The encoding algorithm for frequency is log2((double)freq/10.0)*32.0. The algorithm for amplitude is split in 3 range indexes (idx < 16, 16 <= idx < 32, idx < 128), it is:

// 32<= idx < 128
log2f(8.7f*amp)*32.0f

// 16 <= idx < 32
log2f(17.0f*amp)*16.0f

An example of code using it is:

//Float frequency to hex conversion
if (freq < 0.0f)
  freq = 0.0f;
else if (freq > 1252.0f)
  freq = 1252.0f;
uint8_t encoded_hex_freq = (uint8_t)round(log2((double)freq/10.0)*32.0);

//Convert to Joy-Con HF range. Range in big-endian: 0x0004-0x01FC with +0x0004 steps.
uint16_t hf = (encoded_hex_freq-0x60)*4;
//Convert to Joy-Con LF range. Range: 0x01-0x7F.
uint8_t lf = encoded_hex_freq-0x40;

// Float amplitude to hex conversion
uint8_t encoded_hex_amp = 0;
if(amp > 0.23f)
  encoded_hex_amp = (uint8_t)round(log2f(amp*8.7f)*32.f);
else if(amp > 0.12f)
  encoded_hex_amp = (uint8_t)round(log2f(amp*17.f)*16.f);
else{
  // TBD
}
uint16_t hf_amp = encoded_hex_amp * 2;    // encoded_hex_amp<<1;
uint8_t lf_amp = encoded_hex_amp / 2 + 64;// (encoded_hex_amp>>1)+0x40;

The high frequency and low amplitude are encoded and must always add the "control" byte to the HA/LF byte. An example is the following:

//Left linear actuator
uint16_t hf = 0x01a8; //Set H.Frequency
uint8_t hf_amp = 0x88; //Set H.Frequency amplitude
//Byte swapping
byte[0] = hf & 0xFF;
byte[1] = hf_amp + ((hf >> 8) & 0xFF); //Add amp + 1st byte of frequency to amplitude byte

uint8_t lf = 0x63; //Set L.Frequency
uint16_t lf_amp = 0x804d; //Set L.Frequency amplitude
//Byte swapping
byte[2] = lf + ((lf_amp >> 8) & 0xFF); //Add freq + 1st byte of LF amplitude to the frequency byte
byte[3] = lf_amp & 0xFF;

Frequency Table

Values # are in HEX.

