# Synesthetic Explorations: An Autoethnographic Study on Music, Color, and Creativity/Pitch As
## Pitch Test: A# - Overview

This section provides a detailed analysis of synesthetic responses to the pitch A#, across six battery tests. Each test measured RGB values and associated Z-scores, examining the color outputs for consistency and outliers.
Battery Cycle Completion Times - Pitch A
| Battery | Start Time | Finish Time | Time Span |
| Battery 1 | 09:15 | 09:23 | 8 min |
| Battery 2 | 10:17 | 10:19 | 2 min |
| Battery 3 | 11:10 | 11:14 | 4 min |
| Battery 4 | 10:56 | 11:02 | 6 min |
| Battery 5 | 14:36 | 14:40 | 4 min |
| Battery 6 | 14:55 | 14:56 | 1 min |
Number of Data Sets per Pitch (3 tests by battery) x 6 = 18

## Test Data Overview

Data Set Analysis: For each test, the average (mean) and standard deviation (STD) of RGB values were calculated to determine central tendencies and variation in the data.
Distance Calculations: Relative Distances - Calculated as the absolute difference between the current and previous RGB values, normalized by 255 to express the difference as a percentage.
Z-Score Calculation: Z-scores were used to measure how far each RGB value deviates from the average, helping to identify outliers.
Normalized Distribution: Each RGB value was normalized to a scale between 0 and 1 using the minimum and maximum values of the dataset.
Closeness to Target Color (Euclidean Distance): Calculated to measure the distance between each test result and the corrected average (target color). If the distance was less than 30%, the result was classified as “Close”; otherwise, it was classified as “Off.”
Test Data Overview for Pitch As (including RGB distances, Z-scores, and normalized distributions)
| Test | Battery | Test ID | Timestamp | Battery ID | R | G | B | Color Name | R dist | G dist | B dist | Total Dist | R Z-Score | G Z-Score | B Z-Score | Outlier Status | Closeness to Avg (%) | Closeness Classification |
| 1 | 1 | 14446794 | 09:15:35 | 236369 | 247 | 30 | 182 | Red-Violet | 0% | 8% | 10% | 18% | 0.55 | -0.02 | 0.41 | Inlier | 3.31% | CLOSE |
| 2 | 1 | 14446810 | 09:19:45 | 236369 | 243 | 80 | 212 | Red-Violet | 2% | 20% | 12% | 33% | 0.42 | 1.58 | 1.41 | Inlier | 14.15% | CLOSE |
| 3 | 1 | 14446832 | 09:23:33 | 236369 | 238 | 40 | 193 | Red-Violet | 2% | 16% | 7% | 25% | 0.26 | 0.30 | 0.78 | Inlier | 5.06% | CLOSE |
| 4 | 2 | 14446970 | 10:17:03 | 236392 | 246 | 79 | 220 | Red-Violet | 3% | 15% | 11% | 29% | 0.51 | 1.55 | 1.68 | Inlier | 15.30% | CLOSE |
| 5 | 2 | 14446984 | 10:18:39 | 236392 | 240 | 84 | 207 | Red-Violet | 2% | 2% | 5% | 9% | 0.32 | 1.71 | 1.24 | Inlier | 14.14% | CLOSE |
| 6 | 2 | 14446996 | 10:19:47 | 236392 | 234 | 79 | 208 | Red-Violet | 2% | 2% | 0% | 5% | 0.13 | 1.55 | 1.28 | Inlier | 13.35% | CLOSE |
| 7 | 3 | 14447007 | 11:10:51 | 236393 | 248 | 26 | 166 | Red-Violet | 5% | 21% | 16% | 43% | 0.58 | -0.15 | -0.13 | Inlier | 3.27% | CLOSE |
| 8 | 3 | 14447017 | 11:13:13 | 236393 | 202 | 16 | 160 | Violet | 18% | 4% | 2% | 24% | -0.89 | -0.47 | -0.33 | Inlier | 9.07% | CLOSE |
| 9 | 3 | 14447026 | 11:14:37 | 236393 | 237 | 60 | 156 | Red-Violet | 14% | 17% | 2% | 33% | 0.23 | 0.94 | -0.46 | Inlier | 7.24% | CLOSE |
| 10 | 4 | 14453150 | 10:56:41 | 236593 | 205 | 0 | 146 | Violet | 13% | 24% | 4% | 40% | -0.80 | -0.98 | -0.79 | Inlier | 11.81% | CLOSE |
| 11 | 4 | 14453174 | 11:02:14 | 236593 | 222 | 11 | 134 | Violet | 7% | 4% | 5% | 16% | -0.25 | -0.63 | -1.20 | Inlier | 10.41% | CLOSE |
| 12 | 4 | 14453175 | 11:02:20 | 236593 | 228 | 8 | 151 | Violet | 2% | 1% | 7% | 10% | -0.06 | -0.73 | -0.63 | Inlier | 7.54% | CLOSE |
| 13 | 5 | 14453325 | 14:36:38 | 236597 | 118 | 2 | 131 | Blue-Violet | 43% | 2% | 8% | 53% | -3.58 | -0.92 | -1.30 | Outlier | 29.22% | CLOSE |
| 14 | 5 | 14453342 | 14:40:20 | 236597 | 250 | 13 | 163 | Violet | 52% | 4% | 13% | 69% | 0.64 | -0.57 | -0.23 | Inlier | 5.72% | CLOSE |
| 15 | 5 | 14453343 | 14:40:25 | 236597 | 248 | 5 | 115 | Red-Violet | 1% | 3% | 19% | 23% | 0.58 | -0.82 | -1.83 | Inlier | 14.56% | CLOSE |
| 16 | 6 | 14453372 | 14:55:13 | 236599 | 241 | 2 | 179 | Red-Violet | 3% | 1% | 25% | 29% | 0.35 | -0.92 | 0.31 | Inlier | 7.12% | CLOSE |
| 17 | 6 | 14453375 | 14:56:01 | 236599 | 245 | 7 | 177 | Red-Violet | 2% | 2% | 1% | 4% | 0.48 | -0.76 | 0.24 | Inlier | 6.15% | CLOSE |
| 18 | 6 | 14453379 | 14:56:24 | 236599 | 247 | 10 | 156 | Red-Violet | 1% | 1% | 8% | 10% | 0.55 | -0.66 | -0.46 | Inlier | 6.67% | CLOSE |
| Synesthetic Explorations by Arnaud Quercy - Pitch As | Synesthetic Explorations by Arnaud Quercy - Z Score Pitch As |
| Statistic | R | G | B | Color Name | Closeness to Avg (%) |
| Average | 230 | 31 | 170 | Red-Violet | 10.23% |
| Min | 118 | 0 | 115 | Red-Violet | 3.27% |
| Max | 250 | 84 | 220 | Red-Violet | 29.22% |
| Standard Dev (value) | 31 | 31 | 30 | | |
| Standard Dev (%) | 12% | 12% | 12% | | 6.17% |

