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Chorale Preludes

One Footed Bride Tuning — A just-intonation system of my own. Chords tuned to whole-number frequency ratios drawn from a tonality diamond, found by simulated annealing and then threaded together with Viterbi optimisation. These are successive passes at the same idea, newest first — each refines the tuning search and the orchestration over the one before it.

A full chorale prelude based on the latest tuning runs.

Recordings

12

Total length

78:23

Limits used

17, 19

Rendered

August 25, 2026

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

   17-limit · 5:30 · 96 BPM · Density 4 · ±1¢

   Download MP3 ball9-t53d_lm17_r1.25_df4_t1_d05_30_t096.mp3

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

   17-limit · 5:28 · 106 BPM · Density 2 · ±1¢

   Download MP3 ball9-t54d_lm17_r1.38_df2_t1_d05_28_t106.mp3

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

   17-limit · 2:16 · 60 BPM · Density 0 · ±1¢

   Download MP3 ball9-t55d_lm17_r1.25_df0_t1_d02_16_t060.mp3

4. BWV 256 Ach lieben Christen, seid getrost

   17-limit · 5:16 · 118 BPM · Density 5 · ±1¢

   Download MP3 ball9-t56d_lm17_r1.25_df5_t1_d05_16_t118.mp3

5. BWV 257 Wär Gott nicht mit uns diese Zeit

   17-limit · 4:35 · 122 BPM · Density 2 · ±1¢

   Download MP3 ball9-t57d_lm17_r1.25_df2_t1_d04_35_t122.mp3

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

   17-limit · 7:42 · 114 BPM · Density 3 · ±1¢

   Download MP3 ball9-t58d_lm17_r1.25_df3_t1_d07_42_t114.mp3

7. BWV 259 Ach, was soll ich Sünder machen

   17-limit · 4:58 · 92 BPM · Density 0 · ±1¢

   Download MP3 ball9-t59d_lm17_r1.25_df0_t1_d04_58_t092.mp3

8. BWV 260 Allein Gott in der Höh sei Ehr

   19-limit · 5:07 · 100 BPM · Density 1 · ±1¢

   Download MP3 ball9-t60d_lm19_r1.50_df1_t1_d05_07_t100.mp3

9. BWV 261 Allein zu dir, Herr Jesu Christ

   19-limit · 13:54 · 106 BPM · Density 3 · ±1¢

   Download MP3 ball9-t61d_lm19_r1.25_df3_t1_d13_54_t106.mp3

10. BWV 262 Alle Menschen müssen sterben

    19-limit · 7:04 · 80 BPM · Density 1 · ±3¢

    Download MP3 ball9-t62d_lm19_r1.50_df1_t3_d07_04_t080.mp3

11. BWV 263 Alles ist an Gottes Segen

    17-limit · 8:54 · 106 BPM · Density 4 · ±1¢

    Download MP3 ball9-t63d_lm17_r1.25_df4_t1_d08_54_t106.mp3

12. BWV 264 Als der gütige Gott

    17-limit · 7:39 · 106 BPM · Density 5 · ±1¢

    Download MP3 ball9-t64d_lm17_r1.25_df5_t1_d07_39_t106.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.