HF Byte 0-1 #	LF Byte 2 #	Frequency (Hz)	Frequency Rounded (Hz)
	`01`	40.875885	41
	`02`	41.77095	42
	`03`	42.685616	43
	`04`	43.620308	44
	`05`	44.57547	45
	`06`	45.551544	46
	`07`	46.548996	47
	`08`	47.568283	48
	`09`	48.609894	49
	`0A`	49.674313	50
	`0B`	50.762039	51
	`0C`	51.873581	52
	`0D`	53.009464	53
	`0E`	54.170223	54
	`0F`	55.356396	55
	`10`	56.568542	57
	`11`	57.807232	58
	`12`	59.073048	59
	`13`	60.366577	60
	`14`	61.688435	62
	`15`	63.039234	63
	`16`	64.419617	64
	`17`	65.830215	66
	`18`	67.271713	67
	`19`	68.744774	69
	`1A`	70.250084	70
	`1B`	71.788361	72
	`1C`	73.360321	73
	`1D`	74.966705	75
	`1e`	76.608261	77
	`1f`	78.285767	78
	`20`	80	80
`04 00`	`21`	81.75177	82
`08 00`	`22`	83.541901	84
`0c 00`	`23`	85.371231	85
`10 00`	`24`	87.240616	87
`14 00`	`25`	89.15094	89
`18 00`	`26`	91.103088	91
`1c 00`	`27`	93.097992	93
`20 00`	`28`	95.136566	95
`24 00`	`29`	97.219788	97
`28 00`	`2a`	99.348625	99
`2c 00`	`2b`	101.524078	102
`30 00`	`2c`	103.747162	104
`34 00`	`2d`	106.018929	106
`38 00`	`2e`	108.340446	108
`3c 00`	`2f`	110.712791	111
`40 00`	`30`	113.137085	113
`44 00`	`31`	115.614464	116
`48 00`	`32`	118.146095	118
`4c 00`	`33`	120.733154	121
`50 00`	`34`	123.376869	123
`54 00`	`35`	126.078468	126
`58 00`	`36`	128.839233	129
`5c 00`	`37`	131.660431	132
`60 00`	`38`	134.543427	135
`64 00`	`39`	137.489548	137
`68 00`	`3a`	140.500168	141
`6c 00`	`3b`	143.576721	144
`70 00`	`3c`	146.720642	147
`74 00`	`3d`	149.933411	150
`78 00`	`3e`	153.216522	153
`7c 00`	`3f`	156.571533	157
`80 00`	`40`	160	160
`84 00`	`41`	163.50354	164
`88 00`	`42`	167.083801	167
`8c 00`	`43`	170.742462	171
`90 00`	`44`	174.481232	174
`94 00`	`45`	178.30188	178
`98 00`	`46`	182.206177	182
`9c 00`	`47`	186.195984	186
`a0 00`	`48`	190.273132	190
`a4 00`	`49`	194.439575	194
`a8 00`	`4a`	198.69725	199
`ac 00`	`4b`	203.048157	203
`b0 00`	`4c`	207.494324	207
`b4 00`	`4d`	212.037857	212
`b8 00`	`4e`	216.680893	217
`bc 00`	`4f`	221.425583	221
`c0 00`	`50`	226.27417	226
`c4 00`	`51`	231.228928	231
`c8 00`	`52`	236.292191	236
`cc 00`	`53`	241.466309	241
`d0 00`	`54`	246.753738	247
`d4 00`	`55`	252.156937	252
`d8 00`	`56`	257.678467	258
`dc 00`	`57`	263.320862	263
`e0 00`	`58`	269.086853	269
`e4 00`	`59`	274.979095	275
`e8 00`	`5a`	281.000336	281
`ec 00`	`5b`	287.153442	287
`f0 00`	`5c`	293.441284	293
`f4 00`	`5d`	299.866821	300
`f8 00`	`5e`	306.433044	306
`fc 00`	`5f`	313.143066	313
`00 01`	`60`	320	320
`04 01`	`61`	327.00708	327
`08 01`	`62`	334.167603	334
`0c 01`	`63`	341.484924	341
`10 01`	`64`	348.962463	349
`14 01`	`65`	356.60376	357
`18 01`	`66`	364.412354	364
`1c 01`	`67`	372.391968	372
`20 01`	`68`	380.546265	381
`24 01`	`69`	388.87915	389
`28 01`	`6a`	397.394501	397
`2c 01`	`6b`	406.096313	406
`30 01`	`6c`	414.988647	415
`34 01`	`6d`	424.075714	424
`38 01`	`6e`	433.361786	433
`3c 01`	`6f`	442.851166	443
`40 01`	`70`	452.54834	453
`44 01`	`71`	462.457855	462
`48 01`	`72`	472.584381	473
`4c 01`	`73`	482.932617	483
`50 01`	`74`	493.507477	494
`54 01`	`75`	504.313873	504
`58 01`	`76`	515.356934	515
`5c 01`	`77`	526.641724	527
`60 01`	`78`	538.173706	538
`64 01`	`79`	549.958191	550
`68 01`	`7a`	562.000671	562
`6c 01`	`7b`	574.306885	574
`70 01`	`7c`	586.882568	587
`74 01`	`7d`	599.733643	600
`78 01`	`7e`	612.866089	613
`7c 01`	`7f`	626.286133	626
`80 01`		640	640
`84 01`		654.01416	654
`88 01`		668.335205	668
`8c 01`		682.969849	683
`90 01`		697.924927	698
`94 01`		713.20752	713
`98 01`		728.824707	729
`9c 01`		744.783936	745
`a0 01`		761.092529	761
`a4 01`		777.758301	778
`a8 01`		794.789001	795
`ac 01`		812.192627	812
`b0 01`		829.977295	830
`b4 01`		848.151428	848
`b8 01`		866.723572	867
`bc 01`		885.702332	886
`c0 01`		905.09668	905
`c4 01`		924.91571	925
`c8 01`		945.168762	945
`cc 01`		965.865234	966
`d0 01`		987.014954	987
`d4 01`		1008.627747	1009
`d8 01`		1030.713867	1031
`dc 01`		1053.283447	1053
`e0 01`		1076.347412	1076
`e4 01`		1099.916382	1100
`e8 01`		1124.001343	1124
`ec 01`		1148.61377	1149
`f0 01`		1173.765137	1174
`f4 01`		1199.467285	1199
`f8 01`		1225.732178	1226
`fc 01`		1252.572266	1253