### Geometric Distance Results

Pass/Fail Classification: Texsyn Toolbox Method-Tests are evaluated based on Geometric distances. If the total distance is less than 1, the test is classified as “Pass,” and if greater than 1, the test is classified as “Fail.” This method aligns with the Synesthesia Battery / Texsyn Toolbox. https://synesthete.ircn.jp/files/EaglemanetalSynesthesiaBattery2006.pdf
Result using Euclidian Distances / Test Batteries :
| Battery | R Dist | G Dist | B Dist | Total Distance | Status |
| Battery 1 | 0.07 | 0.39 | 0.24 | 0.70 | PASS |
| Battery 2 | 0.09 | 0.04 | 0.10 | 0.24 | PASS |
| Battery 3 | 0.36 | 0.35 | 0.08 | 0.78 | PASS |
| Battery 4 | 0.18 | 0.09 | 0.13 | 0.40 | PASS |
| Battery 5 | 1.04 | 0.09 | 0.38 | 1.50 | FAILED |
| Battery 6 | 0.05 | 0.06 | 0.18 | 0.29 | PASS |

### Average RGB Without Outliers (Z-score < abs(2))

Recalculation Excluding Outliers: After identifying outliers, averages, minimums, and maximums were recalculated to define a more accurate target color by excluding extreme values.
| Statistic | R | G | B | Color Name |
| Average | 237 | 32 | 172 | RED-VIOLET |
| Min | 230 | 17 | 158 | RED-VIOLET |
| Max | 243 | 47 | 186 | RED-VIOLET |
| Standard Error | 4 | 8 | 7 | |
| Margin of Error (%) | 2.71% | 5.84% | 5.44% | 4.66% |
| Number of Inliers | 17 | 17 | 17 | 94% |

### Average RGB of Outliers Only (Z-score > abs(2))

Outlier Identification and Trend Analysis: Outliers are analyzed separately to explore possible patterns or relationships between pitch proximity and color, considering color blindness and relative pitch shifts.
| Statistic | R | G | B | Color Name |
| Average | 118 | 2 | 131 | BLUE-VIOLET |
| Number of Outliers | 1 | 1 | 1 | 5.56% |