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Late August 2026

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 short-repeats pass on a new tuning search that closes the gap in cents between adjacent chords to zero or near zero, at the cost of slightly higher integer-ratio scores.

Recordings

12

Total length

17:24

Limits used

17, 19

Rendered

August 21, 2026

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

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

   Download MP3 ball9-t53d_lm17_r1.25_df5_t1_d01_17_t034.mp3

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

   19-limit · 1:15 · 38 BPM · Density 5 · ±1¢

   Download MP3 ball9-t54d_lm19_r1.38_df5_t1_d01_15_t038.mp3

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

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

   Download MP3 ball9-t55d_lm17_r1.25_df5_t1_d01_10_t030.mp3

4. BWV 256 Ach lieben Christen, seid getrost

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

   Download MP3 ball9-t56d_lm19_r1.25_df5_t1_d01_26_t030.mp3

5. BWV 257 Wär Gott nicht mit uns diese Zeit

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

   Download MP3 ball9-t57d_lm17_r1.25_df5_t1_d01_17_t034.mp3

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

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

   Download MP3 ball9-t58d_lm19_r1.25_df5_t1_d01_26_t030.mp3

7. BWV 259 Ach, was soll ich Sünder machen

   19-limit · 1:22 · 38 BPM · Density 5 · ±3¢

   Download MP3 ball9-t59d_lm19_r1.62_df5_t3_d01_22_t038.mp3

8. BWV 260 Allein Gott in der Höh sei Ehr

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

   Download MP3 ball9-t60d_lm17_r1.25_df5_t2_d01_17_t034.mp3

9. BWV 261 Allein zu dir, Herr Jesu Christ

   19-limit · 2:26 · 30 BPM · Density 5 · ±1¢

   Download MP3 ball9-t61d_lm19_r1.38_df5_t1_d02_26_t030.mp3

10. BWV 262 Alle Menschen müssen sterben

    17-limit · 1:42 · 30 BPM · Density 5 · ±2¢

    Download MP3 ball9-t62d_lm17_r1.25_df5_t2_d01_42_t030.mp3

11. BWV 263 Alles ist an Gottes Segen

    17-limit · 1:42 · 30 BPM · Density 5 · ±1¢

    Download MP3 ball9-t63d_lm17_r1.25_df5_t1_d01_42_t030.mp3

12. BWV 264 Als der gütige Gott

    19-limit · 1:04 · 38 BPM · Density 5 · ±1¢

    Download MP3 ball9-t64d_lm19_r1.50_df5_t1_d01_04_t038.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.