Discordance
Discordance is unconformity, disagreement and dissimilarity.
With this theme in mind, I made sketch models that abide to aesthetic rules, but I disregarded the rule of having to put the principle axis perpendicular to each other. This is due to a personal opinion that having right angles in the sketch model would contradict the theme of discordance.
Sketch Model 1

Piercing the SD through the D shows clashing commodities which expresses the idea of discordance. However, to create a sketch model that has aesthetics despite the theme, I incorporated a tad of the rule of thirds.
Sketch Model 2
The principle axis are all at clashing angles. In addition, the SD is positioned using the rule of thirds as well. I like this model because of how the SO supports the whole structure. The smallest component is what causes the sketch model to rest at an angle which is interesting.
Choice of Materials
I decided to use materials that are prominent in houses in Japan because I like the warmth it creates. This includes organic materials like wood, paper, bamboo straw mats. However, to follow the theme of discordance, I chose to include a contrasting material not usually used in Japanese architecture.

Final Model






The dominant and sub-dominant are made with organic materials as previously mentioned, while the sub-ordinate is made using a contrasting man-made material – metal. This choice is made to portray discordance with the clashing materials. The sub-ordinate component was made such that it can look solid or fragile depending on the angle where you look at the model.
Applications
Lantern
The final model can be used as an ornamental lantern especially due to the translucent paper used where light can pass through.
House
The organic materials would create a great contrast to surrounding buildings, hence it will be in discord to other concrete solid architecture. However the materials makes this impractical.