manuel Op de Coul are added to indicate how many H-commas these notes must be sharp or flat for approximated Pythagorean scale by 53 t.e.t.

3. The sounding of the score is tested by hearing and the fragments with false sound are detected. The formulas for cleaning these fragments are found.

Let me know about fragments with false sound detected by you!