Amplitude Table

HA Byte 1 #	LA Byte 2-3 #	Amplitude	Amplitude Rounded
`0`	`00 40`	0.000000	0.000
`2`	`80 40`	0.007843	0.010
`4`	`00 41`	0.011823	0.012
`6`	`80 41`	0.014061	0.014
`8`	`00 42`	0.016720	0.017
`0a`	`80 42`	0.019885	0.020
`0c`	`00 43`	0.023648	0.024
`0e`	`80 43`	0.028123	0.028
`10`	`00 44`	0.033442	0.033
`12`	`80 44`	0.039771	0.040
`14`	`00 45`	0.047296	0.047
`16`	`80 45`	0.056246	0.056
`18`	`00 46`	0.066886	0.067
`1a`	`80 46`	0.079542	0.080
`1c`	`00 47`	0.094592	0.095
`1e`	`80 47`	0.112491	0.112
`20`	`00 48`	0.117471	0.117
`22`	`80 48`	0.122671	0.123
`24`	`00 49`	0.128102	0.128
`26`	`80 49`	0.133774	0.134
`28`	`00 4a`	0.139697	0.140
`2a`	`80 4a`	0.145882	0.146
`2c`	`00 4b`	0.152341	0.152
`2e`	`80 4b`	0.159085	0.159
`30`	`00 4c`	0.166129	0.166
`32`	`80 4c`	0.173484	0.173
`34`	`00 4d`	0.181166	0.181
`36`	`80 4d`	0.189185	0.189
`38`	`00 4e`	0.197561	0.198
`3a`	`80 4e`	0.206308	0.206
`3c`	`00 4f`	0.215442	0.215
`3e`	`80 4f`	0.224982	0.225
`40`	`00 50`	0.229908	0.230
`42`	`80 50`	0.234943	0.235
`44`	`00 51`	0.240087	0.240
`46`	`80 51`	0.245345	0.245
`48`	`00 52`	0.250715	0.251
`4a`	`80 52`	0.256206	0.256
`4c`	`00 53`	0.261816	0.262
`4e`	`80 53`	0.267549	0.268
`50`	`00 54`	0.273407	0.273
`52`	`80 54`	0.279394	0.279
`54`	`00 55`	0.285514	0.286
`56`	`80 55`	0.291765	0.292
`58`	`00 56`	0.298154	0.298
`5a`	`80 56`	0.304681	0.305
`5c`	`00 57`	0.311353	0.311
`5e`	`80 57`	0.318171	0.318
`60`	`00 58`	0.325138	0.325
`62`	`80 58`	0.332258	0.332
`64`	`00 59`	0.339534	0.340
`66`	`80 59`	0.346969	0.347
`68`	`00 5a`	0.354566	0.355
`6a`	`80 5a`	0.362331	0.362
`6c`	`00 5b`	0.370265	0.370
`6e`	`80 5b`	0.378372	0.378
`70`	`00 5c`	0.386657	0.387
`72`	`80 5c`	0.395124	0.395
`74`	`00 5d`	0.403777	0.404
`76`	`80 5d`	0.412619	0.413
`78`	`00 5e`	0.421652	0.422
`7a`	`80 5e`	0.430885	0.431
`7c`	`00 5f`	0.440321	0.440
`7e`	`80 5f`	0.449964	0.450
`80`	`00 60`	0.459817	0.460
`82`	`80 60`	0.469885	0.470
`84`	`00 61`	0.480174	0.480
`86`	`80 61`	0.490689	0.491
`88`	`00 62`	0.501433	0.501
`8a`	`80 62`	0.512413	0.512
`8c`	`00 63`	0.523633	0.524
`8e`	`80 63`	0.535100	0.535
`90`	`00 64`	0.546816	0.547
`92`	`80 64`	0.558790	0.559
`94`	`00 65`	0.571027	0.571
`96`	`80 65`	0.583530	0.584
`98`	`00 66`	0.596307	0.596
`9a`	`80 66`	0.609365	0.609
`9c`	`00 67`	0.622708	0.623
`9e`	`80 67`	0.636344	0.636
`a0`	`00 68`	0.650279	0.650
`a2`	`80 68`	0.664518	0.665
`a4`	`00 69`	0.679069	0.679
`a6`	`80 69`	0.693939	0.694
`a8`	`00 6a`	0.709133	0.709
`aa`	`80 6a`	0.724662	0.725
`ac`	`00 6b`	0.740529	0.741
`ae`	`80 6b`	0.756745	0.757
`b0`	`00 6c`	0.773316	0.773
`b2`	`80 6c`	0.790249	0.790
`b4`	`00 6d`	0.807554	0.808
`b6`	`80 6d`	0.825237	0.825
`b8`	`00 6e`	0.843307	0.843
`ba`	`80 6e`	0.861772	0.862
`bc`	`00 6f`	0.880643	0.881
`be`	`80 6f`	0.899928	0.900
`c0`	`00 70`	0.919633	0.920
`c2`	`80 70`	0.939771	0.940
`c4`	`00 71`	0.960348	0.960
`c6`	`80 71`	0.981378	0.981
`c8`	`00 72`	1.002867	1.003

