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12-Tone Equal Temperament

12-tone equal temperament — The modern standard: the octave split into twelve identical steps. Every key is equally usable and no chord is perfectly in tune.

The control. The same twelve chorales in the tuning of every modern piano, for direct comparison.

Recordings

12

Total length

17:12

Limits used

17

Rendered

May 23, 2026

1. BWV 253 Ach bleib bei uns, Herr Jesu Christ

   17-limit · 1:17 · 34 BPM · Density 5 · ±1¢

   Download MP3 ball9-t53a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_17_t034.mp3

2. BWV 254 Ach Gott, erhör mein Seufzen und Wehklagen

   17-limit · 1:34 · 30 BPM · Density 5 · ±1¢

   Download MP3 ball9-t54a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_34_t030.mp3

3. BWV 255 Ach Gott und Herr, wie groß und schwer

   17-limit · 1:10 · 30 BPM · Density 5 · ±1¢

   Download MP3 ball9-t55a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_10_t030.mp3

4. BWV 256 Ach lieben Christen, seid getrost

   17-limit · 1:17 · 34 BPM · Density 5 · ±1¢

   Download MP3 ball9-t56a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_17_t034.mp3

5. BWV 257 Wär Gott nicht mit uns diese Zeit

   17-limit · 1:17 · 34 BPM · Density 5 · ±1¢

   Download MP3 ball9-t57a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_17_t034.mp3

6. BWV 258 Wo Gott der Herr nicht bei uns hält

   17-limit · 1:17 · 34 BPM · Density 5 · ±1¢

   Download MP3 ball9-t58a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_17_t034.mp3

7. BWV 259 Ach, was soll ich Sünder machen

   17-limit · 1:31 · 34 BPM · Density 5 · ±1¢

   Download MP3 ball9-t59a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_31_t034.mp3

8. BWV 260 Allein Gott in der Höh sei Ehr

   17-limit · 1:26 · 30 BPM · Density 5 · ±1¢

   Download MP3 ball9-t60a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_26_t030.mp3

9. BWV 261 Allein zu dir, Herr Jesu Christ

   17-limit · 2:10 · 34 BPM · Density 5 · ±1¢

   Download MP3 ball9-t61a_lm17_r1.50_sf0.00_df5_sp07_t1_d02_10_t034.mp3

10. BWV 262 Alle Menschen müssen sterben

    17-limit · 1:31 · 34 BPM · Density 5 · ±1¢

    Download MP3 ball9-t62a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_31_t034.mp3

11. BWV 263 Alles ist an Gottes Segen

    17-limit · 1:22 · 38 BPM · Density 5 · ±1¢

    Download MP3 ball9-t63a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_22_t038.mp3

12. BWV 264 Als der gütige Gott

    17-limit · 1:20 · 30 BPM · Density 5 · ±1¢

    Download MP3 ball9-t64a_lm17_r1.50_sf0.00_df5_sp07_t1_d01_20_t030.mp3

Filenames encode the settings each render used: lm17 is a 17-limit tonality diamond, r1.12 the ratio factor, df2 the orchestration density, t1 a tolerance of one cent, and the trailing t106 the tempo.