The amplitudes below are not safe for the integrity of the linear resonant actuators.

HA Byte 1 #	LA Byte 2-3 #	Amplitude	Amplitude Rounded
`ca`	`80 72`	1.024826	1.025
`cc`	`00 73`	1.047266	1.047
`ce`	`80 73`	1.070197	1.070
`d0`	`00 74`	1.093630	1.094
`d2`	`80 74`	1.117576	1.118
`d4`	`00 75`	1.142045	1.142
`d6`	`80 75`	1.167051	1.167
`d8`	`00 76`	1.192603	1.193
`da`	`80 76`	1.218715	1.219
`dc`	`00 77`	1.245398	1.245
`de`	`80 77`	1.272665	1.273
`e0`	`00 78`	1.300529	1.301
`e2`	`80 78`	1.329003	1.329
`e4`	`00 79`	1.358100	1.358
`e6`	`80 79`	1.387834	1.388
`e8`	`00 7a`	1.418218	1.418
`ea`	`80 7a`	1.449268	1.449
`ec`	`00 7b`	1.480997	1.481
`ee`	`80 7b`	1.513420	1.513
`f0`	`00 7c`	1.546553	1.547
`f2`	`80 7c`	1.580411	1.580
`f4`	`00 7d`	1.615010	1.615
`f6`	`80 7d`	1.650366	1.650
`f8`	`00 7e`	1.686497	1.686
`fa`	`80 7e`	1.723417	1.723
`fc`	`00 7f`	1.761146	1.761
`fe`	`80 7f`	1.799701	1.800

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Frequency Table

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